uniform1325 - y = x 4 y = 0 and x = 1 Find the volume...

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Math 242 Section 012: Test #1 NAME: Please circle your lab/discussion: 040 (8:00) 041 (12:30) 042 (1:30) This test has 6 questions on 6 pages . The points per page are 5, 5, 5, 5, 6, 6. Show your work. A correct answer with little or no reasoning may receive a low score. (However, there is no need to be wordy.) The 7th page has some formulas you can refer to if needed. [5 points] Question 1. Evaluate lim x 0 sin x - x x 3 . 1
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[5 points] Question 2. Let R be the region bounded by y = 1 /x , y = 1 /x 2 , and x = 3. Find the area of the region R . 2
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[5 points] Question 3. Let A be the region bounded by
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Unformatted text preview: y = x 4 , y = 0, and x = 1. Find the volume obtained by revolving A around the line x = 3. 3 [5 points] Question 4. Evaluate Z 2 x-1 x 2 + 4 x + 3 dx . 4 [6 points] Question 5. Evaluate Z 1 x 2 √ x 2-16 dx . 5 [6 points] Question 6. Evaluate Z 2 π e-x cos x dx . 6 If helpful, you may use any of these formulas in any of the test questions. sin 2 x = 1 2 ± 1-cos 2 x ² cos 2 x = 1 2 ± 1 + cos 2 x ² Z 1 1 + x 2 dx = ? Z sec x dx = ln | sec x + tan x | + C 7...
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