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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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Section
BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Write the equations in cylindrical coordinates.

9. (a) x2 – x + y2 + z2 = 1

(b) z = x2 – y2

(a)

To determine

To rewrite: The given equation in the cylindrical coordinates.

Explanation

Given:

The equation in rectangular coordinates is, x2x+y2+z2=1 .

Formula used:

The cylindrical coordinates (r,θ,z) corresponding to the rectangular coordinates (x,y,z) is,

r=x2+y2θ=tan1(yx)z=z

Calculat

(b)

To determine

To rewrite: The given equation in the cylindrical coordinates.

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Chapter 15 Solutions

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