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242test1key010

# 242test1key010 - y — 0 Find the volume obtained when R is...

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Math 242 Section 010: Test #1 L/C NAME: _ Please circle your lab/discussion: 020 021 022 This test has 6 questions on 6 pages. The points per page are 5, 5, 5, 5, C, 6. Show your "work. A correct answer with little or no reasoning may reeeive a low score. (However, there is no need to be wordy.) The 7th page has some formulas you can refer to if needed. r n ^ i -, i i 1 ~ COy X O I I I / [5 points] Question 1. Evaluate lim . / rmO s\ ^ _ ^ ~2l

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[5 points] Question 2. Let R be the region bounded by y = 1/x, y = 1/x' 2 , and x — 2. Find the area of the region 7?,. ? J_ 'X •x--t => -X = ate. 1 is TOP -X J- is BOTTOM at <x=o.) \J -x 2. +
[5 points] Question 3. Let R be the region bounded by the curves y - x 2 5x + 6 and y — 0. Find the volume obtained when R is rotated around

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Unformatted text preview: y — 0. Find the volume obtained when R is rotated around the y-axis. r "-tDP c*-S'x -BOTTOM J ... + 5-x — 2r\x f'2TT [5 points] Question 4. Evaluate / c~ x cosx dx. Jo Of O :r =/e-*jMx] L—• f ^ , 27T-X u = e. d\i-cos V = Si /\T-X Si* r X-Cos, pas-h aa«^. fake #\$ u-du- — v = —cos x X £"coso 1° 2rr-2TT 2. [e ^ o 2ir — ZTf _ \e CosZrr)-e. [6 points] Question 5. Evaluate / ln(3x') dx. lT)\A £?&TJ5. U-Jh\-2_ e. I *'/- = 2. 3-2, Us-~-2, [6 points] Question 6. Evaluate / see' 5 a; dx. X — U-' .s>t a x-/-J-x-f-sec-x -x-f x C...
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