Calculus 1 Hour Exam 2 (continued) - Math 221 Fall, 2010

4.	Sketch the graph of y = f(x) .
5.	Write down the function that is the linearization of f(x) = cos (x) at the point ( π/6, √(3/2) ). There should be no trigonometric functions in your answer. Answer: L(x) = √(3/2) - (1/2) ( x - π/6 ) Use differentials to estimate the change in the volume of a sphere when its radius is Changed from 3 inches to 2.94 inches. You need not simplify your answer. Answer: dV = 4π (3^2) ( - 0.06 )

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