CalculusVolume2-SASG-07-03
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OpenStax Calculus Volume 2
Student Answer and Solution Guide
Chapter 7
Parametric Equations and Polar Coordinates 7.3 Polar Coordinates
Section Exercises
In the following exercises, plot the point whose polar coordinates are given by first constructing the angle and then marking off the distance r
along the ray. 125.
Answer:
127.
Answer:
OpenStax Calculus Volume 2
Student Answer and Solution Guide
129.
Answer:
131.
Answer:
OpenStax Calculus Volume 2
Student Answer and Solution Guide
For the following exercises, consider the polar graph below. Give two sets of polar coordinates for each point. 133.
Coordinates of point B
.
Answer: 135.
Coordinates of point D
.
Answer: For the following exercises, the rectangular coordinates of a point are given. Find two sets of polar coordinates for the point in Round to three decimal places. 137.
(3,–4)
Answer: 139.
Answer:
OpenStax Calculus Volume 2
Student Answer and Solution Guide
141.
Answer: For the following exercises, find rectangular coordinates for the given point in polar coordinates. 143.
Answer: 145.
Answer: 147.
Answer: For the following exercises, determine whether the graphs of the polar equation are symmetric with respect to the
-axis, the
-axis, or the origin. 149.
Answer: Symmetry with respect to the x
-axis, y
-axis, and origin.
151.
Answer: Symmetric with respect to x
-axis only.
153.
Answer: Symmetry with respect to x
-axis only.
OpenStax Calculus Volume 2
Student Answer and Solution Guide
For the following exercises, describe the graph of each polar equation. Confirm each description by converting into a rectangular equation. 155.
Answer: Line 157.
Answer: For the following exercises, convert the rectangular equation to polar form and sketch its graph.
159.
Answer: Hyperbola; polar form or For the following exercises, convert the rectangular equation to polar form and sketch its graph.
161.
Answer:
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