Evaluate U 2r2 dV where E = {(8,9,2) | 0 <=<l, < y < 21,0 < 2<2+ 3y}
Added by Kimberly R.
Close
Step 1
We have: 0 <= x <= 1 0 <= y <= 21 0 <= z <= 2 + 3y Now, we can set up the triple integral: $$\int_{0}^{1} \int_{0}^{21} \int_{0}^{2+3y} 2r^2 dV$$ Since we are given Cartesian coordinates, we can convert the integral to cylindrical coordinates. Recall that $x = Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 69 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
Evaluate ∡∡∡_E 2xz dV where E = {(x, y, z) | 1 ≤ x ≤ 2, x ≤ y ≤ 2x, 0 ≤ z ≤ x + 3y}
Madhur L.
Evaluate the Integral of B with respect to V over the region B = {(x,y,z) | 0 ≤ x ≤ 7, 0 ≤ y ≤ 9, 0 ≤ z ≤ 4}.
Adi S.
Evaluate the triple integral. ∢∢∢_E 17yz cos(10x^5) dV, where E = {(x, y, z) | 0 ≤ x ≤ 1, 0 ≤ y ≤ x, x ≤ z ≤ 2x}
Israel H.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD