(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 rectangular coordinate of the point is ( 3 , 1 , 7 ) . Obtain r as follows. r = ( 3 ) 2 + ( 1 ) 2 = 3 + 1 = 4 = 2 Obtain θ as follows (b) To determine The cylindrical coordinate if the rectangular coordinate of the point are ( 0 , 4 , 1 ) .

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Cylindrical Coordinate System

The distance from a selected reference axis, the direction from the axis relative to a selected reference direction, and also the distance from a selected reference plane perpendicular to the axis area unit, all accustom outline purpose positions in a cy…

Question

Chapter 29.2, Problem 33E

(a)

To determine

The cylindrical coordinate if the rectangular coordinate of the point are (3,1,7).

(b)

To determine

The cylindrical coordinate if the rectangular coordinate of the point are (0,4,1).

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Chapter 29.2, Problem 32E

Chapter 29.2, Problem 34E

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Let the universal set be whole numbers 1 through 20 inclusive. That is, U = {1, 2, 3, 4, . . ., 19, 20}. Let A, B, and C be subsets of U. Let A be the set of all prime numbers: A = {2, 3, 5, 7, 11, 13, 17, 19} Let B be the set of all odd numbers: B = {1,3,5,7, . . ., 17, 19} Let C be the set of all square numbers: C = {1,4,9,16}

Chapter 29 Solutions

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For 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 cylindrical coordinate if the rectangular coordinate of the point are ( 3 , 1 , 7 ) .

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The cylindrical coordinate if the rectangular coordinate of the point are (3,1,7).

The cylindrical coordinate if the rectangular coordinate of the point are (0,4,1).

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Chapter 29 Solutions