MATH 0120 Midterm: Math 0120 Exam 2 (0120) spring 2013-299
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Show all your work (no work = no credit). Simplify your answers: (a) [10 points] find f (2) if f (x) = e. (b) [10 points] find f (1) if f (x) = ex ln(x2). 1: [15 points] for the function f (x) = x3. 9x2 + 24x make the sign diagram that contains both the rst and second derivatives and sketch its graph. [15 points] maximum sustainable yield: marine ecologists estimate the reproduction curve for sword sh in the georges bank shing grounds to be f (p) = 0. 01p2 + 5p, where p and f (p) are in hundreds. Find the population that gives maximum sustainable yield and the size of the yield. Write the result as a numeric formula and simplify it. [15 points] a spherical snowball is melting such that the radius shrinks at a constant rate of 2 cm per minute. [the volume of a sphere is v = 4.
