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IViath 1100 Quiz 9 20 November, 2013 Name: 1. (10 points) Suppose the growth rate of a colony of bacteria is given by dy where y is the number of bacteria after t hours. If there are 100 bacteria initially, how long will it (You may assume that 16, 275, 479 = lOOe’ .) 2 take until there are ico (Yvj fy1 4Lk Po () iiI: (O1ø) 100: (vo A 7 1CL) ) elt 16,275,479 bacteria? 2. (10 points) Consider the following graph representing the function y (Grid lines are one unit apart.) = 2 3 +x x — 2x. / (a) Write an indefinite integral representing the shaded area. (‘-I )(—?x d (b) Find the area of the shaded region. YXZ 7jX 43 x z 1 - (-)] - - ‘1 12 19 12 [ (-t) rHl 32 (2)2]