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1 151 WebCalc Fall 2002-copyright Joe Kahlig Quiz #17 MATH 151 Section Name: November 5, 2002 Show all your work. This is due at the start of class on Thursday. 1. The air in a factory is being filtered so that the quantity of pollutant, P (measured in mg/liter), is decreasing at a rate that is proportional to the amount left. This means it is decreasing exponentially. If 10% is removed in the first 5 hours, find a formula that gives the percentage of the pollution that is remaining as a function of time. 2. Simplify the following. Give exact values. Do not give decimal approximations. (a) cos(arcsin(x + 2)) = (b) tan−1 (tan 5π 3 )= 3. Find the derivatives of the following functions. 4 (a) y = sin−1 (3x) (b) y = xsec −1 (x) (c) y = arctan(sin(4x))