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The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand on the same clock and has a length of 9 inches. Assume that the position of the minute hand is at the 15-minute mark. a. Write a function f to represent the tip of the minute hand's horizontal distance (in inches) to the right of the center of the clock in terms of the number of radians swept out by the hour hand, 0. (Type "theta" for 0.) f(theta)=cos(60theta) Preview 其 b. What is the period of the function f? 4pi 其 Preview c. Write a function g to represent the tip of the hour hand's horizontal distance (in inches) to the right of the center of the clock in terms of the number of radians swept out by the hour hand, x. The hour hand is 7 inches long, rotates counter-clockwise, and is also at the 3 o'clock position. 其 Preview d. What is the period of the function g? Preview

The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand on the same clock and has a length of 9 inches. Assume that the position of the minute hand is at the 15-minute mark. a. Write a function f to represent the tip of the minute hand's horizontal distance (in inches) to the right of the center of the clock in terms of the number of radians swept out by the hour hand, 0. (Type "theta" for 0.) f(theta)=cos(60theta) Preview 其 b. What is the period of the function f? 4pi 其 Preview c. Write a function g to represent the tip of the hour hand's horizontal distance (in inches) to the right of the center of the clock in terms of the number of radians swept out by the hour hand, x. The hour hand is 7 inches long, rotates counter-clockwise, and is also at the 3 o'clock position. 其 Preview d. What is the period of the function g? Preview

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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The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand on the same clock and has a length of 9 inches. Assume that the position of the minute hand is at the 15-minute mark. a. Write a function f to represent the tip of the minute hand's horizontal distance (in inches) to the right of the center of the clock in terms of the number of radians swept out by the hour hand, 0. (Type "theta" for 0.) f(theta)=cos(60theta) Preview 其 b. What is the period of the function f? 4pi 其 Preview c. Write a function g to represent the tip of the hour hand's horizontal distance (in inches) to the right of the center of the clock in terms of the number of radians swept out by the hour hand, x. The hour hand is 7 inches long, rotates counter-clockwise, and is also at the 3 o'clock position. 其 Preview d. What is the period of the function g? Preview e. Select the answer that best explains why the period of function f is smaller than the period for of function g. The hour hand makes a full rotation 27 times faster than the minute hand. O The minute hand makes a full rotation 30 times faster than the hour hand. The minute hand makes a full rotation 60 times faster than the hour hand. O The minute hand makes a full rotation 27T times faster than the hour hand. The hour hand makes a full rotation 60 times faster than the minute hand.
Transcribed Image Text:The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand on the same clock and has a length of 9 inches. Assume that the position of the minute hand is at the 15-minute mark. a. Write a function f to represent the tip of the minute hand's horizontal distance (in inches) to the right of the center of the clock in terms of the number of radians swept out by the hour hand, 0. (Type "theta" for 0.) f(theta)=cos(60theta) Preview 其 b. What is the period of the function f? 4pi 其 Preview c. Write a function g to represent the tip of the hour hand's horizontal distance (in inches) to the right of the center of the clock in terms of the number of radians swept out by the hour hand, x. The hour hand is 7 inches long, rotates counter-clockwise, and is also at the 3 o'clock position. 其 Preview d. What is the period of the function g? Preview e. Select the answer that best explains why the period of function f is smaller than the period for of function g. The hour hand makes a full rotation 27 times faster than the minute hand. O The minute hand makes a full rotation 30 times faster than the hour hand. The minute hand makes a full rotation 60 times faster than the hour hand. O The minute hand makes a full rotation 27T times faster than the hour hand. The hour hand makes a full rotation 60 times faster than the minute hand.
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