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A: Given:

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A: Given Information :X~N(μ,σ2)μ=55.7σ=11.5

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A: To find the intervals of increasing and decreasing

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A: Solve using application of second derivative test

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A: First we draw the graph then find equations.

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Q: Question attached in PICTURE

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A: Given :           fx=0.25x4-x3+x2

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A: Topic:- calculus

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A: Solution is here

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A: Here is the solution of the given problem.

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Q: . What does it mean to say that f142 is a local maximum valueof f

A: Given :            f(4) is a local maximum value of f.

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A: y=3x23-2x  , [-1,1]

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A: To find The absolute extrema of the given function

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A: There are many ways to draw the graph with given conditions. One such a graph is as shown below.

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A: False

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A: Graphical problem

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A: Given: fx=2x3-3x2-36x+12 on -∞,∞ To evaluate the critical points find x where f'x=0.…