Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14... Problem 15TI: Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take... Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds.... Problem 17TI: A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the... Problem 18TI: Using the model in Example 6, estimate the number of cases of flu on day 15. Problem 19TI: Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model. Problem 20TI: Change the function y=3(0.5)x to one having e as the base. Problem 1SE: With what kind of exponential model would half-life be associated? What role does half-life play in... Problem 2SE: Is carbon dating? Why does it work? Give an example in which carbon dating would be useful. Problem 3SE: With what kind of exponential model would doubling time be associated? What role does doubling time... Problem 4SE: Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of... Problem 5SE: What is an order of magnitude? Why are orders of magnitude useful? Give an example to explain. Problem 6SE: The temperature of an object in degrees Fahrenheit after t minutes is represented by the equation... Problem 7SE: For the following exercises, use the logistic growth model f(x)=1501+8e2x . 7. Find and intercept... Problem 8SE: For the following exercises, use the logistic growth model f(x)=1501+8e2x . Find and interpret f(4).... Problem 9SE: For the following exercises, use the logistic growth model f(x)=1501+8e2x . Find the carrying... Problem 10SE: For the following exercises, use the logistic growth model f(x)=1501+8e2x . Graph the model. Problem 11SE: For the following exercises, use the logistic growth model f(x)=1501+8e2x . Determine whether the... Problem 12SE: For the following exercises, use the logistic growth model f(x)=1501+8e2x . Rewrite f(x)=1.68(0.65)x... Problem 13SE: For the following exercises, enter the data from each table into a graphing calculator and graph the... Problem 14SE: For the following exercises, enter the data from each table into a graphing calculator and graph the... Problem 15SE: For the following exercises, enter the data from each table into a graphing calculator and graph the... Problem 16SE: For the following exercises, enter the data from each table into a graphing calculator and graph the... Problem 17SE: For the following exercises, use a graphing calculator and this scenario: the population of a fish... Problem 18SE: For the following exercises, use a graphing calculator and this scenario: the population of a fish... Problem 19SE: For the following exercises, use a graphing calculator and this scenario: the population of a fish... Problem 20SE: For the following exercises, use a graphing calculator and this scenario: the population of a fish... Problem 21SE: For the following exercises, use a graphing calculator and this scenario: the population of a fish... Problem 22SE: For the following exercises, use a graphing calculator and this scenario: the population of a fish... Problem 23SE: A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8... Problem 24SE: The formula for an increasing population is given by p(t)=P0ert where P0 is the initial population... Problem 25SE: Recall the formula for calculating the magnitude of an earthquake, M=23log(SS0) . Show each step for... Problem 26SE: What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation.... Problem 27SE: Prove that bx=exln(b) for positive b1 . Problem 28SE: For the following exercises, use this scenario: A doctor prescribes 125 milligrams of a therapeutic... Problem 29SE: For the following exercises, use this scenario: A doctor prescribes 125 milligrams of a therapeutic... Problem 30SE: For the following exercises, use this scenario: A doctor prescribes 125 milligrams of a therapeutic... Problem 31SE: For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125,... Problem 32SE: For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125,... Problem 33SE: For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125,... Problem 34SE: For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125,... Problem 35SE: For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125,... Problem 36SE: For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125,... Problem 37SE: For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125,... Problem 38SE: For the following exercises, use this scenario: A biologist recorded a count of 360 bacteria present... Problem 39SE: For the following exercises, use this scenario: A biologist recorded a count of 360 bacteria present... Problem 40SE: For the following exercises, use this scenario: A pot of boiling soup with an internal temperature... Problem 41SE: For the following exercises, use this scenario: A pot of boiling soup with an internal temperature... Problem 42SE: For the following exercises, use this scenario: A pot of boiling soup with an internal temperature... Problem 43SE: For the following exercises, use this scenario: A turkey is taken out of the oven with an internal... Problem 44SE: For the following exercises, use this scenario: A turkey is taken out of the oven with an internal... Problem 45SE: For the following exercises, use this scenario: A turkey is taken out of the oven with an internal... Problem 46SE: For the following exercises, find the value of the number shown on each logarithmic scale. Round all... Problem 47SE: For the following exercises, find the value of the number shown on each logarithmic scale. Round all... Problem 48SE: For the following exercises, find the value of the number shown on each logarithmic scale. Round all... Problem 49SE: For the following exercises, find the value of the number shown on each logarithmic scale. Round all... Problem 50SE: For the following exercises, use this scenario: The equation N(t)=5001+49e0.7t models the number of... Problem 51SE: For the following exercises, use this scenario: The equation N(t)=5001+49e0.7t models the number of... Problem 52SE: For the following exercises, use this scenario: The equation N(t)=5001+49e0.7t models the number of... Problem 53SE: For the following exercise, choose the correct answer choice. A doctor and injects a patient with 13... format_list_bulleted