Hcalcsampletest3 - HONORS CALCULUS II DR BLOCK TEST 3 5(8 points Give an expression using denite integrals for the the area of the region that lies

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HONORS CALCULUS II, DR. BLOCK, TEST 3 There are 6 problems worth a total of 50 points. Show your work on this paper. 1. (6 points) Set up, but do not evaluate an integral for the area of the surface obtained by rotating the given curve about the y -axis. y = sec x, 0 x π 4 2. (8 points) Find the sum of the series X n =1 ( - 1) n π 2 n 6 2 n (2 n )!
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HONORS CALCULUS II, DR. BLOCK, TEST 3 3. (8 points) Sketch the curve by using the parametric equations to plot points. Also, find an equation for the tangent to the curve at the point (2 , - 3) . x = t, y = 1 - t 4. (8 points) Find the centroid of the region bounded by y = x + 2 and y = x 2
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Unformatted text preview: . HONORS CALCULUS II, DR. BLOCK, TEST 3 5. (8 points) Give an expression using denite integrals for the the area of the region that lies inside both curves (i.e. the intersection of the regions inside the curves). You need not evaluate the integrals. r = 3 + 2sin , r = 2 HONORS CALCULUS II, DR. BLOCK, TEST 3 6. (12 points) Find a power series representation (in powers of x) for the function, and determine the interval on which the power series converges to the function. Also, use this power series to nd f (100) (0) . f ( x ) = x 4 x + 1...
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This note was uploaded on 07/03/2008 for the course MAC 3473 taught by Professor Block during the Spring '08 term at University of Florida.

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Hcalcsampletest3 - HONORS CALCULUS II DR BLOCK TEST 3 5(8 points Give an expression using denite integrals for the the area of the region that lies

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