10FallHwk05_Soln

10FallHwk05_Soln - Math 2413 Homework Set 5 Solutions 10...

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Math 2413 Homework Set 5 – Solutions 10 Points 2. (2 pts) () ( ) ( )( ) ( ) 22 4 3 14 13 33 x x xx x fx - - +- ¢ == -- e e ee e 3. (2 pts) () () 2 4 sin 1 h x ¢ = -+ - 6. (2 pts) ( ) ( ) ( ) ( ) 89 10 81 6 si n 6 61 6 co s6 dy y t t t tt dt ¢ = = + ++ 9. (2 pts) ( ) ( ) ( )( ) 2 2 sin1 12 sin 11 co s 1 l n co s 1 ln t t t h tt t t t ¢ = - += ²³ - + Ll 10. (2 pts) We’ll need the derivative and where it is zero. 2 2 2 2 2 6 1 2 6 1 2 4 6 2 23 0 0 , 2 30 t t t t g x t t - + - + ¢ = - = - = fi = -= e e e e Solving the second equation gives, 2 2 6 1 72 3 2 2 3 7 l n 7 l n 2.7213 t - =fi - = = + =– e The derivative will be zero at the three numbers listed above. Here is a number line for the derivative. The increasing/decreasing information for this function is then, Increase : 2.271 3 0 , 2.271 3 Decrease : 2.2713 , 0 2.2713 x x - < < < < ¥ - << Not Graded 1. 5655 1 6 l n 6 ln z g zz z z z zz ¢ = + =+ 4. 1 2 2 1 sin 1 1 y R yy y y - ¢ = ++ + -
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Math 2413 Homework Set 5 – Solutions 10 Points 5. () ( ) 1 52 11 2 2 1 1 24ta n sec g z x xx - ¢ =- 7. ( ) ( ) ( ) ( ) ( ) ( ) 2 6 6 25 22 2 6 26 4 2 2 4 2 28 44 w w w w ww w w gw - -- - + - + - +- ¢ == ++ e e e e ee 8. 2 33 8 3 3 2 8 1 se c 8 1 ta n 81 T x x x - ¢ + - + -+ ²³ Ll 11. We’ll need the derivative and where it is zero.
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This note was uploaded on 11/13/2010 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.

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10FallHwk05_Soln - Math 2413 Homework Set 5 Solutions 10...

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