Pre-Calc Homework Solutions 96

Pre-Calc Homework Solutions 96 - 96 Section 3.6 d u du u (u...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 96 Section 3.6 d u du u (u 1 1 1 (u 1 d (x 2 dx 1 2 1 1) u u 1) 1 d u 1 du u (u 1) 1 1 d (u du 38. f (u) u 2 u u 2 u 2 41. 1) dx dt dy dt dy dx d (2 cos t) dt d (2 sin t) dt dy dt dx dt 2 sin t 2 cos t cot t d (u du 1) (u (u 1)2 (u 1) 4(u 1) 1)2 (u 1)3 2 cos t 2 sin t g (x) 1) 2x 3 The line passes through 2 cos and has slope y (x cot 2) 4 4 , 2 sin 4 ( 2, 2) ( f g) ( 1) f (g( 1))g ( 1) f (0)g ( 1) ( 4)(2) 8 42. 2) 1. Its equation is 2, or y x 2 2. 39. (a) dy dx dy du du dx d d (cos u) (6x du dx dx dt dy dt dy dx d (sin 2 t) dt d (cos 2 t) dt dy dt dx dt (cos 2 t) (2 t) ( sin 2 t) (2 t) tan 2 t 2 6 2 d dt d dt 2 cos 2 t 2 sin 2 t ( sin u)(6) 6 sin u 6 sin (6x (b) dy dx 2 sin 2 t 2 cos 2 t 2) The line passes through sin 2 , cos dy du du dx d d (cos 2u) (3x du dx 6 2 3 1 , 2 and has slope 1) y 43. dx dt tan 3 2 3 x d (sec 2 t dt ( sin 2u)(2) (3) 6 sin 2u 6 sin (6x dy 40. (a) dx dy du du dx d sin (u du 6 1 , or y 2 3. Its equation is 3x d dt 2. 1) (2 sec t) (sec t) (2 sec t)(sec t tan t) 2 sec 2 t tan t 2) d 1) (x 2) dx dy dt dy dx d tan t dt dy dt dx dt sec 2 t 1 cot t. 2 cos (u 2x cos (u 1)(1) 2x 1) 1) sec2 t 2 sec2 t tan t 2x cos (x 2 dy (b) dx The line passes through sec 2 4 1 cot 2 1 (x 2 d sec t dt d tan t dt dy dt dx dt 1, tan 4 dy du du dx d d (sin u) (x 2 du dx 4 (1, 1) and has slope 1) y 44. dx dt dy dt dy dx 1 . Its equation is 2 (cos u)(2x) 2x cos u 2x cos (x 2 1) 1, or y sec t tan t sec 2 t sec t tan t 1 x 2 1 . 2 1) sec 2 t sec t tan t 1 sin t csc t 2 6 3 1 3 2 3 1 3 The line passes through sec has slope csc or y 2x 6 , tan , and , 6 2. Its equation is y 3. 2 x ...
View Full Document

Ask a homework question - tutors are online