(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 ( 3 , π 4 , 5 ) . Obtain the x coordinates as follows. x = 3 cos π 4 = 3 ⋅ 1 2 = 3 2 Obtain the y coordinates as follows (b) To determine The rectangular coordinates of the points if cylindrical coordinates are ( 2 , π 2 , 3 ) .

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Chapter 29.2, Problem 31E

(a)

To determine

The rectangular coordinates of the points if cylindrical coordinates are (3,π4,5).

(b)

To determine

The rectangular coordinates of the points if cylindrical coordinates are (2,π2,3).

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Chapter 29.2, Problem 30E

Chapter 29.2, Problem 32E

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Chapter 29 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

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 ( 3 , π 4 , 5 ) .

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The rectangular coordinates of the points if cylindrical coordinates are (3,π4,5).

The rectangular coordinates of the points if cylindrical coordinates are (2,π2,3).

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Chapter 29 Solutions