mt165f2009_1

# mt165f2009_1 - 5 n 2 6 n-1(b lim u → 2 u-2 u 2-4(c lim θ...

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Math 165 Midterm Exam Instructor: This part of the exam has 10 problems on 3 pages. Each problem is worth 4 points. You may NOT use a calculator on this section. You must show all work, but you need not simplify your answers . This part of the exam will be collected after 40 minutes . 1. Find the indicated limit or determine that it does not exist. (a) lim n →∞ 3 n 2 - 4 n + 8

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Unformatted text preview: 5 n 2 + 6 n-1 (b) lim u → 2 u-2 u 2-4 (c) lim θ → sin(5 θ ) cos(3 θ ) sin(2 θ ) (d) lim x → 2-x 2 ( x-2)(3-x ) 2. Find dy dx for each of the following: (a) y = 2 πx 3 + 2 x + 5 x-2-3 x 2 / 3 (b) y = sin 3 ( x 2 + 1) (c) y = x 2 √ 3 x + 1 (d) y = 3 x ( x 2 + 1) 3 3. Find dy dx if x 3 y 2 = 7-y + x 2 . 4. If f ( x ) = 2 x cos( x ), ﬁnd f 00 ( x )....
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## This note was uploaded on 10/04/2010 for the course MATH 166 taught by Professor Hotlz during the Spring '08 term at HCCS.

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mt165f2009_1 - 5 n 2 6 n-1(b lim u → 2 u-2 u 2-4(c lim θ...

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