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Unformatted text preview: x ) dx Your signature: (5) Use geometry to find the exact value of the following integrals. (a) Z 4 1 | x-2 | dx (b) Z 5 √ 25-x 2 dx Your signature: (6) Use geometry to find the exact value of Z 6-6 | x-1 | dx + Z 6-6 √ 36-x 2 dx Your signature: (7) Given f ( x ) = √ 49-x 2 find the average value of f ( x ) over the interval 0 ≤ x ≤ 7. Your signature: (8) For the function f below, consider the average value of f over the following intervals: I. ≤ x ≤ 1 II. ≤ x ≤ 2 II. 0 ≤ x ≤ 5 IV.-2 ≤ x ≤ 2 (a) For which interval is the average value of f least? (b) For which interval is the average value of f greatest? (c) For which pair of intervals are the average values equal?...
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- Fall '09
- HarvanshManocha
- Calculus, #, Order theory, Polytechnic Institute of NYU MA
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