To compare: The polar equation of the circle r = 2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r = sin 2 θ .

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Answer 1

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 8.2, Problem 66E

To determine

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

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Identify which quadrants in the polar coordinate system the following points lie. 1. (5,9π/7) 2. (-5, 6π/7) 3. (-5,3π/7) 4. (5,-4π/7)

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slicer misses its center by one inch. What is the radius of the circula 217. The point P = (-5, 8) is in the second quadrant. You are used to describing it by location of P by using a different pair of coordinates, P = (r; 0), called polar coordinates. The distance from the origin is r and is an angle in standard position. Calculate polar using the rectangular coordinates -5 and 8. It is also possible to accurately describe the coordinates for P, and notice that there is more than one correct answer. ol [cos 72 - sin 72 and explain why -

Answer 2

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 8.2, Problem 66E

To determine

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 8.2, Problem 66E

To determine

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 8.2, Problem 66E

To determine

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 8.2, Problem 66E

To determine

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

Answer 6

Chapter 8.2, Problem 66E

To determine

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

Answer 7

Chapter 8.2, Problem 66E

To determine

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 8.1 - CONCEPTS We can describe the location of a point...Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - SKILLS 5-10 Plotting Points in Polar Coordinates...Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

To compare: The polar equation of the circle r = 2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r = sin 2 θ .

Solution Summary: The author compares the polar equation of the circle r=2 with its equation in rectangular coordinates.

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

Want to see the full answer?

Chapter 8 Solutions

To compare: The polar equation of the circle r = 2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r = sin 2 θ .

Solution Summary: The author compares the polar equation of the circle r=2 with its equation in rectangular coordinates.

To compare: The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.

Want to see the full answer?

Chapter 8 Solutions

To compare:

The polar equation of the circle r=2 with its equation in rectangular coordinates, find the coordinate system in which the equation is simpler, and similarly find for r=sin2θ.