find the derivate of y=x^3(5^-x)

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A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

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A: Question- Write an equation for a rational function with:   Vertical asymptotes at x = 1 and x = 3  ...

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A: ∑n=1∞ 4n2+4n+34 ∑n=1∞ 1n2+4n+3 an =1n2+4n+3Applying series comparison test;1n2+4n+3<1n2checking c...

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A: Put y =5secthetha and solve it. 

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A: To solve the problem we use integration by parts formula. From integration by parts we get: ∫uv dx =...

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A: Find your answer below 

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A:   From the given figure, the vertical asymptotes are x=-3 and x=5, the horizontal asymptote is y=2 a...

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Q: Q 1) Find an antiderivative for each function. 4+ /i a)

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A: Given problem:-

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Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

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A: Given problem:-

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Q: +00 e-*dx

A: Topic = Integration

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A: We know that,  Int(x^n)=x^n+1/n+1+c And, Int(1/x)=log|x|+c

Q: he given series converges or diverges. use the following as proof: rison Test, Integral Test, Series...

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A: Both the questions are based on partial fraction.

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Q: 5. y = xArctanx - In VI+x

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Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: CHAIN RULE DERIVATIVES Date Directions: Differentiate the given functions. 2.) G(X) - T52"

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A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

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Q: (c) lim * +1)' sin x X-0 2x lim sinx 5 (d) 20 +sin 0 (e) lim - 8-0 40

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: 2. Evaluate lim x-4x+1 X-1 x-1

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

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A: NOTE: Refresh your page if you can't see any equations. .

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per mon...

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Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

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Q: F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extrema if any...

A: Question- F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extr...

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Q: X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x)) =x...

A: The given function is: fx=x2+1gx=x-10 To find the value of fgx and gfx

Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

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Q: Whose ares is given by the double Integral. 1 2 5 6 7 1 2 3 4 5 6 7 8 Change the order of Integratio...

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