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Question 10. A point moves anticlockwise around the circle x² + y² = 1 at a uniform speed of 2 m/s. a. Find an expression for the rate of change of its x-coordinate in terms of x, when the point is above the a- axis. (The units on the axes are metres.) - Workspace type draw upload I + Check answer b. Use your answer to part a to find the rate of change of the x-coordinate as it crosses the y-axis at P(0, 1). Why should this answer have been obvious without this formula?

Question 10. A point moves anticlockwise around the circle x² + y² = 1 at a uniform speed of 2 m/s. a. Find an expression for the rate of change of its x-coordinate in terms of x, when the point is above the a- axis. (The units on the axes are metres.) - Workspace type draw upload I + Check answer b. Use your answer to part a to find the rate of change of the x-coordinate as it crosses the y-axis at P(0, 1). Why should this answer have been obvious without this formula?

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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Question 10. A point moves anticlockwise around the circle x² + y² = 1 at a uniform speed of 2 m/s. a. Find an expression for the rate of change of its x-coordinate in terms of x, when the point is above the x- axis. (The units on the axes are metres.) - Workspace type draw upload I + Check answ b. Use your answer to part a to find the rate of change of the x-coordinate as it crosses the y-axis at P(0, 1). Why should this answer have been obvious without this formula?
Transcribed Image Text:Question 10. A point moves anticlockwise around the circle x² + y² = 1 at a uniform speed of 2 m/s. a. Find an expression for the rate of change of its x-coordinate in terms of x, when the point is above the x- axis. (The units on the axes are metres.) - Workspace type draw upload I + Check answ b. Use your answer to part a to find the rate of change of the x-coordinate as it crosses the y-axis at P(0, 1). Why should this answer have been obvious without this formula?
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