Pre-Calc Homework Solutions 207

# Pre-Calc Homework Solutions 207 - Section 5.1 21 Use MRAM...

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21. Use MRAM with p x on the interval [0, 5], n 5 5. 1 1 } 1 2 } p 1 } 3 2 } p 1 } 5 2 } p 1 } 7 2 } p 1 } 9 2 } p 2 5 } 2 2 5 } p < 39.26991 22. (a) LRAM 5 : 32.00 1 19.41 1 11.77 1 7.14 1 4.33 5 74.65 ft/sec (b) RRAM 5 : 19.41 1 11.77 1 7.14 1 4.33 1 2.63 5 45.28 ft/sec (c) The upper estimates for speed are 32.00 ft/sec for the first sec, 32.00 1 19.41 5 51.41 ft/sec for the second sec, and 32.00 1 19.41 1 11.77 5 63.18 ft/sec for the third sec. Therefore, an upper estimate for the distance fallen is 32.00 1 51.41 1 63.18 5 146.59 ft. 23. (a) 400 ft/sec 2 (5 sec)(32 ft/sec 2 ) 5 240 ft/sec (b) Use RRAM with 400 2 32 x on [0, 5], n 5 5. 368 1 336 1 304 1 272 1 240 5 1520 ft 24. (a) Upper 5 70 1 97 1 136 1 190 1 265 5 758 gal Lower 5 50 1 70 1 97 1 136 1 190 5 543 gal (b) Upper 5 70 1 97 1 136 1 190 1 265 1 369 1 516 1 720 5 2363 gal Lower 5 50 1 70 1 97 1 136 1 190 1 265 1 369 1 516 5 1693 gal (c) 25,000 2 2363 5 22,637 gal } 22 7 , 2 6 0 37 } < 31.44 h (worst case) 25,000 2 1693 5 23,307 gal } 23 7 , 2 3 0 07 } < 32.37 h (best case) 25. (a) Since the release rate of pollutants is increasing, an upper estimate is given by using the data for the end of each month (right rectangles), assuming that new scrubbers were installed before the beginning of January. Upper estimate: 30(0.20 1 0.25 1 0.27 1 0.34 1 0.45 1 0.52)
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