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= 1. The graphs of y = 1/x, y = 1/x² and the functions f(x), g(x), h(x), and k(x) are shown in Figure 4.1. (a) Is the area between y = 1/x and y = 1/x² on the interval from x = 1 to ∞ finite or infinite? Explain. (b) Using the graph, decide whether the integral of each of the functions f(x), g(x), h(x) and k(x) on the interval from x = 1 to ∞ converges, diverges, or whether it is impossible to tell. f(x) 1 h(x) Figure 4.1 k(x) 1/x 1/x²

= 1. The graphs of y = 1/x, y = 1/x² and the functions f(x), g(x), h(x), and k(x) are shown in Figure 4.1. (a) Is the area between y = 1/x and y = 1/x² on the interval from x = 1 to ∞ finite or infinite? Explain. (b) Using the graph, decide whether the integral of each of the functions f(x), g(x), h(x) and k(x) on the interval from x = 1 to ∞ converges, diverges, or whether it is impossible to tell. f(x) 1 h(x) Figure 4.1 k(x) 1/x 1/x²

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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1. The graphs of y = 1/x, y = 1/x² and the functions f(x), g(x), h(x), and k(x) are shown in Figure 4.1. (a) Is the area between y = 1/x and y = 1/x² on the interval from x = 1 to ∞ finite or infinite? Explain. (b) Using the graph, decide whether the integral of each of the functions f(x), g(x), h(x) and k(x) on the interval from x = 1 to ∞ converges, diverges, or whether it is impossible to tell. f(x) 1 h(x) Figure 4.1 k(x) g(x) 1/x 1/x²
Transcribed Image Text:1. The graphs of y = 1/x, y = 1/x² and the functions f(x), g(x), h(x), and k(x) are shown in Figure 4.1. (a) Is the area between y = 1/x and y = 1/x² on the interval from x = 1 to ∞ finite or infinite? Explain. (b) Using the graph, decide whether the integral of each of the functions f(x), g(x), h(x) and k(x) on the interval from x = 1 to ∞ converges, diverges, or whether it is impossible to tell. f(x) 1 h(x) Figure 4.1 k(x) g(x) 1/x 1/x²
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