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
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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→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:→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,
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
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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