Problem 1E: In Exercises 14, decide whether the graph is concave up, concave down, or neither. Problem 2E: In Exercises 14, decide whether the graph is concave up, concave down, or neither. Problem 3E: In Exercises 14, decide whether the graph is concave up, concave down, or neither. Problem 4E: In Exercises 14, decide whether the graph is concave up, concave down, or neither. Problem 5E: The functions in Exercises 58 represent exponential growth or decay. What is the initial quantity?... Problem 6E: The functions in Exercises 58 represent exponential growth or decay. What is the initial quantity?... Problem 7E: The functions in Exercises 58 represent exponential growth or decay. What is the initial quantity?... Problem 8E: The functions in Exercises 58 represent exponential growth or decay. What is the initial quantity?... Problem 9E: Write the functions in Exercises 912 in the form P = P0at. Which represent exponential growth and... Problem 10E: Write the functions in Exercises 912 in the form P = P0at. Which represent exponential growth and... Problem 11E: Write the functions in Exercises 912 in the form P = P0at. Which represent exponential growth and... Problem 12E: Write the functions in Exercises 912 in the form P = P0at. Which represent exponential growth and... Problem 13E: In Exercises 1314, let f(t) = Q0at = Q0(1 + r)t. (a) Find the base, a. (b) Find the percentage... Problem 14E: In Exercises 1314, let f(t) = Q0at = Q0(1 + r)t. (a) Find the base, a. (b) Find the percentage... Problem 15E: A town has a population of 1000 people at time t = 0. In each of the following cases, write a... Problem 16E: An air-freshener starts with 30 grams and evaporates over time. In each of the following cases,... Problem 17E: For which pairs of consecutive points in Figure 1.33 is the function graphed: (a) Increasing and... Problem 18E: The table gives the average temperature in Wallingford, Connecticut, for the first 10 days in March.... Problem 19E: (a) Which (if any) of the functions in the following table could be linear? Find formulas for those... Problem 20E: In Problems 2021, find all the tables that have the given characteristic. y could be a linear... Problem 21E: In Problems 2021, find all the tables that have the given characteristic. y could be an exponential... Problem 22E: Table 1.10 shows some values of a linear function f and an exponential function g. Find exact values... Problem 23E: Match the functions (s), f(s), and g(s), whose values are in Table 1.11, with the formulas... Problem 24E: Each of the functions g, h, k in Table 1.12 is increasing, but each increases in a different way.... Problem 25E: Each of the functions in Table 1.13 decreases, but each decreases in a different way. Which of the... Problem 26E: Figure 1.36 shows Q = 50(1.2)t, Q = 50(0.6)t , Q = 50(0.8)t, and Q = 50(1.4)t. Match each formula to... Problem 27E: In Problems 2732, give a possible formula for the function. Problem 28E: In Problems 2732, give a possible formula for the function. Problem 29E: In Problems 2732, give a possible formula for the function. Problem 30E: In Problems 2732, give a possible formula for the function. Problem 31E: In Problems 2732, give a possible formula for the function. Problem 32E: In Problems 2732, give a possible formula for the function. Problem 33E: The table gives the number of North American houses (millions) with analog cable TV.20 (a) Plot the... Problem 34E: When a new product is advertised, more and more people try it. However, the rate at which new people... Problem 35E: Sketch reasonable graphs for the following. Pay particular attention to the concavity of the graphs.... Problem 36E: (a) A population, P, grows at a continuous rate of 2% a year and starts at 1 million. Write P in the... Problem 37E: A 2008 study of 300 oil fields producing a total of 84 million barrels per day reported that daily... Problem 38E: In 2014, the worlds population reached 7.17 billion22 and was increasing at a rate of 1.1% per year.... Problem 39E: Aircraft require longer takeoff distances, called takeoff rolls, at high-altitude airports because... Problem 40E: One of the main contaminants of a nuclear accident, such as that at Chernobyl, is strontium-90,... Problem 41E Problem 42E: A certain region has a population of 10,000,000 and an annual growth rate of 2%. Estimate the... Problem 43E: According to the EPA, sales of electronic devices in the US doubled between 1997 and 2009, when 438... Problem 44E: (a) Estimate graphically the doubling time of the exponentially growing population shown in Figure... Problem 45E: A deposit of P0 into a bank account has a doubling time of 50 years. No other deposits or... Problem 46E: A 325 mg aspirin has a half-life of H hours in a patients body. (a) How long does it take for the... Problem 47E: (a) The half-life of radium-226 is 1620 years. If the initial quantity of radium is Q0, explain why... Problem 48E: In the early 1960s, radioactive strontium-90 was released during atmospheric testing of nuclear... Problem 49E: Food bank usage in Britain has grown dramatically over the past decade. The number of users, in... Problem 50E: Problems 5051 concern biodiesel, a fuel derived from renewable resources such as food crops, algae,... Problem 51E: Problems 5051 concern biodiesel, a fuel derived from renewable resources such as food crops, algae,... Problem 52E: Hydroelectric power is electric power generated by the force of moving water. The table shows the... Problem 53E: Problems 5354 concern wind power, which has been used for centuries to propel ships and mill grain.... Problem 54E: Problems 5354 concern wind power, which has been used for centuries to propel ships and mill grain.... Problem 55E: (a) The exponential functions in Figure 1.39 have b, d, q positive. Which of the constants a, c, and... Problem 56E: In Problems 5659, explain what is wrong with the statement. A quantity that doubles daily has an... Problem 57E: In Problems 5659, explain what is wrong with the statement. The function y = e0.25x is decreasing... Problem 58E: In Problems 5659, explain what is wrong with the statement. The function y = 2x is increasing, and... Problem 59E: In Problems 5659, explain what is wrong with the statement. The points (0, 1), (1, e), (2, 2e), and... Problem 60E: In Problems 6064, give an example of: A decreasing exponential function with a vertical intercept of... Problem 61E: In Problems 6064, give an example of: A formula representing the statement q decreases at a constant... Problem 62E: In Problems 6064, give an example of: A function that is increasing at a constant percent rate and... Problem 63E: In Problems 6064, give an example of: A function with a horizontal asymptote at y = 5 and range y ... Problem 64E: In Problems 6064, give an example of: An exponential function that grows slower than y = ex for x ... Problem 65E: Are the statements in Problems 6572 true or false? Give an explanation for your answer. The function... Problem 66E: Are the statements in Problems 6572 true or false? Give an explanation for your answer. The function... Problem 67E: Are the statements in Problems 6572 true or false? Give an explanation for your answer. The function... Problem 68E: Are the statements in Problems 6572 true or false? Give an explanation for your answer. If y = f(x)... Problem 69E: Are the statements in Problems 6572 true or false? Give an explanation for your answer. If y = Abx... Problem 70E: Are the statements in Problems 6572 true or false? Give an explanation for your answer. An... Problem 71E: Are the statements in Problems 6572 true or false? Give an explanation for your answer. If a and b... Problem 72E: Are the statements in Problems 6572 true or false? Give an explanation for your answer. The function... format_list_bulleted