Use Ayf '(x)Ax to find a decimal approximation of the radical expression. √√5 What is the value found using Ayf '(x)Ax? √5 (Round to three decimal places as needed.)

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A: This question is based on indefinite integral.

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A: Solution of the problem as follows

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A: Solution of given question is written in below steps.

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A: answer is in next step

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Q: ★ Each series converges. Show why, and compute the sum. k Σ[-88-(-3)*] k=2

A: p

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A: This is a problem related to area calculation of the polar curve. Based on the general formula and…

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A: Yes, its correct.

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Q: 2. 8 2 + (-1) 5+

A: Here we have ∑k=1∞2+(-1)k5k

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A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: 2 Let f(x) = 5x4 -/+8√x-3. a) Find f'(x). (b) Find an equation for the tangent line to the graph of…

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A: We have to find the formula and time.

Q: S dx (1+x) √x

A: Given,I=∫11+xxdxSubstitute  u=x(u2=x)Differentiate du=12xdx2du=1xdxThereforeI=∫21+u2du

Q: SUBJECT: DIFFERENTIAL CALCULUS NOTE: Make the solution detailed and clear in a sheet of paper.…

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Q: Solution 1 y = (x +3)(2x – 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x - 15 y = 2(2x)2−1+1-0 y' = 4x+1…

A: Please see the below picture for detailed solution.

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A: The limit definition of derivative is: For a function f(x), the  derivative of f(x) is defined as:…

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A: The given function is: y=9x+8   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Rule:…

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A: topic- derivative of a function

Q: Find the length of the curves in Exercises 1-4. x = (y³/2/3) - y¹/2 from y = 1 to y = 9

A: Solution of given question is written in below steps.

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 2x³ - 8x

A: To express the integrand as a sum of partial fractions and to evaluate the integrals.∫x+92x3-8x dx

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A: Given :∫012aya2-y232dy

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A: topic - application of derivatives

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A: evaluate the following integral... ∫ex dx

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