MATH 221 Midterm: MATH 221 KSU Test 1s00
15 Feb 2019
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Calculus ii exam 1 spring 2000. 1. (20pts) di erentiate the following functions: f (x) = x ln x, y = (ln x)x, g(t) = e3+ln t, f (x) = arctan(ex) 2 cos d : z 1. 2: (24pts) let f (x) = ln. 3 102: (6pts) find the following limits: f (x) = lim x 0+ f (x) = lim x + , (5pts) f (x) = 0 has one solution. Find it: (5pts) f (x) = 0 has one solution. 4: (16pts) word problems. a. (10pts) suppose that interest on money in the bank accumulates at an annual rate of 7% compounded continuously. How much money should be invested today so that 20 years from now it will be worth. $ 20000? (hint: use e1. 4 = 4) b. (6pts) one of the guiding principles of most sports is keep your eye on the ball .
