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2 Write both a sine function and a cosine function to represent the graph shown here. Explain or show work to support both answers.

2 Write both a sine function and a cosine function to represent the graph shown here. Explain or show work to support both answers.

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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2. Write both a sine function and a cosine function to represent the graph shown here. Explain or show work to support both answers. 1. For the function y = -3 cos-(x + 3) –1 Describe all properties and sketch a graph. 3. As you stop at a traffic light, a pebble becomes stuck in the tire treads. When you start off, the distance of the pebble from the pavement varies sinusoidally with the distance you have traveled. Assume that the diameter of the tire is 24 inches. a. Sketch a graph of this function. 12 b. Write an equation of this function. c. Predict the distance from the pavement when you have gone 15 inches 4. What is the equation for the function shown here? 5. Sketch a well-labeled graph of the function along with its corresponding sine or cosine function. y = -10 csc+ 10 2 6. Mia is on the street looking at the top of a nearby building. The line-of-sight distance between Mia and the top of the building is 110 feet. If d represents the horizontal distance between Mia and the building, write an expression in terms of d to represent the angle of elevation e from Mia to the top of the building 2
Transcribed Image Text:2. Write both a sine function and a cosine function to represent the graph shown here. Explain or show work to support both answers. 1. For the function y = -3 cos-(x + 3) –1 Describe all properties and sketch a graph. 3. As you stop at a traffic light, a pebble becomes stuck in the tire treads. When you start off, the distance of the pebble from the pavement varies sinusoidally with the distance you have traveled. Assume that the diameter of the tire is 24 inches. a. Sketch a graph of this function. 12 b. Write an equation of this function. c. Predict the distance from the pavement when you have gone 15 inches 4. What is the equation for the function shown here? 5. Sketch a well-labeled graph of the function along with its corresponding sine or cosine function. y = -10 csc+ 10 2 6. Mia is on the street looking at the top of a nearby building. The line-of-sight distance between Mia and the top of the building is 110 feet. If d represents the horizontal distance between Mia and the building, write an expression in terms of d to represent the angle of elevation e from Mia to the top of the building 2
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