3. Show your complete SOLUTION AND FINAL ANSWER on the given functions. 1.f x³ dx

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A: SOLUTION-

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A: The objective of the question is determine maximum distance.

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A: To determine the volume of the region between y=x2 and x=y2; revolved about x=1.

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A: We know, coshx= [ex+e-x]/2 and emx=1+mx+m2x22!+m3x33!+... for any real number m

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A: In this question we have to find the differentiation.

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A: Here is the solution:

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A: Let's solve given diffrential equation.

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A: To find out the sum a+b.

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A: Topic = Functions

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A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: solution:-f(x)=x2-4x-5x+2,    -1, 5f(x) is continuous in  -1, 5f'(x)=x+2ddxx2-4x-5-x2-4x-5ddxx+2x+22…

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A: topic- limits and derivatives of a function

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Q: Q5: Find the domain and range for the following functions for the function below, the domain and the…

A: Let's find domain and range of function.

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A: This question can be solved using the concept of derivatives.

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A: See the details solution in below

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A: We will solve the problem.

Q: 40 for the function below, the domain and the range is respectively y=√16-x²

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Q: Q) Using the properties of logarithms, find the derivative of the following function (x² - 1) √x + 1…

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Q: B- The derivative is y = ln (sec (In 0))

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: 4 dx 1 x+4√x ex dr

A: