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Review Problems for Test 2 MATH 2224

# Review Problems for Test 2 MATH 2224 - R x x y dA for 2,2...

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Math 2224 Review Problems for Test 2 – Spring 2007 Test 2 is Monday, March 26 ( * means set-up only) Section 15.1 4, 9, Example done in Lecture (see below) Example: Let [ 2,2] [ 1,1] R x = - - . Use a Riemann sum with m=2, n=2 to estimate 2 (2 ) R x x y dA + . a) Take the sample points to be lower left corners of subrectangles. (Ans: -24) b) Take the sample points to be midpoints of subrectangles. (Ans: 0) (For the final exam review #5) Section 15.2 3, 9, 11, 29, 34*, Evaluate the lecture problem given above to determine which estimate was closest to the actual value; i. e., Calculate 2 (2
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Unformatted text preview: ) R x x y dA + for [ 2,2] [ 1,1] R x = --. Section 15.3 1, 6, 9, 13, 20 (Ans: 19/210), 26*, 39, 41, 44, 45 Section 15.4 10, 15, 20*, 22*, 24 (Ans: 6Pi), 25*, 29 Section 15.5 5*, 8*, 9 (Hint: Mass = 2 2 2 1 27 3 2 y y dxdy +-= ), 11*(worked in class) Section 15.7 3, 10, 15, 18 (Ans: 144), 19*, 20 (Reduce to double integral and then convert to polar form to evaluate. Ans: 128Pi), 36*, 38* (similar to one done in lecture), 47 Section 15.8 Problems from this section will be given as a homework assignment. (Section 12.7 is a review for Section 15.8.)...
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