(a) Explanation Result used: The relationships between the rectangular coordinates and the cylindrical coordinates are follows: x = r cos θ , y = r sin θ , z = z , r = x 2 + y 2 and tan θ = y x Calculation: The given cylindrical coordinate of the point is ( 4 , π 3 , 2 ) . Obtain the x coordinates as follows. x = 4 cos π 3 = 4 ⋅ 1 2 = 2 Obtain the y coordinates as follows (b) To determine The rectangular coordinates of the points if cylindrical coordinates are ( 5 , π , − 4 ) .

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 29.2, Problem 32E

(a)

To determine

The rectangular coordinates of the points if cylindrical coordinates are (4,π3,2).

(b)

To determine

The rectangular coordinates of the points if cylindrical coordinates are (5,π,−4).

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Chapter 29.2, Problem 31E

Chapter 29.2, Problem 33E

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Chapter 29 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

Ch. 29.1 - Practice Exercise If f(x, y) = 4xy2 – 3x2y, find...Ch. 29.1 - Prob. 1E Ch. 29.1 - Prob. 2E Ch. 29.1 - Prob. 3E Ch. 29.1 - Prob. 4E Ch. 29.1 - Prob. 5E Ch. 29.1 - Prob. 6E Ch. 29.1 - Prob. 7E Ch. 29.1 - Prob. 8E Ch. 29.1 - Prob. 9E

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The rectangular coordinates of the points if cylindrical coordinates are ( 4 , π 3 , 2 ) .

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The rectangular coordinates of the points if cylindrical coordinates are (4,π3,2).

The rectangular coordinates of the points if cylindrical coordinates are (5,π,−4).

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Chapter 29 Solutions