Question 1 ** A race-car starts at the 3 o'clock position and drives counterclockwise on a circular track with a radius 4 miles. (a). What distance (in miles) has the race-car traveled if the angle swept out by the O (b). race-car is: (i). 90°? (ii). 5 radians? miles hat is the angle measure (in radians) swept out if the race-car has traveled 4 counterclockwise? (c). What does it mean about the path of the car for the angle measure to be greater than 477 radians? Explain.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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 1A race-car starts at the 3 o'clock position and drives counterclockwise on a
circular track with a radius 4 miles.
(a).
What distance (in miles) has the race-car traveled if the angle swept out by the
O
race-car is:
(i). 90°?
(ii). 5 radians?
(b).
hat is the angle measure (in radians) swept out if the race-car has traveled 4
miles counterclockwise?
(c).
What does it mean about the path of the car for the angle measure to be greater
than 47 radians? Explain.
(d).
Sketch the graph representing the x- coordinate as a function of angle rotated,
8, in radians. Label points on the graph corresponding to
0=0, π/4, 7/2, 3/4, π, 57/4, 3/2,7π/4, 27.
Transcribed Image Text:Question 1A race-car starts at the 3 o'clock position and drives counterclockwise on a circular track with a radius 4 miles. (a). What distance (in miles) has the race-car traveled if the angle swept out by the O race-car is: (i). 90°? (ii). 5 radians? (b). hat is the angle measure (in radians) swept out if the race-car has traveled 4 miles counterclockwise? (c). What does it mean about the path of the car for the angle measure to be greater than 47 radians? Explain. (d). Sketch the graph representing the x- coordinate as a function of angle rotated, 8, in radians. Label points on the graph corresponding to 0=0, π/4, 7/2, 3/4, π, 57/4, 3/2,7π/4, 27.
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