Review-for-final-exam - Review for Final Exam Math 1314 1...

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Review for Final Exam Math 1314 1. Find the absolute extrema of the function 3 2 2 ( ) 4 6 3 3 f x x x x = - + + on the interval [0, 4].
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2. Suppose you want to fence in some land along the straight edge of a river. The side along the river will not need to be fenced. You have 1000 feet of fencing to use. Find the dimensions of the field of maximum area that you can fence.
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3. Postal regulations specify that a parcel sent by parcel post may have a combined length and girth of no more than 96 inches. If a package has a square base, find the maximum volume. The girth is the perimeter of the base of the package.
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Find the indefinite integral. 4. ( 2 8 3 x x dx - + 5. 7 x e dx - 6. 7 dx x
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7. 5 5 dx x 8. 6 dx x 9. 3 2 4 6 5 x x x dx x - + +
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10. 2 3 5 x dx x + 11. 2 3 5 x dx x -
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12. ( 6 2 2 4 x x dx + 13. 2 8 x x dx +
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14. Suppose 2 ( ) 2 5 f x x = + . Use Riemann sums, right endpoints and n = 4 to approximate the area under the graph of the function on the interval [0, 8].
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15.
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