Evaluate the following integrals: O •(Cartesian to Polar) Given the Cartesian coordinate, find FOUR Sets of polar coordinates for the point for -2 11 çə≤ 211 a) (3,3) b) (3,-2) c.) (-3,√3) d.) (-352, -3√√₂)
Evaluate the following integrals: O •(Cartesian to Polar) Given the Cartesian coordinate, find FOUR Sets of polar coordinates for the point for -2 11 çə≤ 211 a) (3,3) b) (3,-2) c.) (-3,√3) d.) (-352, -3√√₂)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Answer letter B. sample format included in another picture.

Transcribed Image Text:→Step 1
Given:
⇒ (-3,√3),.
,-2π ≤0 ≤2π
Step 2
Converting the given cartesian coordinate into polar coordinate:
⇒ (-3,√3)
Finding :
⇒r=
√√x² + y²
⇒ r = √(-3)² + (√3)²
⇒r=√√9+3
⇒r=√√12
⇒ r = 2√3
Finding :
⇒0= tan
⇒0-tan
⇒0=tan
2π
2π 5π
3
2n-6
5-67 2 5
⇒0=
3
3
3 3
47
п 2п 5п
⇒8=
3
3 3 3
→Step 4
So,
For set of polar coordinates are given by:
⇒ (2√5,-4)
→>>
= (2√3,²)
→
⇒ (2√3, 5)
→Step 3
(9)
√√√3
-553)
√3
5T
-2, 27,

Transcribed Image Text:Evaluate the following integrals:
O
(Cartesian to Polar) Civen the cartesian coordinate, find
of polar coordinates for the point for -21 ≤O≤ 211
a.) (3,3)
bi) (3,-2)
c.) (-3,√3)
d.) (-3√2, -3√2)
find Four Sets
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