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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.3: Multiplying Monomials

Problem 1WE

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Question

Use a polar coordinate system to plot each point with the given polar coordinates. Then find another representation (r, θ) of this point in which
a. r > 0, 2 π < θ < 4 π.
b. r < 0, 0 <θ < 2 π.
c. r > 0, -2 π < θ < 0.

Transcribed Image Text:(* 2

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.

Expert Solution

Given,

$(r, θ) = (4, \frac{π}{2})$

The point on the polar coordinate system is,

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