Pre-Calc Homework Solutions 236

Pre-Calc Homework Solutions 236 - 236 Section 6.1 d 3y 1 dt...

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Unformatted text preview: 236 Section 6.1 d 3y 1 dt 3 t3 d 3y dt t 3 dt dt 3 d 2y 1 2 t C1 dt 2 2 d 4y d 4 37. 38. 4 sin (sin cos cos cos ) d sin 3 C1 C1 d y d d 4 d 3y d 3 Initial condition: y (3)(0) 2 3 cos 0 1 C1 d 3y d 3 Initial condition: y (1) 2 2 5 2 1 (1) 2 2 1 C1 2 sin 0 C1 3 2 C1 C1 d y dt 2 2 Third derivative: 1 2 t 2 5 2 d y d d 3 d 2y d 2 3 cos sin cos 1 2(0) 2 sin 2) d C2 2 Second derivative: d y dt dt 2 dy 1 1 t dt 2 2 ( cos sin 1 2 5 t 2 2 5 t C2 2 dt Initial condition: y (0) 3 1 1 0 sin 0 1 C2 d 2y d 2 Initial condition: y (1) 3 3 0 1 (1) 1 2 5 (1) 2 cos 0 C2 C2 C2 3 C2 C2 Second derivative: d y d d 2 dy cos d 2 sin cos 2 cos 2 )d 2 ( sin sin dy 1 1 First derivative: t dt 2 dy 1 1 5 dt t t dt dt 2 2 1 5 2 y ln t t C3 2 4 5 t 2 C3 1 Initial condition: y (0) 1 1 2 cos 0 1 C3 dy d sin 0 0 2 C3 Initial condition: y(1) 1 1 1 4 1 5 2 ln 1 (1) 2 4 5 C3 4 1 C3 C3 First derivative: dy d d cos sin 3 sin 2 2 2 (cos cos 2) d C4 C3 1 ln t 2 5 2 t 4 1 4 y sin 3 03 3 2 3 Solution: y Initial condition: y(0) 3 3 4 sin 0 1 C4 C4 cos 0 2(0) C4 3 Solution: y 39. ds v dt ds dt dt sin 5 cos 3 2 4 9.8t (9.8t 2 5) dt C s 4.9t 5t Initial condition: s(0) 10 10 4.9(0)2 5(0) C 10 C Solution: s 4.9t 2 5t 10 ...
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