Comparison of polar equation of line r = 2 and 4 leaved rose r = sin 2 θ with its rectangular equation, the coordinate system in which the equation is simpler.

Question

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)

Answer 1

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 describe: Comparison of polar equation of line r=2 and 4 leaved rose r=sin2θ with its rectangular equation, the coordinate system in which the equation is simpler.

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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)

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 -

Convert the polar equation to rectangular form and identify the type of curve represented. r=-2 csc0 Part: 0 / 2 Part 1 of 2 The type of curve represented is a (Choose one)

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 describe: Comparison of polar equation of line r=2 and 4 leaved rose r=sin2θ with its rectangular equation, the coordinate system in which the equation is simpler.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook 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 describe: Comparison of polar equation of line r=2 and 4 leaved rose r=sin2θ with its rectangular equation, the coordinate system in which the equation is simpler.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook 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