Business Calc Homework w answers_Part_42

# Business Calc Homework w answers_Part_42 - 206 5 Section...

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5. Estimate the area to be 13.5. 6. Estimate the area to be 1.0986. 7. Estimate the area to be 0.8821. 8. Estimate the area to be 2. 9. LRAM: Area < f (2) ? 2 1 f (4) ? 2 1 f (6) ? 2 1 1 f (22) ? 2 5 2 ? (0 1 0.6 1 1.4 1 1 0.5) 5 44.8 (mg/L) ? sec RRAM: Area < f (4) ? 2 1 f (6) ? 2 1 f (8) ? 2 1 1 f (24) ? 2 5 2(0.6 1 1.4 1 2.7 1 1 0) 5 44.8 (mg/L) ? sec Patient’s cardiac output: } 44.8 (m 5 g m /L g ) ? sec } ? } 6 1 0 m s i e n c } < 6.7 L/min Note that estimates for the area may vary. 10. (a) LRAM: 1 ? (0 1 12 1 22 1 10 1 5 1 13 1 11 1 6 1 2 1 6) 5 87 in. 5 7.25 ft (b) RRAM: 1 ? (12 1 22 1 10 1 5 1 13 1 11 1 6 1 2 1 6 1 0) 5 87 in. 5 7.25 ft 11. 5 min 5 300 sec (a) LRAM: 300 ? (1 1 1.2 1 1.7 1 1 1.2) 5 5220 m (b) RRAM: 300 ? (1.2 1 1.7 1 2.0 1 1 0) 5 4920 m 12. LRAM: 10 ? (0 1 44 1 15 1 1 30 ) 5 3490 ft RRAM: 10 ? (44 1 15 1 35 1 1 35) 5 3840 ft Average 5 } 3490 ft 1 2 3840 ft }5 3665 ft 13. (a) LRAM: 0.001(0 1 40 1 62 1 1 137) 5 0.898 mi RRAM: 0.001(40 1 62 1 82 1 1 142) 5 1.04 mi Average 5 0.969 mi (b) The halfway point is 0.4845 mi. The average of LRAM and RRAM is 0.4460 at 0.006 h and 0.5665 at 0.007 h. Estimate that it took 0.006 h 5 21.6 sec. The car was going 116 mph. 14. Use f ( x ) 5 ˇ 2 w 5 w 2 w x w 2 w and approximate the volume using p r 2 h 5 p ( ˇ 2 w 5 w 2 w n w i 2 w ) 2 D x , so for the MRAM program, use p (25 2 x 2 ) on the interval [ 2 5, 5]. 15. V 5 } 4 3 } p (5) 3 5 } 50 3 0 p } < 523.59878 16. (a) Use LRAM with p (16 2 x 2 ). S 8 < 146.08406 S 8 is an overestimate because each rectangle is above the curve. (b) } ) V 2 V S 8 ) } < 0.09 5 9% 17. (a) Use RRAM with p (16 2 x 2 ). S 8 < 120.95132 S 8 is an underestimate because each rectangle is below the curve. (b) } ) V 2 V S 8 ) } < 0.10 5 10% 18. (a) Use LRAM with p (64 2 x 2 ) on the interval [4, 8], n 5 8. S < 372.27873 m 3 (b) } ) V 2 V S 8 ) } < 0.11 5 11% 19. (a) (5)(6.0 1 8.2 1 9.1 1 1 12.7)(30) < 15,465 ft 3 (b) (5)(8.2 1 9.1 1 9.9 1 1 13.0)(30) < 16,515 ft 3 20. Use LRAM with p x on the interval [0, 5], n 5 5. 1(0 1 p 1 2 p 1 3 p 1 4 p ) 5 10 p < 31.41593 206 Section 5.1 n error % error 10 2.61799 0.5 20 0.65450 0.125 40 0.16362 0.0312 80 0.04091 0.0078 160 0.01023 0.0020 n MRAM 10 526.21677 20 524.25327 40 523.76240 80 523.63968 160 523.60900 n LRAM n MRAM n RRAM n 10 1.98352 2.00825 1.98352 50 1.99934 2.00033 1.99934 100 1.99984 2.00008 1.99984 500 1.99999 2.00000 1.99999 n LRAM n MRAM n RRAM n 10 0.98001 0.88220 0.78367 50 0.90171 0.88209 0.86244 100 0.89190 0.88208 0.87226 500 0.88404 0.88208

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Business Calc Homework w answers_Part_42 - 206 5 Section...

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