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A) Find all critical points of f(x)=4x (2-x)^3.
B) Find the absolute maximum and absolute minimum of f(x)=sqrt(9-x^2) on -2 ≤ x ≤ 1. Show work.
C) Find the values of c that satisfy the conclusion of the Mean Value Theorem for
f(x)=3x^2-4x+2 on [0,3]
D) Find the intervals on which f is increasing and decreasing and the local maximum and minimums for f(x)=x^4-8x^2+1 show work.
E) A 10 foot ladder is leaning against a house when its base starts to slide away. By the time the base is 8 feet from the house, the base is moving away at a rate of 12 ft/sec. At what rate is the angle between the ladder and the ground changing then.
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