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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 68RE

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Explain your sketch

2) Sketch the graph of the curve with the polar equation: r=2– sin(20).

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10. Sketch the curve of the polar equation r = 2 sin 0. Find a rectangular equation for this curve.
Find the equation in polar coordinates of the line through the origin with slope 1/2.
To graph a polar equation r = f(0), we plot all the points (r, 0) that the equation.
Which of the following represents the polar equation r = (tan²0)(csc) as a rectangular equation?
Graph the curves having the following polar equations. (a) r² = sin(20). Explain how the curve relates to the lemniscate of Bernoulli. (b) r = sin 30 and r = sin(40). Explain why the number of "petals" in the two curves are so different. (c) r = 1 + cos ("cardioid") and r = 1+2 cos(0) ("limaçon") Discuss the similar- ities and differences of the curves. For what values of does the limaçon intersect itself?
Sketch the curve with the given polar equation, r = cos(2Theta).
A curve with polar equation r = 42 6 sin(0) + 31 cos(0) y = has Cartesian equation:
Sketch the graphs of (a) r = 1. (b) θ = π /4 in polar coordinates.
Consider the polar equation r = 4 cos 20. (a) Sketch the graph of the polar equation. Please show work by either creating a table or by graphing r = 4 cos 20 in Cartesian coordinates. (b) Find the slope of the tangent line at 0 = 1/3
Find a Cartesian equation for the curve given by the polar equation T = 4 sin 0. 73°F 1. (x - 2)2 + y² + 4 = 0 2. x² + (y-2)² = 4 3. (x - 2)² + y² = 4 4. (x + 2)² + y² = 4 5. x² + (y + 2)² + 4 = 0 6. x² + (y-2)² + 4 = 0 7. (x + 2)² + y² + 4 = 0 8. x² + (y + 2)² = 4

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