Suppose a curve is given by the parametric equations x = f(t), y= g(t), where the range of f is [3, 8] and the range of g is [-4, 9]. What can you say about the curve? You must select all correct choices to get full credit on this problem. DA. The curve must lie outside the rectangle [3, 8] by [-4, 9]. OB. The curve is the line with endpoints (3, -4) and (8, 9). OC. The curve is a circle with center (3, -4) and radius 9. OD. Nothing can be said about the curve. DE. The curve is completely contained in the rectangle [3, 8] by [-4, 9]. OF. The curve must lie inside a circle with center (3, -4) and radius 0.5.
Suppose a curve is given by the parametric equations x = f(t), y= g(t), where the range of f is [3, 8] and the range of g is [-4, 9]. What can you say about the curve? You must select all correct choices to get full credit on this problem. DA. The curve must lie outside the rectangle [3, 8] by [-4, 9]. OB. The curve is the line with endpoints (3, -4) and (8, 9). OC. The curve is a circle with center (3, -4) and radius 9. OD. Nothing can be said about the curve. DE. The curve is completely contained in the rectangle [3, 8] by [-4, 9]. OF. The curve must lie inside a circle with center (3, -4) and radius 0.5.
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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![Suppose a curve is given by the parametric equations a = f(t), y = g(t), where the range of f is [3, 8] and the range of g is [-4, 9]. What can you say about the curve? You must select all correct
choices to get full credit on this problem.
DA. The curve must lie outside the rectangle [3, 8] by [-4, 9].
OB. The curve is the line with endpoints (3, -4) and (8, 9).
OC. The curve is a circle with center (3, -4) and radius 9
OD. Nothing can be said about the curve.
DE. The curve is completely contained in the rectangle [3, 8] by [-4, 9].
OF. The curve must lie inside a circle with center (3, -4) and radius 0.5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b12454d-3d87-4e03-812b-30094a11bb49%2Fec92483e-aa86-4a8b-ac60-ecf55cd4474f%2Fi26z318_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a curve is given by the parametric equations a = f(t), y = g(t), where the range of f is [3, 8] and the range of g is [-4, 9]. What can you say about the curve? You must select all correct
choices to get full credit on this problem.
DA. The curve must lie outside the rectangle [3, 8] by [-4, 9].
OB. The curve is the line with endpoints (3, -4) and (8, 9).
OC. The curve is a circle with center (3, -4) and radius 9
OD. Nothing can be said about the curve.
DE. The curve is completely contained in the rectangle [3, 8] by [-4, 9].
OF. The curve must lie inside a circle with center (3, -4) and radius 0.5.
Transcribed Image Text:Each set of parametric equations below describes the path of a particle that moves along the circle r² + (y – 1)2 = 4 in some manner. Match each set of parametric equations to the path that it
describes.
A. Once around clockwise, starting at (2, 1).
B. Three times around counterclockwise, starting at (2, 1).
C. Halfway around counterclockwise, starting at (0, 3).
1. x = 2 cos(t), y=1+2sin(t), 0<t< 67
2. a = 2 cos(t), y=1– 2 sin(t), 0 <t< 2n
3. a = 2 cos(t), y =1+2 sin(t), 7/2 <t< 3n/2
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