Question

In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for the point, one pair satisfying $r \geq 0$ and $0 \leq \theta<2 \pi,$ and the second pair satisfying $r \geq 0$ and $-2 \pi<\theta \leq 0$. $$ \begin{array}{llll}{\text { (a) }(-5,0)} & {\text { (b) }(2 \sqrt{3},-2)} & {\text { (c) }(0,-2)} \\ {\text { (d) }(-8,-8)} & {\text { (e) }(-3,3 \sqrt{3})} & {\text { (f) }(1,1)}\end{array} $$

          In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for the point, one pair satisfying $r \geq 0$ and $0 \leq \theta<2 \pi,$ and the second pair satisfying $r \geq 0$ and $-2 \pi<\theta \leq 0$.
$$
\begin{array}{llll}{\text { (a) }(-5,0)} & {\text { (b) }(2 \sqrt{3},-2)} & {\text { (c) }(0,-2)} \\ {\text { (d) }(-8,-8)} & {\text { (e) }(-3,3 \sqrt{3})} & {\text { (f) }(1,1)}\end{array}
$$

Added by Pilar G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

10/31/2022

Step 1

Step 1:** For point (a) $(-5,0)$: $r = \sqrt{(-5)^2 + 0^2} = 5$ ** Show more…

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In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for the point, one pair satisfying $r \geq 0$ and $0 \leq \theta<2 \pi,$ and the second pair satisfying $r \geq 0$ and $-2 \pi<\theta \leq 0$. $$ \begin{array}{llll}{\text { (a) }(-5,0)} & {\text { (b) }(2 \sqrt{3},-2)} & {\text { (c) }(0,-2)} \\ {\text { (d) }(-8,-8)} & {\text { (e) }(-3,3 \sqrt{3})} & {\text { (f) }(1,1)}\end{array} $$