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10FallHwk07

# 10FallHwk07 - Math 2413 Homework Set 7 10 Points Critical...

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Math 2413 Homework Set 7 10 Points Critical Points Find all the critical points of the following functions. 1. ( ) ( ) ( ) 2 4 2 4 1 4 g z z z = - + 2. ( ) ( ) 2 8 16cos 2 x f x x = + + 3. ( ) 6 5 4 5 12 60 h x x x x = - - 4. ( ) ( ) 3 2 2 4 8 7 P t t t t = - - + 5. ( ) ( ) ( ) 2 ln 3 6 4ln 6 W y y y = + - + Minimum and Maximum Values 6. Below is the graph of some function. Identify the relative and absolute extrema of the function. Finding Absolute Extrema For problems 7 & 8 find the absolute extrema of the function on the given interval. 7. ( ) ( ) ( ) 2 4 2 4 1 4 g z z z = - + on [-2.1 , 1] 8. ( ) ( ) 3 2 2 4 8 7 P t t t t = - - + on [0, 7] Continued on Back °

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Math 2413 Homework Set 7 10 Points For problems 9 & 10 you MUST use Calculus techniques to answer the question and if you need to use decimals for any problem use at least 4 decimal places. Also, please take advantage of any work you’ve done previously in this homework set to make your life easier. 9. The population (in hundreds) of fish in some pond is given by, ( ) ( ) 3 2 2 4 8 7 P t t t t = - - + where t is in years. It is known that if the population ever rises above 2000 there will not be enough
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