Find two functions f and g such that (fo g)(x) = h(x). (There are many correct answers. Use non-identity functions for f(x) and g(x).) h(x) = V5 – x (f(x), g(x)) =

Q: Calculate the derivative indicated. d'y where dx? Ix=8 y = 6- x3 + 5x?

A: We need to calculate the second derivative of : y=6x3+5x2      at x=8

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Q: Find the Taylor polynomials of orders n = 0, 1, 2,3, and 4 about x = x0 and then find the nth Taylor...

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Q: One of the following is an improper integral. \. xV16 – In x ~In 3 dx dx In 2 V4 – ex xV16 – In x -I...

A: We have to find the value of improper integral.

Q: Find h'(2), given that f(2) = -5, g(2) = 4, f'(2) = -2, and g'(2) = 3. %3D f(z) Express your answer ...

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Q: 72. Existence of integrals For what values of p does the integral dA exist in the following cases? a...

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Q: Consider sequences On+(-1)". Which of the above sequences are monotonic: O A. (), ) and (). O B. ) o...

A: We have to find which sequence is monotonic.

Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1 Pa(x) =

A: this is the polinomial expansion question in this we use maclaurian transform formula and answer is ...

Q: 2 cot- (esc") if -3 3. a. Determine if f is continuous or discontinuous at x = 0 and at x = 3. If di...

A: For the solution of the problem follow the next steps.

Q: IV. Constructing. Construct the table of values, graph the function and find the indicated limits ea...

A: 1. limx→+∞3x2. limx→-∞4x

Q: Is the series divergent or convergent? With solution and explanation. +oo El-1)» (2n)! 2n n=1

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Q: 4. f(x) = (Vx)(x² – 2x) %3D -

A: 4. f(x)=xx2-2x Solution f(x)=xx2-2x      =x12x2-2x      =x2+12-2x1+12      =x52-2x32 Derivative of t...

Q: EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x + 3y2 and ...

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Q: Evaluate the integral 4x-12x²+7 xdx A(2x2-3)/4x – 12x² +7 – 2ln/2x² -3+/4x – 12x² +7|}+o (2x2-3W4X-1...

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Q: ах + b Differentiate f(x) = where a, b, c, and d are constants and %3D сх + d' ad - bc 0. | f'(x) = ...

A: Given: f(x)=ax+bcx+d, where a,b,c, d are constant and ad-bc≠0

Q: (a) The eigenfunctions of the following eigenvalue problem: X" + XX = 0, X'(0) = X'(#) = 0 %3D are g...

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Q: 1. One of the following is an improper integral CA In 3 cIn 2 dx xp 4 – ex 2x + 1 JIn 0.5 ' In 2 dx ...

A: I am attaching image so that you understand each and every step.

Q: Calculate the present value of a loan that could be cleared by payments of $3,300 at the end of ever...

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Q: 11. Determine fuu for the following situation. f = f (x, y) x = u² + 3v, y= uv 33

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Q: Find the solution of the following initial value problem: an = 14a,-1 – 49a, 2; ao = 0, a1 = 6 %3D a...

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Q: Find the radius of convergence of the power series. (If you need to use co or -0o, enter INFINITY or...

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Q: Instructions: Use Rules of Differentiation to differentiate the following functions. Show your solut...

A: derivative

Q: 2 f(x)dx Given: There is a function F(x) such that when u= -x³, the 2 du resulting integral is Evalu...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x %3D f(x) = 1 + ...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Graph the line x=-1. 8- 12

A: We will graph the function. 

Q: dx du 3. The integral reduces to k=, where u = f(x) and for some +1 constant k . Compute f(1). (a) (...

A: Given :∫dxex+1

Q: How to do area & circumference

A: Given query is to describe how to find area and circumference.

Q: Eighty loaves of bread are to be divided among 4 people so that the amounts they receive form an ari...

A: Solution of given question is written in step 2

Q: Let P(x) = F(x)G(x) and Q(x) = F(x) where F and G are the functions whose grap G(x) y F 2 -1 4 8. Fi...

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Q: For each of the following problems, Set up the integrals representing the volume of the solid genera...

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Q: 5. у %3D 88 8x + 888 6. у %3D 2021 7х'6 7. у %3D 5x3 е 4x -5 8. у %3D 20 е -4x x2 - 10

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Q: x + 3 b. a. 1 = x + 1 c. Vx + 16 =x + 4 %3D с.

A: Given: -The statement is, for the counterexample, (a). xx=1 (b). x+33=x+1 (c). x2+16=x+4 To verify: ...

Q: Mathinik Challenge 1 Guess Me! Identify the following expression as rational or not. Write your answ...

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Q: Find the nth Maclaurin polynomial for the function. 5x - 1 f(x) = n = 4 %3D x + 1 19 Pa(X) = %3D Nee...

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Q: What is its interval of convergence? (-1)7+12nx" Σ n2 +3 n=1

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Q: Find the first derivative of the given functions. A. Trigonometric Functions 1. y= sec? 0 – tan² ® 1...

A: As per our guideline we are supposed to be answer only A(questionp 1y& 2)part you can respost qu...

Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one roo...

Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

A: (b) the line y = -3 Draw a line segment across the region parallel to the axis of revolution (the li...

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x %3D f(x) = 1 +x...

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Q: 1+ In x 6. Find f(x) so that when u = f(x) the integral J tan(f(x)) dx can be rewritten as | cot u d...

A: This can be evaluated as follows:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We need to find the Taylor series of f(x) centered at c : f(x)=e8x     and    c=0

Q: The figure to the right shows the number of full-time employees of a company (in millions) as a func...

A: here y axis = number of employee in million x axis = revenue in company and rate of change of employ...

Q: Find the solution of the following equations: 1. у' —х-4ху 2. (2xy + x² + x+) dx – (1 + x²) dy = 0 3...

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Q: Evaluate the integral cot 2x dx cot2 2x - 15 -금사 csc 2x +C A Arcsec 4 B -In/cot 2x + cot? 2x – 15|+C...

A: Here, the given integral is: I=∫cot 2xcot22x-15dx

Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: 7. dx For the integral which of the following options is correct? A. lim (x – 1)½ |", + lim (x – 1)½...

A: ere, the given integral is: ∫-12dx(x-1)23 which is an improper integral of type 2 because the integr...

Q: 7. Determine f (x) so that cos(In'x) f(x) dx = sin(In'x) + C %3D (a) 2 In x 2 In x (b) (d)

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Q: One of the following is an improper integral. - In 3 e* dx 4 – ex dx In 2 xV16 – In x dx cln 2 dx x ...

A: In this question we have to find the value of Improper Integral. Note: As per our policy we are supp...

Q: An airline finds that if it prices a cross-country ticket at $500, it will sell 300 tickets per day....

A: Question- An airline finds that if it prices a cross-country ticket at $500, it will sell 300 ticket...