Fill in the blanks for the conversion formulas in Exercises 7–12. 7. To convert from rectangular to cylindrical coordinates:r = _________ , θ = __________, z =_________________ . 8. To convert from cylindrical to rectangular coordinates:x = _____________ , y = ____________, z = ______________.9. To convert from rectangular to spherical coordinates:ρ = ________________ , θ = ______________, φ = _____________.10. To convert from spherical to rectangular coordinates:x = ____________, y = ___________, z = __________________ .11. To convert from cylindrical to spherical coordinates:ρ = ___________, θ = ______________ , φ = ________________.12. To convert from spherical to cylindrical coordinates:r = ____________ , θ = ____________, z = ____________.

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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Fill in the blanks for the conversion formulas in Exercises 7–12.

7. To convert from rectangular to cylindrical coordinates:
r = _________ , θ = __________, z =_________________ .

8. To convert from cylindrical to rectangular coordinates:
x = _____________ , y = ____________, z = ______________.
9. To convert from rectangular to spherical coordinates:
ρ = ________________ , θ = ______________, φ = _____________.
10. To convert from spherical to rectangular coordinates:
x = ____________, y = ___________, z = __________________ .
11. To convert from cylindrical to spherical coordinates:
ρ = ___________, θ = ______________ , φ = ________________.
12. To convert from spherical to cylindrical coordinates:
r = ____________ , θ = ____________, z = ____________.

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