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exam1_wi03

# exam1_wi03 - x 2 ≤ f x ≤ x for 0 ≤ x ≤ 1 Explain...

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Name: Section: TA: Time: Math 10B. Midterm Exam 1 January 29, 2003 1. Consider the function f satisfying f 00 ( x )=2cos x - sin x, f 0 (0) = 1 ,f (0) = 0. Find f . 2. Evaluate Z 2 - 2 4 - x 2 dx . # Score 1 2 3 4 5 Σ

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3. If Z π 4 0 f ( x ) dx =17and Z π 3 0 f ( x ) dx = 35, ﬁnd Z π 3 π 4 f ( x ) dx . 4. Let f be a continuous function such that
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Unformatted text preview: x 2 ≤ f ( x ) ≤ x for 0 ≤ x ≤ 1. Explain why 1 3 ≤ Z 1 f ( x ) dx ≤ 1 2 . 5. Find the area enclosed between the graph of sin x and the x-axis for 0 ≤ x ≤ 2 π ....
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exam1_wi03 - x 2 ≤ f x ≤ x for 0 ≤ x ≤ 1 Explain...

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