Change from rectangular to spherical coordinates. (a) (8, 8, 0) (?, ?, ?) = ( ) (b) (12, -4?3, 8) (?, ?, ?) = ( )
Added by Michelle F.
Close
Step 1
Step 1: Recall the conversion formulas from rectangular to spherical coordinates: \( p = \sqrt{x^2 + y^2 + z^2} \) \( \theta = \arctan(\frac{y}{x}) \) \( \phi = \arccos(\frac{z}{p}) \) Show more…
Show all steps
Your feedback will help us improve your experience
Rukhmani Jain and 65 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Change from rectangular to spherical coordinates. (Let ρ ≥ 0, 0 ≤ θ ≤ 2π, and 0 ≤ φ ≤ π.) (a) (0, -8, 0) in spherical coordinates is (8, π/2, π). (b) (-1, 1, -√2) in spherical coordinates is (√6, 5π/4, π/4).
Adi S.
Change from rectangular to spherical coordinates. $$ (0,-2,0) \quad \text { (b) }(-1,1,-\sqrt{2}) $$
Multiple Integrals
Triple Integrals in Spherical Coordinates
Convert the point from spherical coordinates to rectangular coordinates. $$\left(12,-\frac{\pi}{4}, 0\right)$$
Vectors and the Geometry of Space
Cylindrical and Spherical Coordinate
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD