Q: A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast i...

A: Now we will diffrentiate the formula of volume of a sphere as shown:

Q: Find the sum of the telescoping series k=1

A: Given telescopic series:

Q: 6. In a tank there are 1000 gal of water with a concentration of 1 lb per gallon of pollutant. Water...

A: Rate of change of pollutant in the mixture = dp/dt

Q: The derivative of the function y = yz (2 + z).

A: It is given that

Q: 2x -1 dz

A: It is given that

Q: Score-0 of 1 pt 9.4.9 Evaluate the following limit using Taylor series -x-In (1-x) lim x 21x2 -x-In ...

A: Click to see the answer

Q: 9.4.12 e* (1 x) Use series to evaluate im to evaluate lim x→0 11 e* (1 x) lim x0 11x Type a simplifi...

A: Click to see the answer

Q: 9.4.28 Consider the function f(x)-cos (x) a. Differentiate the Taylor series about 0 for f(x) b. lde...

A: To differentiate the Taylor series of about 0,first let us differentiate , then find their cor...

Q: 9.4.31 Consider the function fx)-4 tan (x) a. Differentiate the Taylor series about 0 for f(x). b. I...

A: To differentiate the Taylor series of f(x) about 0, first let us differentiate , then f...

Q: 9.4.12 e* (1 x) Use series to evaluate im to evaluate lim x→0 11 e* (1 x) lim x0 11x Type a simplifi...

A: Click to see the answer

Q: &10.3.5 Question Help Find the slope of the line tangent to the following polar curve at the given p...

A: Given: The provided polar curve is

Q: 9.4.38 Question Help * Use a series to estimate the following integral's value with an error of magn...

A: We know that Maclaurian series for sin x is

Q: Ques 9.4.42 Use a Taylor series to approximate the following definite integral. Retain as many terms...

A: We know that the Taylor series for ln (1+x) is same as Maclaurian seriesThat is

Q: 9.4.45 Use an appropriate Taylor series to find the first four nonzero terms of an infinite series t...

A: We know that the Taylor series is same as Maclaurian series for ex. That is

Q: 10.2.17 Express the polar coordinates 3,3in Cartesian coordinates What is the point in rectangular c...

A: Given Polar Coordinate is:

Q: 10.2.19 Express the polar coordinates4,in Cartesian coordinates What is the point in rectangular coo...

A: Given Polar Coordinate is:

Q: 10.2.23 Express the Cartesian coordinates (-1V3) in polar coordinates in at least two different ways...

A: A cartesian coordinate of the form (x,y) is written in polar coordinate form as (r,θ) where:

Q: 10.2.17 Express the polar coordinates 3,-in Cartesian coordinates What is the point in rectangular c...

A: Polar coordinates:

Q: 10.2.19 Express the polar coordinates |-4 งิ in Cartesian coordinates. is the point in rectangular c...

A: Polar coordinates:

Q: 10.2.23 Express the Cartesian coordinates(-1V3) in polar coordinates in at least two different ways ...

A: Given: The provided Catesian coordinates is

Q: 10.2.25 Express the following Cartesian coordinates in polar coordinates in two ways (6.-6V3) Select...

A: Click to see the answer

Q: 10.2.19 Express the polar coordinates「 in Cartesian coordinates What is the point in rectangular coo...

A: To express the polar coordinates in Cartesian (rectangular) coordinates

Q: 10.2.25 Express the following Cartesian coordinates in polar coordinates in two ways 6,-6/3) Select ...

A: To express the Cartesian (rectangular) coordinates in Polar coordinates

Q: Limit comparison : sqrt (n+4) /n^2Alternative series : (-1)^n ln(1+ 2/n^2)Ratio test : 4^n/(n-2)!

A: Limit Comparision Test:

Q: Previous Problem List Next (1 point) Let F be the radial force field F zi + to (10, 100). (Compare y...

A: A.Given radial force field F = xi + yjFor Parabola C1, x,y coordinates are x = t , y = t2Parabola ...

Q: Previous Problem List Next (1 point) For each of the following vector fields F, decide whether it is...

A: A.Let F = Pi+Qj. By theorem,From given, P = -2x+3y and Q = 3x+12yhere

Q: (1 point) Show that the vector field F-yz Ч + zz 1 J-zuz 2 k is conservative by finding a scalar pot...

A: To find the scalar potential function f, assume

Q: (1 point) Let C be the positively oriented circle z2 + y-1. Use Green's Theorem to evaluate the line...

A: The provided line integral is

Q: 1 point) Let C be the positively oriented square with vertices (0,0), (3,0), (3,3), (0, 3). Use Gree...

A: The provided line integral is

Q: (1 point) Let F--5yi 4zj. Use the tangential vector form of Green's Theorem to compute the circulati...

A: Required integral can be expressed as:

Q: (1 point) Let S be the part of the plane lz + 4, + z F=li+Sj+1k across the surface S. 3 which lies i...

A: Given:The equation of the plane in first quadrant is 1x+4y+z=3 and the vector field is given by

Q: Find the equation of a tangent line to a curve given by f(x) = 3x3 + 2x2 +x+1at x =1.

A: We first find the slope of the tangent for which we need derivative of f(x). Differentiating f(x) w...

Q: Homework 3 Due: Tuesday, November 27th 1. Find the domain of the functions a) fx,y)-32572-25 b) f(x,...

A: 1.a)GivenHere if x=0, f is undefined.So domain of f is belonging to R2 except x≠0

Q: 7. Find the second partial derivatives for f(x,y)-2x2y5y-3x2ya 8. Find the total differential for z ...

A: 7.Given f(x,y) = 2x2y + 5y -3x2y3To find the first order partial derivatives

Q: 7. Find the second partial derivatives for f(x,y)-2x2y5y-3x2ya 8. Find the total differential for z ...

A: Given:

Q: 7. Find the second partial derivatives for f(x,y)-2x2y5y-3x2ya 8. Find the total differential for z ...

A: Here it is asked to find the gradient of function f(x,y) at point (4,1).

Q: 2. Evaluate the limit using the properties of the limit: 2 7xy lim (x,y)-(2,3) x2 + y2 3. Verify the...

A: Given:

Q: 2. Evaluate the limit using the properties of the limit: 2 7xy lim (x,y)-(2,3) x2 + y2 3. Verify the...

A: 2)Evaluating the limit by setting x=2 and y=3 in the expression

Q: 2. Evaluate the limit using the properties of the limit: 2 7xy lim (x,y)-(2,3) x2 + y2 3. Verify the...

A: Solution 5:a) Partial derivatives for;

A: Click to see the answer

Q: Entered Answer Preview Result DNE incorrect he answer above is NOT correct. (1 point) Evaluate the l...

A: Here we have to find the limit of given function when x tends to 9

Q: webwork/ winter201819-mathhnrs241-tiwari / stewart8e_ch02s03/9 stewart8e ch02s03: Problem 9 Previous...

A: Given:The provided limit of the function is

Q: stewart8e ch02s03: Problem 12 Previous Problem Problem List Next Problem (1 point) Find (in terms of...

A: Given:The provided limit of the function is

Q: webwork / winter201819-mathhnrs241-tiwari / stewart8e_ch02s03/ 14 stewart8e ch02s03: Problem 14 Prev...

A: From the definition of derivative of f(x)

Q: Cale3 Final Take Home (18F) NAME Due Tuesday (Dec 18) (Show exact value and Show all your work) 1 . ...

A: Spherical coordinates

Q: Cale3 Final Take Home (18F) NAME Due Tuesday (Dec 18) (Show exact value and Show all your work) 1 . ...

A: Click to see the answer

Q: K webwork / winter201819-mathhnrs241-tiwari / stewart8e_ch02s06 /3 stewart8e ch02s06: Problem 3 Prev...

A: When we put the limit x tends to ∞, if we get ∞/∞ form, use L’Hospital rule.

Q: ork Sets stewart8e ch02s06: Problem 5 art8e s06 blem 5 Previous Problem Problem ListNext Problem tin...

A: Here given a function with x as variable and we need to evaluate its limit when x tends to infinity...

Q: Cam Cou Mult Cour103 Cou Mast Mes: E- Hon. cal tps://webworklatech.edu/webwork2/Winter201819-MathHnr...

A: Given information:a)The provided limit function is

Q: Ho Q Che ps//webwork.latech.edu/webwork2/Winter201819-MathHłnrs241-Tiwari/stewart8e_cho3503/2/ Enter...

A: Given: The provided curve is

Q: t T this Submission Entered Answer Preview 2 cos() +2 cos(z) + 2 tan() (1 + cos(a)) 2cos(x)+2((cos(x...

A: (1)We will find derivative We can use quotient rule

Q: web work / winter201819-mathhnrs241-tiwari / stewart8e_ch03s01/5 stewart8e ch03s01: Problem 5 Pre ro...

A: Click to see the answer

Q: Sketch a rough graph of the outdoor temperature as a function of time during a typical spring day.

A: Explanation:In a typical spring day, the climate become cold in mildnight to morning, which means te...

Q: 2. In class we saw that a circle centered at the origin is symmetric about the z-axis, the y-axis, a...

A: There are two questions given in the shared question file , As you have put the question under the c...

Q: If f(x) = x^3, evaluate the difference quotient f(2+h)-f(2)/h and simplify your answer

A: Click to see the answer

Q: 4 3 10)

A: Click to see the answer

Q: When using Reimann sums, which approximation is the most accurate: left, right, or midpoint?

A: Reimann sums are used to approximate the area under the curve or approximation of finite integrals b...

Q: 1-(x/y)/1-(x^2/^2)

A: Expanding the given ratio:

Q: Need to find local and absolute maxima and minima for the equation: f(x)=(x-2)/(x^2-1) on the interv...

A: Local maxima is a point f(a) on function f, a with in the domian of f, such that f(a) ≥ f(x) for all...

Q: For cach of the following functions, simplify f (x + h) f(x) 5) f(r) = 32,2

A: Click to see the answer

Q: Calculus 2: Area Between Two CurvesFind the area of the region enclosed by the given curves:y = 6cos...

A: Area between two curves f(x) and g(x) [if f(x)>g(x)] when x=a and x=b is

Q: What is domain and range?

A: Let y=f(x) be a function where x is the independent variable and y is the dependent variable.The dom...

Q: Let x = x(y) = ln ((y+1)^1/3) . What is dx/dy?

A: Click to see the answer

Q: Explain the meaning of lim f(x) = 10.

A: If we plot a graph of f(x) versus x then as x approaches the specified limit value(x-lim), f(x) will...

Q: nt Use the compound interest formulas A P1 +_ and A Pe" to solve the problem given. Round answers to...

A: Formula used:

Q: (1/x − 5) + (1/x + 2) = 9/8

A: Given problems is

Q: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is ...

A: Given problem is

Q: The hourly operating cost of a Boeing 747, which seats up to 405 passengers, is $5135. If the airlin...

A: Let there be n passengers in the flight required to break even.Airline charges $100 per hour per pas...

Q: For cach of the following functions, simplify 5) f(x)= *6) f(z)=

A: Click to see the answer

Q: how do you integrate the following? integral 3x dx divided by 3 sqrt 3-7x^2

A: Given problem is

Q: f (x) = 3x^3

A: Given, f(x)=3x3

Q: ion Jan 1 rse Information WebAssign Access +0/1 points | Previous Answers SCalc8 1.6.002. My Notes d...

A: Evaluate a): Given that f(2) = -1, g(2) = 2

Q: 田Show My Work (Optional:@ 8. ÷-/1 points SCalc8 1.6.035 My Notes Ask Your Teache A graphing calculat...

A: Since the range of cosx is [-1 , 1]

Q: how do you solve the square root of x^5y^7 ?

A: Click to see the answer

Q: c) Using the slope from part (b), find an equation of a) Sketch the curve, two of the secant lines, ...

A: Given: y=40t-16t^2

Q: 2.1 EXERCISE 1. A tank holds 1000 gallons of water, which drains from the show the volume V of water...

A: Slope m of a line passing through two points is given as:

Q: Living K Campal Homer td Wr × □ Home, 及COMM 久10 EN B house: 1 a http://webwork.latech.edu/webwork2/...

A: Let us assume that y=x6x

Q: e. g(3) h. g(4) f lim gx d. lim g(x) f(x)= 32. i. lim g(x) 4 33. Explai ments a. The b. Th c. Th y =...

A: Consider the given equation

Q: how would I do this?(9x^5y^-9)(-4x^-9y^-5)

A: Given expression is,

Q: y=-x^+4

A: Given,

Q: y= 3x+6 on graph

A: Substitute different value of x and calculate y, we getAt x =-2, y = 0At x = -1, y = 3At x = 0, y = ...

Q: Solve: 1=e^(t)-30e^(-t)

A: We have

Q: \root(7)(16\root(3)(4))

A: We have

Q: For the following function, simplifyパリ-パリ x-a 6) f(x) = 5x2-4

A: Given problem is

Q: 7 The bookstore sells 9 keychains in a day if the unit price is $2. If the bookstore increases the p...

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: Find any intercepts.y = x2 + 8x − 9

A: Now first to evaluate Y intercept: To find the Y intercept put x=0, we gety = -9So y = -9 is a Y int...

Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: 5. Solve the following differential equation. ayjy

A: We first consider the given differential equation and then by rearranging the terms express it in va...

Q: The vector ai+bj is perpendicular to the line ax+by = c. Use this fact to find an equation of the li...

A: Concept Used: Vector is a phenomenon that has two indepndent properties, magnitute and direction. A ...

Q: find the cubic function for f(5) = 200 andf(−5) = f(0) = f(6) = 0

A: Let the cubic function f(x)=ax^3+bx^2+cx+d

Q: Find an equation of the sphere with center (-2,5,1) and a radius 5. Note that you must move everyth...

A: Conceptn Used:The general equation of sphere is

Q: What is the square root of 7?

A: Concept Used: The square root of a number is a number which is multiplied by the same number, which ...

Q: y=5x^3, y=5x, x>0

A: The provided equation is y=5x^3 and y=5x

Q: f(x) = [ln(3x)] / (1-x)^2find f' (2)function equals (natural log of 3x )over (1 minus x squared). f...

A: We have

Q: from t = 0 to t = 2? 12. What is the average rate of change of f) from t 6 to t 12? 13. Roughly esti...

A: Formula used:

Q: What's the limit

A: We have

Q: What is an asymptote?

A: An asymptote is any line that approaches the given curve but not intersect at any finite distance.

Q: Given the following piecewise function, evaluate lim fon of the limit does not exist, enter DNE ) -2...

A: The given function is a piecewise function and it is required to calculate following limit,

Q: How to find an equation of a plane through a specific point such as (3,0,3)?

A: There can be infinitely many planes passing through one point and hence you can not find an equation...

Q: 2 1. lim f(x)- x-2+ a. b. 2 C. d. 1 e. Does not exist. 2. lin2 f(x)= a. b. 2 C. d. 1 e. Does not exi...

A: According to the graph given in the question, the function is a piecewise function and not a contin...

Q: (1 point) Determ the value of ke for which the system has no solutions k21

A: Now, for the system to have no solutions the rank of A should not be equal to ran...

Q: The question saysEvaluate : 36^4/2

A: Now we have

Q: (1 point) Find a representation of the vector AB-(-5,-14,8) in R3 by giving appropriate values for t...

A: For any two points A and B, we can define a vector from A to B such that:

Q: (1 point) Suppose A (-8,6,-1) and AB (14,3,5). Then B(-22,3,-6) help (points)

A: Since we have

Q: find the area of the region described in the following:the region in the first quadrant bounded by y...

A: The area between two curves f(x) and g(x) on an interval [a, b] is

Q: Find the area of the region described:The region in the first quadrant on the interval [ 0,2] bounde...

A: here, objective is to find the area of the region bounded by y=4x-x^2 and y=4x-4 in the first quadra...

Q: en regions R and R 34-36. Calculus and geometry For the given regions complete the following steps. ...

A: Here the regionsR1 and R2 are formed by the curves y=3-x, y=2x2 and x axis and y axis. Here we need...

Q: 4 cos2 x 20. У 4 4 ·r =

A: Required area is,

Q: Let x=⟨1,1,1⟩ and y=⟨0,3,−2⟩Find a unit vector that is orthogonal to both x and y

A: If w is an unit vector which is orthogonal to x and y, so

Q: An airplane is traveling in the direction 20 degrees west of north at 700 km/hr. Find the component...

A: here, objective is to find the component form of the velocity of the airplane

Q: 2.2 Homework b Password Reset l bartleby Experiment 1: Physical Prop. 中Mail-harvrj@mailbroward e b M...

A: Here, objective is to find the values of C for which thelim x --->C f(x) does not exist

Q: 2.2 Homework b Password Reset l bartleby Experiment 1: Physical Prop. 中Mail-harvrj@mailbroward e b M...

A: The limit of a function exists at x=c when the limit of f(x) when x approaches c- and when x approac...

Q: A water main is to be constructed with a 12.5% grade in the north direction and a 10% grade in the...

A: Now, objective is to find the angle theta required in water main for the turn from the north to ea...

Q: 2+플 0 5 4. lim

A: Given,

Q: For the following limit, find the largest δ that works for ε-001. 362 a)600 b) 1 c) O 50 d) 100

A: objective is to find the value of ? ,works for Ɛ=0.01

Q: lim h (64-)= a) 0 b) 6 c does not exist d) 2 e) 8

A: We have

Q: square root of x times (x - square root of x)

A: here, objective is to simplify the given expression

Q: I am still having troubles trying to effectively solve e^6x(cos7x)dx by integration by parts.

A: Let u = cos7x , dv=e^6xIntegrating by parts:

Q: Given that f(x)2-16x. Evaluate the limit: lim fa) f(1) a) O-14 b) O-12 c) O does not exist d) -15 e)...

A: Evaluating the specified limit by converting it into derivative representation:

Q: Find the domain of fand write your answer in interval notation.f(x)=7√5−10x+6

A: Given function:

Q: Evaluate the indefinite integral by using integration by parts2x cos 3x dx

A: Let u=x, dv=cos3x.Integrating by parts:

Q: Consider the following. ifx=0 3 -2 Use the graph to find the limit below (if it exists). (If an answ...

A: From the graph of the function:

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an ordere...

A: S(x)=4x+6D(x)=83-3xAt the equilibrium point: S(x)=D(x)

Q: Given lim f(z) = 4, lim g(z) = 0, and lim h (z) =-2, evaluate the limit: h(x) lim a) 0 b) does not e...

A: Here, objective is to evaluate the limit,

Q: I am not able to solve the below equation to satisfy my online homework portal, webassign. The equa...

A: Evaluating: (3a^3-6b^2)(3a^3+6b^2)

Q: 8) The bookstore decideds to sell bobbleheads, and each bobblehead costs the bookstore $2 and there ...

A: For breakeven, cost of bobbleheads should be equal to revenue generated by the demand for bobblehead...

Q: F10 F9 F3 Simplify the following expressions as far as possible: 2 1) V16v4

A: To evaluate

Q: We operate a small grocery store. Daily demand for grapefruit is q-97-20p at unit price p. Assume ou...

A: We know that total revenue = number of units produced times selling price per unit R= q*p (here q...

Q: An organization providing cell phone cases with their logo on it can give away 158 cases in a day. I...

A: Let us say the daily cost of all the cases in a day is 'c'. This cost will depend on some varialble...

Q: Mr. Ripoff's gas station can sell 355 gallons of gas per day at $4.00 per gallon and 164 gallons at ...

A: Let q be the gallons of gas sold per day.Daily cost incurred C(q)=1.20q + 500.Next we find the relat...

Q: 3000 dollars is invested in a bank account at an interest rate of 10 percent per year, compounded co...

A: Let t be the number of years after which the two accounts will have the same balance.

Q: A tube of toothpaste is found to have 107 bacteria present one month after it was bought and 486 bac...

A: Here, objective is to find Exponential model for population of bacteria B(t) after t months of purch...

Q: An important piece of construction equipment was worth 940 thousand dollars new. Then 25 years later...

A: Now, we are going to find1.The exponential model for v(t) of the equipment after t years and2.After ...

Q: You operate a gaming Web site where users pay a small fee to log on. When you charge $2 the demand w...

A: So we are given earlier we were charging $2 for every log on and there were 280 log-ons oer month B...

Q: Suppose at price p = 0, demand is q = 100 units and supply is q =-10 units yes, it is negative). Sup...

A: Demand function q(p) is linear and we have two points on the demand curve , (0,100),(10,33).Let the ...

Q: An open rectangular box with volume 6 m3 has a square base.(a) Express the surface area of the box a...

A: Let the side of the square base be x and the height of the box be h.

Q: 10. If f(c) is undefined but the limit as x approaches c is 7, what does that mean? a. x7 is a verti...

A: here, objective is to describe the meaning of the sentence " If f(c) is undefined but the limit as ...

Q: 2.) Use by parts to integrate. Show your steps: J e2* sin(3x) dx (remember to use by parts twice) LI...

A: Click to see the answer

Q: E http://webwork.latech.edu/webwork2/Winter201819-MathHnrs241-Tiwari/stewart8e_ch03s09/4/ 9.8386991...

A: Here, objective is to find thea ) At what rate the distance from second base changing when he is h...

Q: limit x approaches 0, (xcot2x)

A: Limit x-> 0 ( x/tanx ) =1Calculating the limit of the given expression using this result:

Q: limit x approaches zero, sin^2x/x

A: Given,

Q: lim x approaches zero, sin4x/sin3x

A: Given,

Q: Jason leaves Detroit at 8:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor,...

A: here , objective is to finda) distance as a function of timeb) The graph of the distance functionc) ...

Q: 9(7x) − x27x = 0

A: Given,

Q: Identify the critical points and ﬁnd the maximum and minimum of the given function on the given inte...

A: On differentiating the above equation, we get

Q: Find all θ in [−π,2π] that satisfy sin(θ) = 1/2. (Hint: there should be two solutions. Which points ...

A: The required values are sin_inverse(1/2):

Q: Consider f(x) = 1/x on [1,∞). Find all the critical points. Is there a maximum? If yes, ﬁnd it. If n...

A: here, objective is to find the critical points of the function f(x)=1/x on [1,8)

Q: Let the position at time t seconds of a particle moving in a coordinate line be given by s(t) = cos(...

A: Formula used:

Q: Draw a right angled triangle with another angle θ such that sinθ = 5 13. Find tan(θ) from this trian...

A: Assume that triangle ABC is a right angle triangle and angle B is 90 degree.

Q: For the following functions deﬁned on the given interval, sketch its graph. Find the maximum and min...

A: here, objective is for the givan functions on defined interval 1.To sketch the graph2.To find the ma...

Q: What is the limit? I found the limit to equal 0 but not sure if I did it correctly.

A: Evaluating the limit:

Q: Consider the function below.f(x) = 2 - 2x - x2Evaluate the difference quotient for the given functio...

A: Formula used:

Q: Solve the following rational inequality for x^2-5x+4/x-6

A: Consider the inequality

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A: Here, objective is to find the number of units completed by the employee after 8 hours.

Q: determine the area of the shaded region bounded by y=-x^2 +8x and y=x^2-6x

A: Find the x coordinates of endpoints of the area

Q: Let a=⟨1,3,1⟩ and b=⟨2,−1,−4⟩ Show that there are scalars s and t so thatsa+tb=⟨4,−16,−20⟩You might ...

A: Let a= (1,3,1) and b= (2, -1, -4), s and t are scalars, sa +tb = (4, -16, -20)Suppose d is a scalar ...

Q: Find the unit Vector e(subv) where v=(2,2,1)ev=?I appreciate the help in advance

A: Formula used:Unit vector in direction v is

Q: Find the lengths of the three sides of the triangle ABC in R^3 if A=(-2,4,-2), B=(0,0,2) and C=(3,-1...

A: Formula used:Distance between two point A(x1, y1, z1) and B(x2, y2, z2) is

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A: Given points are,

Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate yo...

A: u=(3,-4,-5)v=(2,-1,2)

Q: Let(vector u)=(-2,-3), (vector v=(-3,-5) and vector w=(-2,-3). Find the vector x that satisfies 6u-...

A: u=(-2,-3)v=(-3,-5)w=(-2,-3)Calculating x:

Q: 4x3 +1 8. lim A.0 B.4 C.4 D. 2 E. Does not exist For f 16 which of the following is false: x2+5x+4 a...

A: Hii... You have send two questions, so I will be solving the first one (No. 8). Can you please uploa...

Q: 12. Use the limit definition to answer the following question. Definition: imf x-L means that for an...

A: Let us first find the value of epsilon.

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A: Since you got the value for domain and range, let us derive the equation for the function. This is a...

Q: x〈3 x = 3 x〉3 Evaluate lim f(x), given that f(x)- 8, x--3 2x +3,

A: Given,

Q: In Exercises 63-67, give an є,ó proof for the following limits. 63. lim (5x -1)-9. 64. lim (4x+2)=14...

A: Please submit one academic question at a time. We will help you solve Q No. 63.Let us consider first...

Q: 6 Previous Problem Problem List Next Problem Results for this submission Entered Answer Previevw Res...

A: The rate at which water is being pumped into the tank in cubic centimeters per minute or in other wo...

Q: Suppose ℎ(?)=?2+12?+7. Find the instantaneous rate of change of ℎ(?) with respect to ? at ?=2.The in...

A: Given,

Q: Let ?(x)=2x2+3x+1.Find a value of ? between 1 and 5 such that the average rate of change of ?(x) fro...

A: Formula used:

Q: Suppose that on the interval (2,5) f(x) less than or equal to g (x) less or equal to h (x) and Lim f...

A: We have the following information.

Q: Suppose G(x)=4x^2+x+4 find a number b such that G'(b)=7

A: Let us consider G(x) and find its derivative.

Q: How do I find the bounds in which I integrate a curve that is rotated about an axis?

A: To find the bounds, it is necessary to check whether we have to find the surface area or volume. In ...

Q: Consider the following system of linear equations.4x − y + z = 62y + 6z = 36x + z = 6Solve the syste...

A: We have4x + y + z = 6 ...(1)2y + 6z = 36 ...(2)x + z = 6 ....

Q: Consider the following system of linear equations.Consider the following system of linear equations....

A: Now we havex - 2y + 3z = -2 ...(1)-3x + y + 2z = -17 ...(2)2x + 2y + z = -1 ...

Q: Find the perimeter of a sector of a circle withcentral angle 74π and radius 3 ft.

A: Given,

Q: limit as x approaches infinity, 10x^5+x^4+31/x^6

A: Here an expression is x is given to us and we need to calculate the value of expression when x tends...

Q: limit as x approaches infinity, -2x^3-2x+3/3x^3+3x^2-5x

A: Here an expression in x is given and we need to find its value when x tends to infinity shown below.

Q: Consider the following relation -4x^2-3x+y=2y Determine the implied domain of the function found in ...

A: Domain: The domain of a function is the set of input or argument value, for which the function is re...

Q: 1. Find the points at which f is discontinuous. At each of these points, state the type of discontin...

A: Click to see the answer

Q: find all vertical and horizontal asymptotes algerbraically, f(x)=3x^2-x+5/x^2-4

A: . Find all vertical and horizontal asymptotes algebraically, f(x)=3x^2-x+5/x^2-4For calculating the ...

Q: find all vertical and horizontal asymptotes algebraically, f(x)=2-3x^2/5+2x-6x^2

A: We have

Q: 1. Graph the function 1-x ー3 < x < 2 6 K4

A: The graph of the function f(x)=1-x is shown on the board:Some of the point aref(x)=1-xyx=-3, f(x)=1+...

Q: 12. Use the limit definition to answer the following question. Definition: li m (x) = L means that f...

A: Given definition: A function f(x) limit value is L when x approaches a. If for any number epsilon gr...

Q: Do Homework - Davidson Manygoats-Google Chrome http://www.mathxl.com/Student/PlayerHomework.aspx?ho...

A: Formula used:

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4 f...

A: Assume that the dimension of sheet metal = x feet

Q: In x 12. 1.3. lim ex In l 14. r 15. lim 16. 17, lim x'ー3x2-4x + 12 18. 9. lim x + 2 0. liml-8+1.6x+2

A: Here a function in variable x is given and we need to determine its value when x tends to . This is ...

Q: Do Homework - Davidson Manygoats-Google Chrome http://www.mathxl.com/Student/PlayerHomework.aspx?ho...

A: Given curve is,

Q: Find the vertical, horizontal, and oblique asymptotes of any.T(x)= x^3/ x^4 - 1

A: Asymptote;1) Vertical asymptote: The line x=L is a vertical asymptote of f(x) if the limit of the fu...

Q: Find the limit. (If an answer does not exist, enter DNE.) lim VX+1-3

A: We have

Q: ind the limit of the trigonometric function. (If an answer does not exist, enter DNE.) 6 cos x x-/2 ...

A: We have

Q: Consider the following function. f(x)6x-8x Find the limit. lim f (x + Δ.r)-f(x)

A: We have

Q: Find the limits. fx) = x + 7 g(x) = x2

A: Given f(x) = x+7 and g(x) = x2 ,To find limit of g(f(x)) first find the expression for g(f(x)) and...

Q: Find an equation of the tangent line to the curve at the given point.y=8x-6x^(2), P(4,-8)

A: y=8x-6x^(2), P(4,-8)Let the equation of the tangent: y=mx+cSlope of the tangent =m = dy/dx.

Q: Find(f ^−1)'(a).f(x) = 4x^3 + 4x^2 + 7x + 2, a = 2(f ^−1)'(a) =

A: Here a function f(x) is given and value of a is given we need to find the derivative of inverse of f...

Q: The chirp rate, C, in chirps per minute, of the snowy tree cricket is given by C = f(T) = 4T − 160 w...

A: The given chirp rate is C = f(T) = 4T - 160 where T is degrees Fahrenheit.

Q: The gas mileage of a car (in miles per gallon) is highest when the car is going about 45 miles per h...

A: Here given that gas mileage of car is highest when the speed of the car is 45 miles per hour and the...

Q: A phone company charges $14.99 a month and 10 cents for every minute above 120 minutes. Write an exp...

A: Given that rental charges = $14.99 per month

Q: Phil makes and sells rugs at his roadside stand. His monthly fixed cost for owning the stand is $714...

A: If phil sell 20 rugs and bring in $480 revenue.So selling price of a rug = 480/20 = $24So revenue f...

Q: sketch the graphs and explain why the functions is discontinuous at the given number a:y= 1/x-1 if...

A: Given function isThe graph can be sketched by plotting few points and joining them using free hand c...

Q: 1.1.2.3: Problem 2 Previous Problem Problem List Next Problem (1 point) A tunction is said to have a...

A: Evaluating the required horizontal asymptotes:

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