ii) Find the exact area of the surface obtained by rotating the curve 1 12x 3 y = x³ + 9 1 ≤ x ≤ 2,

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A: Given :∫-23x2dx    ,n=5

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A: We can find the remainder as below.

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A: To find the derivative of the following functions

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Q: The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x about y = 4…

A: For finding limit of integration we should find intersection points of given curves.

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Q: 2. J- dx 25x9

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-6 3x-7 f(x) =…

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Q: Find the critical numbers of the function :

A: For finding the critical number, find the derivative of function and set to zero.

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A:

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Q: 1. dx *² +4x+5 Sz

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A: Explanation of the answer is as follows

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Q: Find the absolute minimum and absolute maximum values off on the given interval. f(t)=t√ 25-t²,…

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Q: Consider the following. f(x)= -(-3x, X ≤ 6 X > 6 x² - 4x + 9, Find the x-value at which f is not…

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Q: Evaluate ³*-2 dx 3x-2 e³x-2 + C O (3x-2) e³x-2 +C Ⓒ (3x-2) Ce³x-2 3x-2 3 + C

A:

Q: O a. La función no tiene punto de inflexión. b.x = 1 & X = - 1 O.c.x = 1 d.x = - 1

A: We can find the inflection point as below.

Q: ∞<a=(a'l Find the local max & min using First and second Derivative 3 f(x) = 9+3x2 - 2x² 7 sou?

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Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

A: