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Math 16a worksheet 8 a cup is to be designed in the shape

MATH 16A WORKSHEET 8-

(1) Find all absolute maxima and absolute minima of f(x) = x³ - 12x on [-5, 3].

(2) Find all absolute maxima and absolute minima of f(x) = 1/x²+1 on (-∞, ∞).

(3) A cup is to be designed in the shape of a hollow cylinder with one of the circular discs removed. What is the minimum and maximum surface area that the cup could have, assuming that we want it to be able to hold π cm³ of water?

(4) What is the point on the curve y = x² that is closest to the point (1, 0)?

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Mathematics: Math 16a worksheet 8 a cup is to be designed in the shape

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