MTH 133 Study Guide - Midterm Guide: Cubic Foot, Multiple Choice, Mercedes-Benz 130
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Evaluate the inde nite integral: evaluate the de nite integral: (cid:90) (cid:90) 2. Date: no calculators or notes allowed, the exam lasts exactly 90 minutes, no extra scratch paper: use backs of pages, if anything is unclear, raise your hand for an instructor. No partial credit. (5 points each: if y = 2 ln(3 ln x), then the derivative dy dx. No partial credit. (5 points each: let f (x) = x3 + x2 + 8, for x > 0, with f (2) = 20. Then the derivative(cid:0)f 1(cid:1)(cid:48) (20) = 1/16: to hold a spring stretched 2 m beyond its natural length requires a force of 12 newtons. The work needed to stretch the spring from 2 m beyond its natural length to 3 m beyond its natural length is: 15 joules: suppose constant money in ation makes prices increase exponentially. If prices double every 20 years, then prices will triple after 20 log2(3) years.
