Pre-Calc Homework Solutions 112

Pre-Calc Homework Solutions 112 - 112 Section 3.8 8 x 8 y 8...

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: 112 Section 3.8 8 x 8 y 8 x 8 x 3x x 2 dy ds d sec 1 (2s ds 1 2s 1 1 2s 1 4s 2 8. f(x) y x 5. 1) d (2s ds 1 Interchange x and y: y f 9. f(x) 1 (2s 1) 2 1) 1 (2) 4s 2s 1 5s (5s)2 1 s2 s 1 s 25s 2 1 (x) y xy 6. dy ds dy dx d sec 1 5s ds d csc 1 (x 2 dx 1 x2 (x2 2x x 4 d (5s) 1 ds 3x 2 2 y 3 2 3 2 3 x x 2 7. 1) d (x 2 1 dx (x 2 (y 3)x x 2 3 y 1 1) 1)2 2x 2 1) 2 1) x2 2 Interchange x and y: y f 10. f(x) tan y x 1 (x 2 Note that the condition x 0 is required in the last step. (x) y x , 3 x arctan 3 2 2 8. dy dx d x csc 1 dx 2 2 1 x 2 x 2 2 d x 1 dx 2 y y 2 x 2 dy dt 3 tan y, x2 4 Interchange x and y: y f 1 3 tan x, (x) 2 x 2 2 9. 2 1 d sec 1 t dt 1 1 t 1 t 2 d 1 dt t 1 1 1 t2 3 tan x, x 1 Section 3.8 Exercises 1. dy dx d cos 1 (x 2) dx 1 1 x4 1 1 2x 1 d 2 (x ) dx (x ) 2 2 1 t 1 2 t 1 1 t2 Note that the condition t 0 is required in the last step. (2x) x4 10. d 1 2 dx x dy dt d 3 sin 1 2 dt t 1 1 d 3 2 dt t2 3 t2 2. dy dx 1 d cos 1 x dx 1 1 1 1 x 2 1 1 x 1 1 9 t4 6 t3 6 t t4 9 d t)2 dt 1 x2 1 x 1 1 ( 2 t)2 1 1 (1 x2 1 d ( dt 2 1 2t 2 11. dy dt d cot 1 dt 1 t 1 1 ( t 3. dy dt dy dt d sin 1 dt d sin 1 (1 dt 1 2t t2 2t 2 t) 2 t (t dy dt 1) 1 1 ( t 1 2t t 1 d dt 1) 2 4. t) d (1 2 dt t) t) 12. d cot 1 dt 1 t t 1 t 1 1 1 1 2 t ( 1 ) ...
View Full Document

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.

Ask a homework question - tutors are online