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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates.

44. r2θ = 1

To determine

To sketch: The curves for the polar equation r2θ=1 and its Cartesian coordinates.

Explanation

Given:

The polar equation is r2θ=1.

Calculation:

Substitute (0.0873) for θ in equation r=1θ,

r2=1(0.0873)=10.0873=3.38

Substitute (0.0873) for θ in equation r=1θ,

r2=1(0.0873)=10.0873=3.38

For the polar equation r=1θ the values for the Cartesian coordinates curve is tabulated below.

θ

(degrees)

θ

(rad)

r
50.0873055563.384379532
350.6111388891.279175226
651.1349722220.938657995
951.6588055560.776429914
1252.1826388890.676875906

For the polar equation r=1θ the values for the Cartesian coordinates curve is tabulated below.

θ

(degrees)

θ

(rad)

r
50

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