use the disk method to find the volume of the solid of revolution generated by revolving the region bounded by the graphs of the given equations about the indicated axis  y=e^-x, the x axis, x=0, x=2; about the

Q: Q Find Haclaurin Sertedf then fuucboors Ć Sinx

A: Here we have to find the Maclaurin series of the given function,  a) f(x)=11-xb) f(x)=exsinx  

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A: To find out the extremum of the function. 

Q: Obtain a family of solutions for the following First-Order Differential Equations. 2(2x2 + 2y2 )dx –...

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Q: 3. You may use your graphing calculator for this problem. Make sure to explain your answers, includi...

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Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 2940 yd of fencing to enclose a rec...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and the find the nth Maclaurin polyno...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Sz? - 5x + 1, -T 5 Evaluate the following limits for h(r) = and Justify your answer. (1) lim h(r)= ...

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Q: II. Solve the following problems. 1. Find the equation of the ellipse with foci at (-2,0) and (2,3) ...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: Question 3 Given the function g, differentiable on R, with g(1) = 9 and g'(1) = -- |3D What is h'(1)...

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: Calculate the rectangular approximations R1, R2, and R4 for f(x)=2x−1 over the interval [1,5].

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Q: For each sign chart for f'. Carefully sketch the graph of both functions f and f'. Upload your work ...

A: Given: The sign chart for f' is   

Q: Evaluate the integral. dx 9, NOTE: Enter the exact answer.

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Q: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places. Answer...

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Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D %3D

A: Given area is bounded by x=2y and x2=4ay.  To find: Moment with respect to x=2a.   From x=2y We get ...

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 6j + 9k and the vector component of v ort...

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Q: 2.- a) find eigenvalue/eigenvalues and the corresponding eigenvector/eigenvectors of A. A = -1 b) co...

A: Since there are multiple questions the first question is answered as per our guidelines.Kindly repos...

Q: Which of the following is the general solution to the differential equation dx - (x – Jx² + y²)dy = ...

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Q: The ingeral of 2 tan3(x) sec(x) dx

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Q: V4-x2 3. Trigonometric Substitution f x4

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Q: Find the length of the curve: a = t°, y = *; 0<t< v120 3t Find the length of the curve: x = t°, y = ...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: Find the derivative of h(x) = cos (2x3 - 5). %3D Provide your answer below: W(x)= O %3D

A: We will find the derivative of h(x) in the following step.

Q: For the demand function q =D(x) = 100 find the following a) The elasticity b) The elasticity at x 7,...

A: Given

Q: er the integral is improper. sin(x) 61 + x2 xp O proper O improper Explain your reasoning. (Select a...

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Q: Find the moment with respect to x 2a the area bounded by x y and x2 = 2ay.

A: Given area is bounded by x=y and x2=2ay.  To find: Moment with respect to x=2a.   From x=y We get th...

Q: Use the given graph of the function f. y (2, 10) 10 (-2, 6) (-5, 0) (5,0) -10 (0, 0) 10 X (-8, -4) -...

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Q: dy Use logarithmic differentiation to find given that dx c-'(yT) y = 4sech(5z) (log6 x)=`

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Q: If f(x) = 5 cot 'z + 10, then find the value of f'(-8) is, -8 65 65 -10 V65 65 O o

A: Given the function

Q: 2.xy +3 y x +2xy dy 6. dx

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Q: 6. f(x) = Vx – 1

A: This question is based on solving 0/0 indeterminate form using L Hospital rule.

Q: y=x and y = x3.

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Q: 2. A farmer has 120 yards of fencing to form two identical rectangular pens and a third pen that is ...

A: First find perimeter then solve for area

Q: A particle travels along a horizontal line according to the function s(t) = -3t° +t² + 3t – 2 where ...

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Q: Select the basic integration formula you |(15cos(7x))esin(7) dx e du u du cos(u) du sin(u) du Identi...

A: here we use substitute method so  u = sin7x du/dx = 7cos7x dx = du/7cos7x so put this value in equat...

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Q: ds At time t, the velocity of a moving body is given by at where "a" is a dt constant and s is the b...

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Q: Find the vector component of v = (4, —1, 7) along b = (4, 4, —7) and the vector component of v ortho...

A: Given,           The two vectors are v=4,-1,7 and b=4, 4,-7.To find : 1 The vector component of v al...

Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

A: Given query is to find the series of the expression.

Q: List the values of x at which f has a local minimum. Select the correct choice below and fill in any...

A: Lowest points of all ,after that function start increasing is called local minima.

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo_and then find the nth Taylo...

A: Taylor polynomial of f(x) of degree n about x=a is given by, pn(x)=∑k=0∞fk(a)k!(x-a)k

Q: Find the derivative of f(x) = log, (-6x- 6x+ 5) at the point x = 2. %3D Provide your answer below: f...

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Q: Sz2 - 7z + 1, z<7 8-z, z 7 Evaluate the following limits for h(z) = and Justify your answer. (1) lim...

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Q: Let y be defined implicitly by the equation 2x° + 5y- 4x – 7y = -2. dy at the point (1,0). dx Use im...

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: Given problem:- Evaluate the integral using the indicated trigonometric substitution. (Use C for the...

Q: What is the general solution to the differential equation y[1 – xy tan(xy)]dx – x[1+ xy tan(xy)]dy =...

A: Put yx=v and solve it. 

Q: A particle travels along a horizontal line according to the function s(t) = -3t° + t + 3t – 2 where ...

A: By differentiating the s(t) we get the velocity function