MATH 32 Study Guide - Final Guide: Ellipse

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12 Oct 2018
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Final exam solutions (1) (10 points) suppose you put in a bank account which gives 6% interest compounded monthly. You may express your answer in terms of a logarithm - no need to give a decimal ap- proximation. Recall that the formula for interest compounded n times a year is (cid:16) (cid:17)nt. Solution: we have p = 100, r = . 06, n = 12, and a = 500, and we"d like to nd t. (cid:18) 1 + ln(5) = ln ln(5) = 12t ln(1. 005) t = ln(5) Above i took the natural log, but any other logarithm would have done just as well. Many students chose to take log1. 005, obtaining the answer t = log1. 005. 12 (2) (10 points) simplify log4(164) + log4(23). Solution: 4 log4(16) + 3 log4(2) = 4(2) + 3( 1. 2 . (3) (a) (5 points) find the area of the ellipse given by (x 2)2.

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