MTH 161 Midterm: MTH 161 University of Rochester Midterm2Spring2016
31 Jan 2019
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With my signature, i a rm that i will not give or receive any unauthorized help on this exam, and that all work will be my own. 100: (24 points) compute the derivative of each of the following functions of x. (a) f (x) = 5x3 ln(x) (b) g(x) = cos(9x4) (c) y = sin(x) x2ex (d) f (x) = x5 + 5x + x. 5 x (e) g(x) = xtan(x2) (f) y = arcsin(ex: (20 points) you are standing on the ground and watching a plane y overhead. The plane is 800 m above the ground, and it ies in a straight line from west to east at a constant speed of 100 m/sec. At some time, the plane passes directly over your head. How many rabbits are there after t months for an arbitrary t > 0? (b) consider the function f (x) = x2/3. Use linear approximation near x = 8 to approximate the value of (8. 3)2/3.
