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1. Let f(x) = - sin(2x) and g(x) = cos(x). %3D (a) Find the amplitude and period for f(x) and g(x) respectively. (b) Find five special points (zeros and turnings) for each of the two functions f(x) and g(x). (c) On the same coordinate-plane, sketch and label the graphs of the y = f(x) and y = g(x) on the interval of 0sxs 2T. (d) Locate the intersections on the graph in (c) and then solve the equation f(x) = g(x) for exact values of x in the interval 0 s x S 2m algebraically using trigonometric identities and properties of the functions. %3D

1. Let f(x) = - sin(2x) and g(x) = cos(x). %3D (a) Find the amplitude and period for f(x) and g(x) respectively. (b) Find five special points (zeros and turnings) for each of the two functions f(x) and g(x). (c) On the same coordinate-plane, sketch and label the graphs of the y = f(x) and y = g(x) on the interval of 0sxs 2T. (d) Locate the intersections on the graph in (c) and then solve the equation f(x) = g(x) for exact values of x in the interval 0 s x S 2m algebraically using trigonometric identities and properties of the functions. %3D

Calculus: Early Transcendentals
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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1. Let f(x) = - sin(2x) and g(x) = cos(x). (a) Find the amplitude and period for f(x) and g(x) respectively. (b) Find five special points (zeros and turnings) for each of the two functions f(x) and g(x). (c) On the same coordinate-plane, sketch and label the graphs of the y = f(x) and y = g(x) on the interval of 0 sxs 21. (d) Locate the intersections on the graph in (c) and then solve the equation f(x) = g(x) for exact values of x in the interval 0 s xs 2m algebraically using trigonometric identities and properties of the functions.
Transcribed Image Text:1. Let f(x) = - sin(2x) and g(x) = cos(x). (a) Find the amplitude and period for f(x) and g(x) respectively. (b) Find five special points (zeros and turnings) for each of the two functions f(x) and g(x). (c) On the same coordinate-plane, sketch and label the graphs of the y = f(x) and y = g(x) on the interval of 0 sxs 21. (d) Locate the intersections on the graph in (c) and then solve the equation f(x) = g(x) for exact values of x in the interval 0 s xs 2m algebraically using trigonometric identities and properties of the functions.
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