Pre-Calc Homework Solutions 237

Pre-Calc Homework - Section 6.1 ds v sin t dt ds dt sin t dt dt 1 dv a dt dv dt dt 237 40 42 cos t cos t dt C1 1 s cos t C 0 v sin t Initial

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Unformatted text preview: Section 6.1 ds v sin t dt ds dt sin t dt dt 1 dv a dt dv dt dt 237 40. 42. cos t cos t dt C1 1 s cos t C 0 v sin t Initial condition: s(1) 0 0 1 1 1 Initial condition: v(0) 1 1 sin 0 C1 ds dt cos C C C1 C 1 Velocity: cos t 1 ds dt dt v sin t 1) dt C2 1 1 Solution: s or s 41. dv a dt dv dt dt 1 (sin t cos t t (1 cos t) s Initial condition: s(0) 32 1 32 dt 1 C1 20 43. 32t 20) dt C2 0 C2 [ 2, 3] by [ 3, 3] [ 2, 2] by [ 3, 3] cos 0 1 C2 C2 0 C2 v 32t 2 C1 Initial condition: v(0) 20 20 32(0) C1 ds dt Solution: s cos t t 2 Velocity: ds dt dt v 20 (32t 2 s 16t 20t 44. Initial condition: s(0) 0 0 16(0)2 + 20(0) 0 16t 2 Solution: s 20t 45. 46. 47. 48. d (tan 1 x dx d (sin 1 x dx d (sec 1 x dx d ( cos 1 x dx dy x dx dy dx dx x2 y 2 1 2 3 2 2 C) C) 1 1 x2 1 1 x2 1 x x2 1 1 x2 1 C) C) 1 x2 49. (a) (x x 1 x C 2 ) dx x2 2 1 x C Initial condition: y(1) 2 2 1 2 1 1 2 C C C x2 2 1 x 1 ,x 2 Solution: y 0 ...
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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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