Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) f(x) = e³x (8 - x) intercepts relative minimum relative maximum point of inflection (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = (smaller x-value) (larger x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)

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A: solution is given below..

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Q: Below is the function f(x)., 17+ 6 5 4 3 2 7 -7 -6 -5 -4 -3/-2 -7 -7 -2 -3 -4 -6 71 1 2 3 4 5 6 7…

A: Please see the below picture for detailed solution.

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A: Please see the below picture for detailed solution.

Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

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Q: Determine the general solution of each of the following equations: (a) y" + 2y' + 5y = 3sin2x

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A: Given.

Q: Find the Domain and Range of the function (Have your answers in interval notation)

A: Question: Find the Domain and Range of the function (Have your answers in interval notation)

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