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Math 1B - Spring 2000 - Vojta - Midterm 1

Math 1B - Spring 2000 - Vojta - Midterm 1 - MON 11:34 FAX...

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Unformatted text preview: 09/25/2000 MON 11:34 FAX 6434330 MOFFITT LIBRARY .001 P. Vojta Math 113M First Midterm Thu 17 Feb 2000 1. (5 points) Estimate the integral f sins,n using Simpson’s rule with n = 6. o -4 Inst: 2. (6 points) Find/ 7dr 0 \fi . , “3" arctan 3: d3: , 3. (6 pomts) Find M. Be careful to explain your steps. 0 (1 + 3:2) (n/ij — (arctanai)2 00 . . . 3” + 5" . . 4. (6 pomts) Determine whether the series 15—” converges or diverges. If it converges, n=1 ﬁnd the sum. 5. (7 points) Find the area of the surface obtained by rotating the curve 1; = 6””, O S :U 5 1n 2, about the m-axis. 50:2 — 5m + 5 6. 8 ' t F' d M d . (poms) 1n f\$3_2\$2+m2 m 7. (12 points) Find two of the following six integrals: [Cautiom some of these integrals are impossible!] . 05.7: sin2 a: . w d . (a) 111.1: ( ) f cos4cr 01\$ (b). [Slnﬁ d0: (e). fexlnrr 03:3 (c). fxa/172+1d:r (f). far; m2+433+13 alas Be sure to circle the ones you want credit for. “Divergent” is an acceptable answer (say why). “Impossible" is not an acceptable answer. Don’t forget the formulas on page 2. Continue onto the other side of this sheet as necessary. ...
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