(b) Suppose q(x) = -p(x – 1) + 7. Describe how p(x) is transformed to create q(x). Verify your description by graphing using Desmos.

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A: Consider the given integral

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A: To find the critical points we solve dy/dx=0

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Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: find the horizontal asymptote(s) for…

A: Simplify the numerator and denominator of the function as follows.

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A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: x*y"-xy'+y = 0 Y, = In x

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Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

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Q: Q4. Evaluate "by partial fraction' x³ + 3x2 + x +9 -dx (x* + 1)(x² + 3)

A: Consider the given fraction px=x3+3x2+x+9x2+1x2+3. The denominator of the fraction has two factors…

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Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

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Q: Use this partial fraction decomposition": 4 - 8x x4- 1 4x- 2 x2 + 1 -1 3. x - 1 x +1 to help you…

A: Substituting the partial fraction decomposition and integrating.

Q: For the function f(x)=x^3−27x, its local maximum is __ which occurs at (___; its local minimum is __…

A: To find the local maximum and local minimum for the function f(x) = x3 – 27x

Q: 2-→Find-the-residues of the-function-at-its-poles F1:(2)-(2-z-+3)/(z²-4)1

A: The given complex function is: F1(z)=2z+3z2-4

Q: (b) Complete the table for y=-x + 8x - 7, including all integral values of x such that 0SxS8. This…

A: Make a table for (x,y) and substitute all integral values in the function and find y. x…

Q: x*y"-xy'+y = 0 c) Y, = In x

A: Let's find.

Q: Let us consider the following rational function: 35x2+14x+9 f(x) = r3 -x2+x–1 Write the partial…

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Q: EXERCISE 4. Evaluate the following using Rationalization Method. Show your solution. Vx² + 7 – 3 lim…

A: Given  The limits are 1.  limx→3x2+7-3x+32.  limx→0x+1-1x

Q: Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: Find the linearization of y = eV3x at x = 64. %3D (Use symbolic notation and fractions where…

A:

Q: 7x + 3y 105 Use the graphing method to maximize f(x, y) = x + 4y subject to 2x + 5y ≤ 59. x + 7y ≤…

A: Given:  Maximize, fx,y=x+4ySubject to the constraints,7x+3y≥1052x+5y≤59x+7y≤70x,y≥0

Q: 1. For what value (s) of x is the function f(x) = 4/2x2 - 6x not continous?

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Q: At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season…

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Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: (4) Suppose the coefficients of the cubic polynomial p(x) = a + bx + cx² + dx³ satisfy the equation…

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Q: Find the streamlines corresponding to: f(z) = z²

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Q: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

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Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: Find y2 using Reduction of Order xy" – 3xy' + 4y = 0 , %3D

A: Given differential equation x2y''−3xy'+4y=0....1 Given a solution y1=x2 We have to find the y2 We…

Q: Find the linearization of y = ev7x at x = 16. (Use symbolic notation and fractions where needed.)

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Q: Sketchthegraphofy=x2−5x+4.

A: We first make a table for y=x2 −5x+4 x 1 2 2.5 3 4 y 0 -2 -2.25 -2 0

Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1

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Q: Match the horizontal asymptote with its corresponding function. 5x+2 f(x) = 3x2 + 1 a. f(x)= 2x2+1…

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Q: 12. Find the general solution using Reduction of Order: a) y" = In x

A: you have asked multiple questions in a single request we would be answering only the first question…

Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

Q: 10 Use partial fraction to evaluate dx (x-1)(x²+9)

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Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

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Q: During an iteration of bisection method for solving f(x) = 0, we got f(2) = -6, f(-1) = 2 and f(-4)…

A: The equation in the form f(x)=0 is called a transcendental equation. Geometrically the solution of…

Q: x2 + 40x – 69 16. Find the partial fraction decomposition of- --- + 9x? + 6x + 54

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Q: 4. Expand f (x) = 1 around a = 0, to get linear, quadratic and - 1-x cubic approximations.

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Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

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Q: 16) what are the vertical asymptote(s) of f(x) = x+5x-6, %3D x² -1

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Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

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Q: Compare the graphs of y = Vx, y = Vx, y = x, y = x², and y = x' on the interval 0 < x s 2. Write a…

A: Differentiate the expression of the slope with respect to x. For any value of x in the interval…

Q: Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.

A:

Q: 2. Sketch the graph of the quadratic --2(*+3) +8 by using a series of transformations. Show all of…

A: Given that: y=-2(x+3)2+8

Q: Find f(4) using forward, backward and central difference of: (3 – 2x)² f (x) : |- x2 Step size = 0.2

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Q: 3. Without referring to its graph, clearily explain why P(x) =4--6x +4 has an output of Vi on the…

A: 3. Given function is Px=4x3-x2-6x+4

Q: The critical point(s) of the function z= 2x²-4xy-2y²+3x-7y+6 is/are...

A: In this question, we need to find the critical points of the function z = 2x2-4xy-2y2+3x-7y+6.