65. a. Graph y = sin x and the curves y = In(a + sin x) for a - 2, 4, 8, 20, and 50 together for 0 sxs 23. b. Why do the curves flatten as a increases? (Hint: Find an a-dependent upper bound for |y'|.)

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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65. a. Graph y = sin x and the curves y = In(a + sin x) for
a - 2, 4, 8, 20, and 50 together for 0 sxs 23.
b. Why do the curves flatten as a increases? (Hint: Find an
a-dependent upper bound for |y'|.)
Transcribed Image Text:65. a. Graph y = sin x and the curves y = In(a + sin x) for a - 2, 4, 8, 20, and 50 together for 0 sxs 23. b. Why do the curves flatten as a increases? (Hint: Find an a-dependent upper bound for |y'|.)
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