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## Related Calculus Q&A

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Q: Suppose that the cost funtion for a commodity is C(x)= 300+6x+1/20x^2 dollars (a) Find the marginal...

A: The given Cost function for a commodity is C(x) = 300 + 6x + (1/20)x2.(a) To find the marginal cost ...

Q: Please help me about this.

A: The radius of convergence is 4 which can be computed as follows.

Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...

A: The equation of the plane is

Q: How do I solve this differential equation using P(x), Q(x) and v(x)?

A: The given differential equation is,

Q: could you help me with this problem please

A: Given,

Q: How can I get the result? Which is the result?

A: Refer to the critical numbers of the function h(x) = sin2x+cosx, where 0<x<2piThe critical poi...

Q: If l0g x=0.35 and fog6N0.5, evaluate the fo llowig expression.

A: Here, we use the above log rules.

Q: 7n 5-4n For the following answer blanks, decide whether the given sequence or series is convergent o...

A: (a)we are given a series as

Q: How do you set up the line integral for y=x(6-x) boundary?

A: The vector field is given by,

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Q: 1. Indefinite and definite integrals including trigonometric functions and ones that will require th...

A: a. Integrate the given indefinite integral with respect to x as follows.

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Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent wil...

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Q: Find the values of the convergent series [from k=4 to infinity] E (2/3)3n-1 (-4/7)2n+3 *that E just ...

A: Given information:The given convergent series is

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Q: +2 2 1

A: Consider the integral,

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Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is

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Q: For the year data given in the chart find a power function that is used to model the Lorenz function...

A: A power function is of the form,y = axbWe can take log to the natural base “e” on the both the sides...

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Q: How can I get the result?

A: We used a calculator to find the values for the table. And rounded each value to 4 decimal places. ...

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Q: How can I get the result? Which is the result?

A: (a)Complete the table below analytically:

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Q: Determine the location and value of extreme values of f on the given interval, if they exist. Type...

A: Given information:The given function is

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Q: Please help!

A: Recall the quotient rule for derivative:

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Q: find the critical numbers of the function g(theta) = 4(theta)-tan(theta). My question is from the sc...

A: Refer to the question as per screenshot provided, I have to answer the how the last step came.That i...

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Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

A: The function is given by,

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given curve:and region bound are:We need to find the volume of solid obtained by the given curve for...

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Q: I need help for this.

A: (a) Use the ratio test and compute the interval of convergence as follows.

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Q: skecth the graph a) f(x)=(x-2)2(x+3) b)f(x) = x2-1/x c)f(x) = 2x/x2-1 d)f(x) = -23 + 7x2 - 2x...

A: To sketch the graph of given function :

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Q: Use Newton's method to approximate all intersection points of the following pair of curves. Round to...

A: Before we get into the solution of the question, let's understand a bit about Newton's method. If xn...

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Q: If y' 6x - 3 and y(2) 6 4, then y 3x2- 3x 3x2-3x-2 3x2-3x2 6x2-3x2

A: Given:

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Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x.

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Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

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Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: We have been given a power series and we are required to find its radius of convergence as well as i...

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Q: Usel'Hôpital'sRule to find the following limit.

A: To use L'Hopital's rule we try to get 0/0 form or infinity/infinity form first. We write x^2*cotx as...

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Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

A: Click to see the answer

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Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The ...

A: Click to see the answer

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Q: Which of the following is the power series representation for f(x)? A. Σ ( -1): Ο Β. Σ 11k k 0 k 0 Ο...

A: In the given question we have to find the interval of convergence of power series representation for...

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Q: This is #1

A: Part (a)Consider an object moving along a line with the velocity and initial position.

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Q: 3x4 y‴+9x4 =5xy′+5x5 y″+9lnx Determine the order of the differential equation shown above.

A: The given differential equation is,

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Q: The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable (a tel...

A: Given information:Tyhe given function is cosh(x).

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Q: How can I get the result? Which is the result?

A: We have to find value of cosy.Question is given below:

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Q: The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers. Make a complete ...

A: The equation abs(y/a)^n + abs(x/a)^n = 1,

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Q: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

A: The given equation is y=22+x.

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Q: Calculate the area, in square units, bounded above by f(x)=−2x2 −x−21 and below by g(x)=−x2 −12x+9.

A: Click to see the answer

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Q: Suppose that the revenue function for a certain product is given by R(x)= 15(2x+1)^-1 + 30x-15 wher...

A: We have to find (a) The marginal revenue when 2000 units are sold.(b) How is revenue changing when 2...

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: We first draw a rough sketch of y=3/sqrt(x), y=0, x=5 and x=25. And shade the area between them.

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Q: Product Radius (inches) Height (inches) Volume (cubic inches) Baking power 1.25 3.65 ...

A: Assuming all the items are in cylindrical shape. Look for the coffee can: The volume V is 62.12 in3;...

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Q: How can I get the result? Which is the result?

A: we are given a graph and locate direction

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Q: If fx)x3x+1 then fx) (In x]3x (3x+1}x3x (2x+ In xr3x+ 1 3x13r 3 Inx 3x+13 In x

A: Note:Hi there! Thank you for posting the question. The first line in the image is not very clear. Ho...

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Q: Find the derivative of y with respect to x

A: we are given an inverse function

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Q: y′=−2ex −9x2 +x+4 y(0)=6 Solve the initial value problem above. Do not include "y=" in your answer.

A: Solve the Initial Value Problem(IVP) for first degree differential equation is given.

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Q: Please help me solve this differential equation.

A: Let, z=x-y

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Q: How can I get the result? Which is the result?

A: The given function is,

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Q: find the derivative of f(x)= 2x^3 + 4e^3

A: Given information:The given function is