Problem 1MP: Matched Problem 1 Assuming the same continuous compound growth rate as Example 1, what will Indias... Problem 2MP: Matched Problem 2 If the exponential growth law applies to population growth in Nigeria, find the... Problem 3MP: Matched Problem 3 Estimate the age of the bone in Example 3 (to the nearest 100 years) if 50% of the... Problem 4MP: Matched Problem 4 In Example 4, what is the rate of improvement (to two decimal places) after 50... Problem 1ED Problem 1E: In Problems 18, express the relationship between f(x) and f(x) in words, and write a differential... Problem 2E: In Problems 18, express the relationship between f(x) and f(x) in words, and write a differential... Problem 3E: In Problems 18, express the relationship between f(x) and f(x) in words, and write a differential... Problem 4E Problem 5E: In Problems 18, express the relationship between f(x) and f(x) in words, and write a differential... Problem 6E: In Problems 18, express the relationship between f(x) and f(x) in words, and write a differential... Problem 7E: In Problems 18, express the relationship between f(x) and f(x) in words, and write a differential... Problem 8E: In Problems 18, express the relationship between f(x) and f(x) in words, and write a differential... Problem 9E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 10E Problem 11E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 12E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 13E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 14E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 15E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 16E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 17E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 18E Problem 19E: A In Problems 920, find the general or particular solution, as indicated, for each first-order... Problem 20E Problem 21E: In Problems 2124, give the order (first, second, third, etc.) of each differential equation, where y... Problem 22E Problem 23E: In Problems 2124, give the order (first, second, third, etc.) of each differential equation, where y... Problem 24E Problem 25E: In Problems 2124, give the order (first, second, third, etc.) of each differential equation, where y... Problem 26E: In Problems 2124, give the order (first, second, third, etc.) of each differential equation, where y... Problem 27E: Is y=9+x2 a solution of the differential equation y=xy? Explain. Problem 28E: Is y=5ex2/2 a solution of the differential equation y = xy? Explain. Problem 29E: Is y = e3x a solution of the differential equation y 4y + 3y = 0? Explain. Problem 30E Problem 31E: Is y= 100e3x a solution of the differential equation y 4y + 3y = 0? Explain. Problem 32E Problem 33E: B Problems 3338 refer to the following slope fields: 33. Which slope field is associated with the... Problem 34E: B Problems 3338 refer to the following slope fields: 34. Which slope field is associated with the... Problem 35E: B Problems 3338 refer to the following slope fields: 35. Solve the differential equation dy/dx = x ... Problem 36E Problem 37E: B Problems 3338 refer to the following slope fields: 37. Graph the particular solution found in... Problem 38E Problem 39E: In Problems 3946, find the general or particular solution, indicated, for each differential... Problem 40E: In Problems 3946, find the general or particular solution, indicated, for each differential... Problem 41E: In Problems 3946, find the general or particular solution, indicated, for each differential... Problem 42E: In Problems 3946, find the general or particular solution, indicated, for each differential... Problem 43E: In Problems 3946, find the general or particular solution, indicated, for each differential... Problem 44E: In Problems 3946, find the general or particular solution, indicated, for each differential... Problem 45E: In Problems 3946, find the general or particular solution, indicated, for each differential... Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E: In Problems 4750, does the given differential equation model unlimited growth, exponential decay,... Problem 51E: Problems 5158 refer to the following slope fields: Figure for 5158 C 51. Which slope field is... Problem 52E Problem 53E: Problems 5158 refer to the following slope fields: Figure for 5158 53. Show that y = 1 Cex is a... Problem 54E: Problems 5158 refer to the following slope fields: Figure for 5158 54. Show that y = Cex 1 is a... Problem 55E: Problems 5158 refer to the following slope fields: Figure for 5158 55. Graph the particular solution... Problem 56E Problem 57E: Problems 5158 refer to the following slope fields: Figure for 5158 57. Use a graphing calculator to... Problem 58E: Problems 5158 refer to the following slope fields: Figure for 5158 58. Use a graphing calculator to... Problem 59E: Show that y=Cx2 is a solution of the differential equation dy/dx = x/y for any positive real number... Problem 60E: Show that y=x2+C is a solution of the differential equation dy/dx = x/y for any real number C. Find... Problem 61E: Show that y = Cx is a solution of the differential equation dy/dx = y/x for any real number C. Find... Problem 62E: Show that y = C/x is a solution of the differential equation dy/dx = y/x for any real number C. Find... Problem 63E: Show that y = 1/(1 + cet) is a solution of the differential equation dy/dt = y(1 y) for any real... Problem 64E Problem 65E Problem 66E: Problems 6572, use a graphing calculator to graph the given examples of the various cases in Table 1... Problem 67E Problem 68E Problem 69E: Problems 6572, use a graphing calculator to graph the given examples of the various cases in Table 1... Problem 70E: Problems 6572, use a graphing calculator to graph the given examples of the various cases in Table 1... Problem 71E: Problems 6572, use a graphing calculator to graph the given examples of the various cases in Table 1... Problem 72E Problem 73E: Show that the rate of logistic growth, dy/dt = ky(M y), has its maximum value when y = M/2. Problem 74E: Find the value of t for which the logistic function y=M1+cekMt is equal to M/2. Problem 75E Problem 76E Problem 77E: Continuous compound interest. Find the amount A in an account after t years if... Problem 78E Problem 79E: Continuous compound interest. Find the amount A in an account after t years if... Problem 80E: Continuous compound interest. Find the amount A in an account after t years if... Problem 81E: Pricedemand. The marginal price dp/dx at x units of demand per week is proportional to the price p.... Problem 82E: Pricesupply. The marginal price dp/dx at x units of supply per day is proportional to the price p.... Problem 83E: Advertising. A company is trying to expose a new product to as many people as possible through TV... Problem 84E Problem 85E: Biology. For relatively clear bodies of water, the intensity of light is reduced according to... Problem 86E: Blood pressure. Under certain assumptions, the blood pressure P in the largest artery in the human... Problem 87E: Drug concentration. A single injection of a drug is administered to a patient. The amount Q in the... Problem 88E: Simple epidemic. A community of 10,000 people is homogeneously mixed. One person who has just... Problem 89E Problem 90E Problem 91E: Archaeology. A skull found in an ancient tomb has 8% of the original amount of radioactive carbon-14... Problem 92E: Learning. For a person learning to type, the number N of words per minute that the person could type... Problem 93E Problem 94E: Perception. The WeberFechner law concerns a persons sensed perception of various strengths of... Problem 95E Problem 96E format_list_bulleted