MATH 41 Midterm: Stanford MATH 41 exam2pracB

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Find the absolute maximum and minimum values of the function h(x) = x3. 9x + 19 on the interval [1, 4]. Show all reasoning: consider the function g(x) = x . 3 25 x2. (a) find all critical numbers of g. (b) for each critical number c, determine whether the point (c, g(c)) on the graph of g is a local maximum, local minimum, or neither. Explain your reasoning: consider the function f , whose formula and derivatives are given below: f (x) = x. Be sure to label your axes as appropriate: evaluate the following limits. 1 x xe x ln(e2t (a) lim x 0+ (b) lim x (c) lim t . Et) t + 1: a design for an advertisement consists of a rectangular printed region, plus one-inch margins on the left and right sides and 1. 5-inch margins at top and bottom.

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