(1) A pizza removed temperature of room that has from the oven has a 450 F....

Transcribed Image Text:

(1) A pizza removed temperature of room that has from the oven has a 450 F. It is left in a a temperature of 70 F. After 5 minutes, the temperature of the pizza is 300 F. (a) Use Newton's law of Cooling to find a model for the temperature of the pizza, T after t minutes. (b) What is the temperature of the pizza after 20 minutes ? (c) When will the temperature of the pizza be 140 F ? bts (2) The function fit) = models 500000 M 0.92t 1+2499 e the number of people, f(t), in a city Who have become ill with influenza t Weeks after its initial Outbreak. many people became ill (a) How many with the flu when the epidemic began? (b) How many people were ill by the end of the Sixth week? pts end of (c) What is the Sixth the limiting size of fit), the pts population that becomes ill ? (3) Suppose that you have 6000 dollars to invest. Which investment fields the S greater return semiannually? over 4 years: 8.25% 8.3% compounded compounded quarterly or Semia (a) Solve the 10 (b) 5' x the following equations: 8.07 17 (c) e 0.83 (5) Determine the amplitude and period pts of the function y = 4 cos 2X. Then graph one period of the function. (6) 6pts If sin t _ and o ne -0.002t models A in millions (8) The function A = 82.3 e the population of Germany, 1pts (a) t years after 2003. What was the population of Germany in 2003 ? 7pts (b) In which year will the population of Germany be 81.5 million? (9) Find the time needed for the turtle 6pts population described by the function P = 175 (1.145) to double its initial size. t decays (10) The quantity, Q, of a substance according to the formula 6 pts Q -kt Qo 1 and Qo = 1000 grams. minutes, the half-life of the 11 minutes. What is A where t is in Substance is the value of k ? (11) The angle of elevation of a a point building from on the ground 30 yards from its base is 37. Find the height of the building 6 pts to the Nearest yard. (12) Evaluate the following! 2 2 pts (a) sin II + Los II 3 (b) sin/I sin(t (c) cos 2.3 sec 2.3 (d) log 64 4 3 (1) A pizza removed temperature of room that has from the oven has a 450 F. It is left in a a temperature of 70 F. After 5 minutes, the temperature of the pizza is 300 F. (a) Use Newton's law of Cooling to find a model for the temperature of the pizza, T after t minutes. (b) What is the temperature of the pizza after 20 minutes ? (c) When will the temperature of the pizza be 140 F ? bts (2) The function fit) = models 500000 M 0.92t 1+2499 e the number of people, f(t), in a city Who have become ill with influenza t Weeks after its initial Outbreak. many people became ill (a) How many with the flu when the epidemic began? (b) How many people were ill by the end of the Sixth week? pts end of (c) What is the Sixth the limiting size of fit), the pts population that becomes ill ? (3) Suppose that you have 6000 dollars to invest. Which investment fields the S greater return semiannually? over 4 years: 8.25% 8.3% compounded compounded quarterly or Semia (a) Solve the 10 (b) 5' x the following equations: 8.07 17 (c) e 0.83 (5) Determine the amplitude and period pts of the function y = 4 cos 2X. Then graph one period of the function. (6) 6pts If sin t _ and o ne -0.002t models A in millions (8) The function A = 82.3 e the population of Germany, 1pts (a) t years after 2003. What was the population of Germany in 2003 ? 7pts (b) In which year will the population of Germany be 81.5 million? (9) Find the time needed for the turtle 6pts population described by the function P = 175 (1.145) to double its initial size. t decays (10) The quantity, Q, of a substance according to the formula 6 pts Q -kt Qo 1 and Qo = 1000 grams. minutes, the half-life of the 11 minutes. What is A where t is in Substance is the value of k ? (11) The angle of elevation of a a point building from on the ground 30 yards from its base is 37. Find the height of the building 6 pts to the Nearest yard. (12) Evaluate the following! 2 2 pts (a) sin II + Los II 3 (b) sin/I sin(t (c) cos 2.3 sec 2.3 (d) log 64 4 3