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# Test2 - Math 306 Test 2 Chapters 2 3 Printed Name H...

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Math 306 – Test 2 – Chapters 2 & 3 Printed Name: • H indicates a “By Hand” problem where technology is not allowed. One exception is the Apart command which may be used at any time. T indicates a “Technology” problem where you :::: may use Mathematica or a calculator. You must still show the steps taken. For example, Z 5 1 (1 - x ) 7 dx = - 8 , 192 is valid. Giving the answer - 8 , 192 without the integral is not. Please put your name on computer work as well as the problem number! Do not use DSolve or NDSolve unless otherwise directed (except for checking your work). Grade of 100 H 1 10 pts A tumor may be regarded as a population of multiplying cells. It is found empirically that the “birth rate” of the cells in a tumor decreases exponentially with time, so that β ( t ) = β 0 e - αt where α and β 0 are positive constants, and hence dP dt = β 0 e - αt P, P (0) = P 0 . Find the maximum tumor size. 2 Suppose that at time t = 0, 5 thousand people in a city have heard a certain rumor. Assume that time is in weeks, P ( t

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Test2 - Math 306 Test 2 Chapters 2 3 Printed Name H...

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