6. Convert from cylindrical to rectangular coordinates (a) (4, π/6, 3) (b) (8, 3π/4, -2) (c) (5, 0, 4) (d) (7, t, -9) 7. Convert from rectangular to spherical coordinates (a) (1,√3,-2) (b) (1,-1, √√2) (c) (0, 3√3, 3) (d) (-5√3, 5, 0) 8. Convert from spherical to rectangular coordinates (a) (5, π/6, π/4) (b) (7, 0, π/2) (c) (1, л, 0) (d) (2, 3π/2, π/2) 9. Convert from cylindrical to spherical coordinates (a) (√3, π/6, 3) (b) (1, π/4, -1) (c) (2, 3π/4, 0) (d) (6, 1, -2√3) 10. Convert from spherical to cylindrical coordinates (a) (5, π/4, 2π/3) (b) (1,7π/6, л) (c) (3, 0, 0) (d) (4 7/6 π/2)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. Convert from cylindrical to rectangular coordinates
(a) (4, π/6, 3)
(b) (8, 3π/4, -2)
(c) (5, 0, 4)
(d) (7, t, -9)
7. Convert from rectangular to spherical coordinates
(a) (1,√3,-2)
(b) (1,-1, √√2)
(c) (0, 3√3, 3)
(d) (-5√3, 5, 0)
8. Convert from spherical to rectangular coordinates
(a) (5, π/6, π/4)
(b) (7, 0, π/2)
(c) (1, π, 0)
(d) (2, 3π/2, π/2)
9. Convert from cylindrical to spherical coordinates
(a) (√3, π/6, 3)
(b) (1, π/4, -1)
(c) (2, 3π/4, 0)
(d) (6, 1, -2√3)
10. Convert from spherical to cylindrical coordinates
(a) (5, π/4, 2π/3)
(b) (1,7π/6, л)
(c) (3, 0, 0)
(d) (4, π/6, π/2)
Transcribed Image Text:6. Convert from cylindrical to rectangular coordinates (a) (4, π/6, 3) (b) (8, 3π/4, -2) (c) (5, 0, 4) (d) (7, t, -9) 7. Convert from rectangular to spherical coordinates (a) (1,√3,-2) (b) (1,-1, √√2) (c) (0, 3√3, 3) (d) (-5√3, 5, 0) 8. Convert from spherical to rectangular coordinates (a) (5, π/6, π/4) (b) (7, 0, π/2) (c) (1, π, 0) (d) (2, 3π/2, π/2) 9. Convert from cylindrical to spherical coordinates (a) (√3, π/6, 3) (b) (1, π/4, -1) (c) (2, 3π/4, 0) (d) (6, 1, -2√3) 10. Convert from spherical to cylindrical coordinates (a) (5, π/4, 2π/3) (b) (1,7π/6, л) (c) (3, 0, 0) (d) (4, π/6, π/2)
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