9_Cal_Solution of Calculus_6e

9_Cal_Solution of Calculus_6e - C01S01.048: Recall that...

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C01S01.048: Recall that A ( x )= x (50 x ), 0 5 x 5 50. Here is a table of a few values of the function A at some special numbers in its domain: x 0 5 10 15 20 25 30 35 40 45 50 A 0 225 400 525 600 625 600 525 400 225 0 It appears that when x = 25 (so the rectangle is a square), the rectangle has maximum area 625. C01S01.049: Recall that the total daily production of the oil Feld is p ( x ) = (20 + x )(200 5 x )i f x new wells are drilled (where x is an integer satisfying 0 5 x 5 40). Here is a table of all of the values of the production function p : x 01234567 p 4000 4095 4180 4255 4320 4375 4420 4455 x 8 9 10 11 12 13 14 15 p 4480 4495 4500 4495 4480 4455 4420 4375 x 16 17 18 19 20 21 22 23 p 4320 4255 4180 4095 4000 3895 3780 3655 x 24 25 26 27 28 29 30 31 p 3520 3375 3220 3055 2880 2695 2500 2295 x 32 33 34 35 36 37 38 39 p 2080 1855 1620 1375 1120 855 580 295 and, Fnally, p (40) = 0. Answer: Drill ten new wells. C01S01.050: The surface area A of the box of Example 8 was A ( x )=2 x 2 + 500 x , 0 <x< . The restrictions x = 1 and y = 1 imply that 1 5 x 5 125. A small number of values of
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