01:640:151 Study Guide - Midterm Guide: Weather Balloon

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15 Oct 2018
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Math 151, fall 2009, review problems for exam 2. Your second exam is likely to have problems that do not resemble these review problems. Partial answers to these problems will be posted in a few days. (1) find lim x 1 (2) find lim x 0. 2x4 3x3 + x2 x + 1 x4 3x3 + 2x2 + x 1 x sin x x x cos x (3) find the horizontal asymptotes of f(x) = x . 3 dx(cid:2)sec 1 x(cid:3) using the identity sec 1 x = cos 1(1/x) and the chain rule. The (8) find d algebra must be done carefully to get |x| in the denominator. (9) find the absolute maximum and the absolute minimum of f(x) = ln( x) + sec 1 x over the interval [ 2, 1]. (10) find d dx. 1 (13) a spherical weather balloon is being in ated at the rate of 12 cubic inches per second.

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