Precalculus

A-26 Answers Section 4.5c.RabbitsLargest absolute error: 41,420Sum of the absolute errors: 92,621The population in 2010 will be approximately 870,368.The population will first exceed 1,500,000 in 2031.11.S(t) 78.7e 0.0809terror60t Actual data S(t) 78.7e 0.0809t Absolute0 80 78.7 1.3t Actual data P(t) 232,506e 0.0264t Absolute error501 72 72.6 0.6402 66 66.9 0.9303 61 61.7 0.74 58 56.9 1.12010Largest absolute error: 1.3Sum of the absolute errors: 4.6Month1 2 3 4 5 6The sales for month 6 will be approximately $48,400.The sales will reach $20,000 in month 17.Approximately 66 rabbits (Answers may vary.)13. p(t) 9.2e 0.5142t3. P(t) 20e 0.1823tt Actual data P(t) 20e 0.1823tt Actual data p(t) 9.2e 0.5142t Absolute errorAbsolute error0 8 9.2 1.20 20 20.0 0.01 19 15.4 3.61 24 24.0 0.02 26 25.7 0.32 30 28.8 1.23 40 43.0 3.03 36 34.6 1.44 45 41.5 3.5Largest absolute error: 3.65 54 49.8 4.2Sum of the absolute errors: 8.190% will have encountered the virus approximately halfway throughLargest absolute error: 4.2the 4th quarter.Sum of the absolute errors: 10.3About 5.74 10 12 %5. P(t) 20e 0.1987t15. N(t) 2.7e 0.3226tt Actual data P(t) 20e 0.1987t Absolute errort Actual data N(t) 2.7e 0.3226t Absolute error0 20 20 00 2 2.7 0.71 24 24.4 0.43 6 7.1 1.12 30 29.8 0.27 29 25.8 3.23 36 36.3 0.311 134 93.9 40.14 45 44.3 0.714 275 247.1 27.95 54 54 018 1200 897.9 302.1Largest absolute error: 0.7Sum of the absolute errors: 1.6This model is more accurate.2226283100750024,0003,263.211,859.122,607.8163.24359.11392.27. P(t) 19.9e 0.201t30 42,000 43,098.9 1098.9t Actual data P(t) 19.9e 0.201t Absolute errorLargest absolute error: 4359.1Sum of the absolute errors: 7388.50 20 19.9 0.1There will be approximately 156,632 thousand (156,632,000)1 24 24.3 0.3transistors in 2005.2 30 29.7 0.3The number of transistors will exceed 100 billion in 2046.3 36 36.4 0.417. a. 4 students4 45 44.5 0.5b. Approximately 77 students5 54 54.4 0.4c. Approximately 17 hoursLargest absolute error: 0.5Sum of the absolute errors: 2.0The largest error is smaller, but the sum of the errors is larger.Both models are extremely accurate.d. 22009. P(t) 232,506e 0.0264t0 226,000 232,506 650610 303,000 302,753 247-24020 402,000 394,223 777730 550,000 513,329 36,67140 627,000 668,420 41,420-100Approximately 2000 studentse. The 21st hour19. a. 1945b. 700 miles per hourc. No; the model predicts 674.37 miles per hour for 1997 and hasan upper bound of 700 miles per hour.