Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ 𝜃 ≤ 2𝜋.) (a) (−4, 4, 4) (b) (−6, 6 3 , 2)
Added by Miriam H.
Step 1
\( r = \sqrt{x^2 + y^2} \) 2. \( \theta = \tan^{-1}\left(\frac{y}{x}\right) \) (adjusting for the correct quadrant) 3. \( z = z \) (remains the same) Now, let's apply these steps to each point. (a) \((-4, 4, 4)\) ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Sri K and 91 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 cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.) a) (-4, 4, 4) b) (-2, 2√3, 9) c) (9√3, 9, -4) d) (4, -3, 3)
Sri K.
Change from rectangular to cylindrical coordinates: (Let r >= 0 and 0 <= theta <= 2pi.) (a) (4sqrt(3), 4, -5) (b) (4, -3, 1)
Zhumagali S.
Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.) (a) (7√3, 7, -1) (14, 0.5236, -1) (b) (8, -6, 4) (10, -0.6435, 4)
Adi S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD