Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = x2 − 9x + 3

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A: volume = 2π∫09r(x)h(x) where r = radius ,h =height

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A: The solution is given below

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Q: Find dx if y=e²x⁹ 1) dy=9e² dx 2) dy dx 3) dy=2x²e²r³-1 dx 12,9 4) dy=18x³ In (2⁹ dx 5) dy=18x³²x⁹…

A: Topic- Derivative of a function We are giveny=e2x9and we know thatddxef(x)=ef(x)f'(x)ddxx9=9x8

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

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Q: 49 For f(x) = x − ², x < 0, find (ƒ−¹)'( ), find (ƒ-¹)' ( -5 ) 49 (F-¹) (-42) - (ƒ−¹) 5 help…

A: Topic:- application of derivatives

Q: Obtain the Laplace transform of the function: 27-57 488 sinh (3)=0 : 701,f'(0)=0,f"70] ft88 ;

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A: proof is given below

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Q: Determine all values of the constant real number k so that the function f(x) is continuous at x =…

A: Topic:- application of calculus and limit and continuity

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Q: can you check if my procedure and answer is right?

A: I am answering this question.