MATH 1680 Study Guide - Midterm Guide: Polonium, Logistic Function, Graphing Calculator
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D(t) = 20 15e kt, where t is measured in months and d(t) is measured in millions of phones. The total number of points available is 146. Name: (10 points) how long does it take an investment of at an annual rate of. Solution: we need to solve the equation 3p = p for t. using logs, we get t = ln 3. 1 + 0:08 (cid:25) 13:87 (cid:25) 13:9 years. Round your answer to the nearest tenth of a year. Solution: we need to solve the equation 3000 = 1000e0:08t for t. using (cid:25) 13:73 (cid:25) 13:7 years. logs, we get t = ln 3. 0:08: (12 points) let f (x) = ex3 27x (a) find an equation for the line tangent to f (x) at the point (0; f (0)). (x) = (3x2 (cid:0) 27)ex3 27x, p.
