31. Graph the lower half of the circle defined by the equation x? + 2x = 4 + 4y – y². 32. Graph the upper branch of the hyperbola y? – 16x? = 1. 33. Graph four periods of the function f(x) = – tan 2r. 34. Graph two periods of the function f(x) = 3cot+ 1. 35. Graph the function f(x) = sin 2x + cos 3x. 36. Graph the function f(x) = sin²x.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Use graphing software to graph the functions specified in Exercises 31–36. Select a viewing window that reveals the key features of the function.

31. Graph the lower half of the circle defined by the equation
x? + 2x = 4 + 4y – y².
32. Graph the upper branch of the hyperbola y? – 16x? = 1.
33. Graph four periods of the function f(x) = – tan 2r.
34. Graph two periods of the function f(x) = 3cot+ 1.
35. Graph the function f(x) = sin 2x + cos 3x.
36. Graph the function f(x) = sin²x.
Transcribed Image Text:31. Graph the lower half of the circle defined by the equation x? + 2x = 4 + 4y – y². 32. Graph the upper branch of the hyperbola y? – 16x? = 1. 33. Graph four periods of the function f(x) = – tan 2r. 34. Graph two periods of the function f(x) = 3cot+ 1. 35. Graph the function f(x) = sin 2x + cos 3x. 36. Graph the function f(x) = sin²x.
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