FORUM ADVANCED FUNCTIONS

43) The growth in population of a city can be seen using the formula p(t) = 2148e0.008t, where t is the number of years. Use this formula to calculate the population after 10 years.

44) Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by ln(1 – P) = -0.0039 – 0.0051x, where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when x = 63. Round to three decimal places.

45) Suppose f(x) = 32.6 + 1.2log (x + 1) models salinity of ocean water to depths of 1000 meters at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the salinity (to the nearest hundredth) when the depth is 771 meters.

Answer Key Testname: FORUM ADVANCED FUNCTIONS

1) 1 4

2) {-3} 3) {-4} 4) {4} 5) {2} 6) {3} 7) {-3} 8) {-8, 8} 9) {625}

10) – 1 3

11) 1 7

12) – 1 4

13) {-3, 3}

14) 7 4

15) 1 3

16) – 9 7

17) 1396 18) 113 19) 1841 units 20) 164 cases 21) 55.9 g 22) {3} 23) {-3} 24) {6} 25) {5} 26) {13} 27) {-2}

28) 3 5

29) 1 3

30) {64}

Answer Key Testname: FORUM ADVANCED FUNCTIONS

31) 1 125

32) {15} 33) {4} 34) {4} 35) 4 36) -4 37) 6 38) -1 39) 49 40) -18 41) 1000 42) -40 43) 2327 44) 0.278 45) 36.07 g/kg