10FallHwk04_Soln

# 10FallHwk04_Soln - Math 2413 Homework Set 4 – Solutions 10 Points 1(2 pts 3 1 4 4 4 1 3 11 9 10 1 3 2 3 8 6 2 32 h t t t t h t t t t ¢ = = 4(2

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Unformatted text preview: Math 2413 Homework Set 4 – Solutions 10 Points 1. (2 pts) ( ) ( ) 3 1 4 4 4 1 3 11 9 10 1 3 2 3 8 6 2 32 h t t t t h t t t t--- ¢ = +- + = + + 4. (2 pts) (a) ( ) ( ) ( ) ( )( ) 2 2 6 9 26 4 6 1 5 4 4 6 4 11 v t s t t t t t t t ¢ = =- + =- + =-- (b) The object will at rest at : 4,11 t = (c) The following number line will help us answer this question. From this number line we get the following information. Moving Right : t 4, 11 t Moving Left : 4 11 t-¥ < < < < ¥ < < 7. (2 pts) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 2 2 2 2 2 3 7 3 2 3 1 4 21 7 7 y y y y y y y W y y y------ +- ¢ = =-- 11. (2 pts) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 1 5 si n si n 15co s co s 2 15si n 15cos Y q q q q q q q q q ¢ =--- = +- 13. (2 pts) We’ll need to know where the derivative is zero in the range [0, 10] ( i.e. the 1 st 10 years). We solved several functions like this back in the first homework set so you should be pretty good at these at this point. If you need to go back to that homework set for a little review. If you need to go back to that homework set for a little review....
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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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10FallHwk04_Soln - Math 2413 Homework Set 4 – Solutions 10 Points 1(2 pts 3 1 4 4 4 1 3 11 9 10 1 3 2 3 8 6 2 32 h t t t t h t t t t ¢ = = 4(2

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