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(4, –3) (| 4, )(r> 0) ) = 3+ 2n -) = (-4, – 3+ a )(r< 0) y y X -2.0 -1.5 -1.0 -0.5 1.0 -0.05 0.8 -0.10 0.6 -0.15 0.4 -0.20 0.2 -0.25 X 4 6. 8 y y X 4 6. 8. -8 -6 .4 -2 -1 -0.2 -2 -0.4 -3 -0.6 -4 -0.8 -5 -1.0

(4, –3) (| 4, )(r> 0) ) = 3+ 2n -) = (-4, – 3+ a )(r< 0) y y X -2.0 -1.5 -1.0 -0.5 1.0 -0.05 0.8 -0.10 0.6 -0.15 0.4 -0.20 0.2 -0.25 X 4 6. 8 y y X 4 6. 8. -8 -6 .4 -2 -1 -0.2 -2 -0.4 -3 -0.6 -4 -0.8 -5 -1.0

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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Which is the correct graph?

The image consists of mathematical annotations and four distinct graphs related to polar and Cartesian coordinates. **Mathematical Annotations:** 1. \((4, -3)\) is highlighted in red. 2. Two polar coordinate equations are given: - \(p = \left(4, -3 + 2\pi\right)\) with the condition \(r > 0\), marked as correct with a check mark. - \(p = \left(-4, -3 + \pi\right)\) with the condition \(r < 0\), also marked as correct with a check mark. **Graphs:** 1. **Top Left Graph:** - A Cartesian plot with horizontal \(x\)-axis ranging from 0 to 8 and vertical \(y\)-axis from 0.2 to 1.0. - The point plotted is around (4, 0.6). 2. **Top Right Graph:** - A Cartesian plot with negative \(x\)-values ranging from -2.0 to -0.5 on the vertical axis and negative \(y\)-values on the horizontal axis. - A point is plotted near (-1.25, -0.15). 3. **Bottom Left Graph:** - A Cartesian plot with negative \(x\)-values ranging from -8 to -2 on the vertical axis and negative \(y\)-values on the horizontal axis. - A point is plotted near (-6, -0.6). 4. **Bottom Right Graph:** - A Cartesian plot with positive \(x\)-values ranging from 2 to 8 and negative \(y\)-values around -6. - The point plotted is near (4, -3). The graphs depict various points in Cartesian coordinates possibly corresponding to polar coordinate transformations specified by the given equations.
Transcribed Image Text:The image consists of mathematical annotations and four distinct graphs related to polar and Cartesian coordinates. **Mathematical Annotations:** 1. \((4, -3)\) is highlighted in red. 2. Two polar coordinate equations are given: - \(p = \left(4, -3 + 2\pi\right)\) with the condition \(r > 0\), marked as correct with a check mark. - \(p = \left(-4, -3 + \pi\right)\) with the condition \(r < 0\), also marked as correct with a check mark. **Graphs:** 1. **Top Left Graph:** - A Cartesian plot with horizontal \(x\)-axis ranging from 0 to 8 and vertical \(y\)-axis from 0.2 to 1.0. - The point plotted is around (4, 0.6). 2. **Top Right Graph:** - A Cartesian plot with negative \(x\)-values ranging from -2.0 to -0.5 on the vertical axis and negative \(y\)-values on the horizontal axis. - A point is plotted near (-1.25, -0.15). 3. **Bottom Left Graph:** - A Cartesian plot with negative \(x\)-values ranging from -8 to -2 on the vertical axis and negative \(y\)-values on the horizontal axis. - A point is plotted near (-6, -0.6). 4. **Bottom Right Graph:** - A Cartesian plot with positive \(x\)-values ranging from 2 to 8 and negative \(y\)-values around -6. - The point plotted is near (4, -3). The graphs depict various points in Cartesian coordinates possibly corresponding to polar coordinate transformations specified by the given equations.
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