Pre-Calc Homework Solutions 94

Pre-Calc Homework Solutions 94 - 94 Section 3.6 dy dx d dx...

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Unformatted text preview: 94 Section 3.6 dy dx d dx ( 2x 3 2x 1 1) (3) ( 2x ( 2x 1)(0) 3 2x 3 2 1 2x 1 d dx d dx 15. 19. 3 ( 1)2 1 2 2x d (2x 1 dx dy dx d (1 dx cos2 7x)3 cos2 7x)2 (1 d dx 2x 1) 3(1 3(1 3(1 1) cos2 7x) d dx cos2 7x)2(2 cos 7x) (cos 7x) cos2 7x)2(2 cos 7x)( sin 7x) (7x) cos2 7x)2(2 cos 7x)( sin 7x)(7) cos2 7x)2 cos 7x sin 7x d dx 3(1 1 42(1 dy dx d ( dx (2) 1 3 2x 20. 2x 3/2 (2x 1) 1 3(2x 1) 1 d tan 5x 2 tan 5x dx 1 d (sec2 5x) (5x) dx 2 tan 5x 1 2 tan 5x) (sec 5x)(5) 5 2 2 tan 5x 5 sec2 5x 2 tan 5x or (tan 5x) 3t 3t d dt 2 1/2 sec2 5x 16. dy dx d dx ( 1 x 1 2 x2 d x ) (x) dx d x ( dx 21. 1 x ) 2 ds dt d cos 2 dt sin x 2) ( 1 ( 1 x )(1) 2 x ) x 1 2 2 2 2 2 3t 1 2 1 x 2 d (1 dx sin 3 sin 22. ds dt 3t ( 3) 3t 4t)] 4t)] 4t)] ( 4t)]( 4) 4t) cos ( d dt x2 1 x2 1 x2 x 1 x2 x 1 3/2 2 (2x) 2 1 (1 (1 x) x 2)( 2 d [t cos ( dt d (t) [cos ( dt cos ( 4t) cos ( 4t) 4t) (t) cos ( 4t) 4t)(1) d dt x 2) t[ sin ( t[ sin ( 4t sin ( (1 x2) 17. The last step here uses the identity 2 sin a cos a dy dx d sin2 (3x dx sin 2a. 23. ds dt d dt 4 3 4 3 4 4 4 sin 3t cos 5t 3 5 d 4 d (cos 3t) (3t) ( sin 5t) (5t) dt 5 dt 4 (cos 3t)(3) ( sin 5t)(5) 5 4 2) 2) d sin (3x dx 2 sin (3x 2 sin (3x 2 sin (3x 6 sin (3x 3 sin (6x 18. dy dx d (1 dx 2) 2) (3x 2)(3) 2) 24. ds dt d dx 2) cos (3x 2) cos (3x 2) cos (3x 4) 2(1 2) cos 3t sin 5t cos 2x)2 cos 2x) (1 d dx d dx cos 2x) 25. dr d d sin dt 3 cos 2 3 cos 2 3 7 t cos t 2 4 7 d 3 d 7 t t sin t t 4 dt 4 dt 2 3 7 7 t sin t 2 4 4 2(1 2(1 4(1 cos 2x)( sin 2x) (2x) cos 2x)( sin 2x)(2) cos 2x)(sin 2x) 26. d tan (2 d ) sec2 (2 sec2 (2 ) d (2 d ) sec2 (2 dr d )( 1) ) d (sec 2 tan 2 ) d d d (sec 2 ) (tan 2 ) (tan 2 ) (sec 2 ) d d d d (sec 2 )(sec2 2 ) (2 ) (tan 2 )(sec 2 tan 2 ) (2 ) d d 2 sec3 2 2 sec 2 tan2 2 ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.

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