Problem 1MP: Matched Problem 1 Find f(x) for (A) f(x) = 4ex + 8x2 + 7x 14 (B) f(x) = x7 x5 + e3 x + ex Problem 2MP: Matched Problem 2 Find y for (A) y = 10x3 100 ln x (B) y = ln x5 + ex ln e2 Problem 3MP: Matched Problem 3 Find g(x) for (A) g(x) = x10 + 10x (B) g(x) = log2 x 6 log5 x Problem 4MP: Matched Problem 4 The store in Example 4 also sells a reversible fleece blanket. If the pricedemand... Problem 5MP: Matched Problem 5 An investment of 5,000 earns interest at an annual rate of 6% compounded... Problem 6MP Problem 1ED: Explore and Discuss 1 Complete Table 1. Do your calculations make it reasonable to conclude that... Problem 2ED: Explore and Discuss 2 (A) The graphs of f(x) = log2 x and g(x) = log4 x are shown in Figure 2. Which... Problem 1E Problem 2E Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E: In Problems 1330, find f(x). 13. f(x) = 5ex + 3x + 1 Problem 10E: In Problems 1330, find f(x). 14. f(x) = 7ex 2x + 5 Problem 11E: In Problems 1330, find f(x). 15. f(x) = 2 ln x + x2 4 Problem 12E: In Problems 1330, find f(x). 16. f(x) = 6 ln x x3 + 2 Problem 13E: In Problems 1330, find f(x). 17. f(x) = x3 6ex Problem 14E: In Problems 1330, find f(x). 18. f(x) = 9ex + 2x2 Problem 15E: In Problems 1330, find f(x). 19. f(x) = ex + x ln x Problem 16E: In Problems 1330, find f(x). 20. f(x) = ln x + 2ex 3x2 Problem 17E: In Problems 1330, find f(x). 21. f(x) = ln x3 Problem 18E: In Problems 1330, find f(x). 22. f(x) = ln x8 Problem 19E: In Problems 1330, find f(x). 23. f(x) = 5x ln x5 Problem 20E: In Problems 1330, find f(x). 24. f(x) = 4 + ln x9 Problem 21E: In Problems 1330, find f(x). 25. f(x) = ln x2 + 4ex Problem 22E: In Problems 1330, find f(x). 26. f(x) = ln x10 + 2 ln x Problem 23E: In Problems 1330, find f(x). 27. f(x) = ex + xe Problem 24E: In Problems 1330, find f(x). 28. f(x) = 3xe 2ex Problem 25E: In Problems 1330, find f(x). 29. f(x) = xxe Problem 26E: In Problems 1330, find f(x). 30. f(x) = eex Problem 27E: In Problems 3138, find the equation of the line tangent to the graph of f at the indicated value of... Problem 28E: In Problems 3138, find the equation of the line tangent to the graph of f at the indicated value of... Problem 29E: In Problems 3138, find the equation of the line tangent to the graph of f at the indicated value of... Problem 30E: In Problems 3138, find the equation of the line tangent to the graph of f at the indicated value of... Problem 31E: In Problems 3138, find the equation of the line tangent to the graph of f at the indicated value of... Problem 32E: f(x) = 1 + ln x4; x = e Problem 33E: In Problems 3138, find the equation of the line tangent to the graph of f at the indicated value of... Problem 34E: In Problems 3138, find the equation of the line tangent to the graph of f at the indicated value of... Problem 35E: A student claims that the line tangent to the graph of f(x) = ex at x = 3 passes through the point... Problem 36E: Refer to Problem 39. Does the line tangent to the graph of f(x) = ex at x = 1 pass through the... Problem 37E: A student claims that the line tangent to the graph of g(x) = ln x at x = 3 passes through the... Problem 38E: Refer to Problem 41. Does the line tangent to the graph of f(x) = ln x at x = e pass through the... Problem 39E: In Problems 4346, first use appropriate properties of logarithms to rewrite f(x), and then find... Problem 40E: In Problems 4346, first use appropriate properties of logarithms to rewrite f(x), and then find... Problem 41E: In Problems 4346, first use appropriate properties of logarithms to rewrite f(x), and then find... Problem 42E: In Problems 4346, first use appropriate properties of logarithms to rewrite f(x), and then find... Problem 43E: In Problems 4758, find dydx for the indicated junction y. 47. y = log2 x Problem 44E: In Problems 4758, find dydx for the indicated junction y. 48. y = 3 log5 x Problem 45E: In Problems 4758, find dydx for the indicated junction y. 49. y = 3x Problem 46E: In Problems 4758, find dydx for the indicated junction y. 50. y = 4x Problem 47E: In Problems 4758, find dydx for the indicated junction y. 51. y = 2x log x Problem 48E: In Problems 4758, find dydx for the indicated junction y. 52. y = log x + 4x2 + 1 Problem 49E: In Problems 4758, find dydx for the indicated junction y. 53. y = 10 + x + 10x Problem 50E: In Problems 4758, find dydx for the indicated junction y. 54. y = x5 5x Problem 51E: In Problems 4758, find dydx for the indicated junction y. 55. y = 3 ln x + 2 log3 x Problem 52E: In Problems 4758, find dydx for the indicated junction y. 56. y = log2 x + 10 ln x Problem 53E: In Problems 4758, find dydx for the indicated junction y. 57. y = 2x + e2 Problem 54E: In Problems 4758, find dydx for the indicated junction y. 58. y = e3 3x Problem 55E Problem 56E Problem 57E: In Problems 5964, use graphical approximation methods to find the points of intersection of f(x) and... Problem 58E Problem 59E: In Problems 5964, use graphical approximation methods to find the points of intersection of f(x) and... Problem 60E: In Problems 5964, use graphical approximation methods to find the points of intersection of f(x) and... Problem 61E: Explain why limh0ech1h=c. Problem 62E Problem 63E: Salvage value. The estimated salvage value S (in dollars) of a company airplane after t years is... Problem 64E: Resale value. The estimated resale value R (in dollars) of a company car after t years is given by... Problem 65E: Bacterial growth. A single cholera bacterium divides every 0.5 hour to produce two complete cholera... Problem 66E Problem 67E: Blood pressure. An experiment was set up to find a relationship between weight and systolic blood... Problem 68E Problem 69E: Psychology: stimulus/response. In psychology, the WeberFechner law for the response to a stimulus is... Problem 70E: Psychology: learning. A mathematical model for the average of a group of people learning to type is... Problem 71E: Continuous compound interest. An investment of 10,000 earns interest at an annual rate of 7.5%... Problem 72E: Continuous compound interest. An investment of 25,000 earns interest at an annual rate of 8.4%... format_list_bulleted