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Math 1310-001 Camacho Spring 2013 March 8, 2013 Quiz#9 Directions: Show your work in answering the following questions. Write your final answers in the spaces provided. 1. Suppose an ice cube is melting in such a way that its volume, V(t), decreases at a rate of 3 cubic millimeters per second. At what rate is each side length, s(t), of the cube decreasing at the instant each side length is 10 millimeters. Assume that the ice cube maintains the shape of a perfect cube as it melts. s’(t) = -o)y Cf -‘ct V( sL) V ‘(i) 3 S’(i) Yh 3 -L() 2. Find all critical points of f(x) critical point by a comma. Critical Points ç’()= = = 2x L&().:: 2x 2 + 2x + 1 on the interval [—5,5]. Separate each x JiL