Pre-Calc Homework Solutions 405

Pre-Calc Homework Solutions 405 - Section 10.2 dy dx 3 0...

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Unformatted text preview: Section 10.2 dy dx 3 0 405 40. e x, so Area 2 ex 1 (e x)2 dx which using NINT evaluates to dy 41. dx 1 , so Area x2 1273.371. 4 5. (a) 2u 3v 2u (b) 12 2 2(3), 2( 2) 6, 4 3( 2), 3(5) 6, 15 3v 6 ( 6), 4 15 ( 19) 2 12, 19 505 2 1 1 x 1 1 2 dx, which, x2 6. (a) using NINT, evaluates to dy 42. dx 9.417. (b) x 2u 2(3), 2( 2) 6, 4 5v 5( 2), 5(5) 10, 25 2u 5v 6 ( 10), 4 25 ( 16) 3 u 5 4 v 5 3 u 5 2 16, 29 29 2 1097 9 , 5 6 5 8 ,4 5 8 , 5 197 5 5 ( 2) 13 24 60 , 13 13 24 10 , 13 13 6421 13 60 13 15 10 , 13 13 6 5 (ln 2)2 2 2 x (ln 2)2 (ln 2)(2 1 x 2 ), so 2 x)2 dx which 7. (a) x Area 2 (2 x 2 x) (ln 2)2(2 x 3 3 (3), ( 2) 5 5 4 4 ( 2), (5) 5 5 4 v 5 1 2 5 9 5 14 2 5 5 (3), 13 using NINT evaluates to 116.687. 4 s Section 10.2 Vectors in the Plane (pp. 520529) Quick Review 10.2 1. 2. 3 5 1 14 , 5 5 (b) (5 2 1 3 5 1)2 1 4 b 3 (3 2)2 17 8. (a) 5 u 13 12 v 13 12 12 ( 2), (5) 13 13 12 v 13 70 2 13 15 13 3. Solve 4: b 11. 0 0 1 1 3 5 2 6 0 and a 4. a b and b 6. 8 5 u 13 3, 70 13 3 1 5 5. Slope of AB = Slope of CD, so 3 4. Slope of AB = Slope of CD, so (b) 9. 2 10. 2 ( 3)2 1, ( 4) 2 1 3 0, 3 1, 0 1 2 1, 3 4 0 3 1, 1 3 1, ( 1) 1 0, 0 1, 1 6. (a) (b) 7. (a) (b) 8. (a) (b) 9. c2 c 10. 242 cos 32 120 2 3 11. 0 30 6 2, 0 2 2 CD E 2, ( 1) 12. E AB CD E AB E 13. cos 14. cos 2(3)(5) cos (30 ) 34 15 3, so ( 1), 2 1 ( 1), 1 45 4 2 2 , sin 3 3 3 , sin 4 3 4 1 3 , 2 2 1 2 , 1 2 52 15 34 272 242 3 2.832 2(27)(19) cos , so 15. This is the unit vector which makes an angle of 120 90 210 with the positive x-axis; 3 2 1 2 192 272 192 257 and 2(27)(19) 513 257 cos 1 1.046 radians or 59.935 . 513 cos 210 , sin 210 16. cos 135 , sin 135 , 1 1 2 , 2 Section 10.2 Exercises 1. (a) 3(3), 3( 2) = 9, (b) 2. (a) (b) 3. (a) 3 (b) 4. (a) 3 (b) 52 12 92 42 ( 6)2 2(5) 2 2 5 10 5 74 5, 7 ( 10) 2 ( 2), 32 ( 2), ( 7)2 2( 2), 6 117 4, 116 3 10 2 29 1, 3 13 ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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