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mt165s2010_1

# mt165s2010_1 - 3(e lim x →∞ 5 x-1 3 x 2 1 4 Math 165...

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Math 165 Midterm Exam Part I Spring 2010 Full Name: TA: Section: Instructions: This part is calculator-free. Complete it and hand it in after 30 minutes. Show all work, and justify your conclusions. Give exact values in results. 2 (e) is worth 4 points, all other parts are worth 3 points. 1. Find the indicated limit, or determine that it does not exist. (a) lim θ 0 sin θ tan 3 θ (b) lim x 2 x 2 + x - 6 x - 2 (c) lim x 3 x 2 - 4 x + 6 x 2 - 9 (d) lim x 1 x -

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Unformatted text preview: 3 (e) lim x →∞ 5 x-1 3 x 2 + 1 4 Math 165 Midterm Part I Page 2 2. Evaluate the following derivatives. Do not simplify. (a) d d x [(3 x 2 + x + 1) 2010 ] (b) d d x sin 2 x cos x (c) Find D x y for y = sec 2 (4 x ). (d) Find f (3) for f ( x ) = (2 + x 2 ) 4 / 3 . (e) Find dy dx using implicit diﬀerentiation for the curve 2 x-y 2 = cos( xy ) + 5. 3. Find D 101 x cos x ....
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mt165s2010_1 - 3(e lim x →∞ 5 x-1 3 x 2 1 4 Math 165...

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