r(u, v) = (b) dA= = Tu = (c) dA = ||dÁ|| = = |x7|| = for 0 ≤ u ≤ 7 and 0 ≤ v ≤ 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
(a) Find a vector parametric equation for the ellipse that lies on the plane ?−(2?+?)=3 and inside the cylinder ?^2+?^2=49
Transcribed Image Text:r(u, v) = <ucosv, usinv, 3+2ucosv+usinv>
(b) dA = 7₁ x 7 =
Tu
(c) dA = ||dà || = ||7, × 7, ||
=
for 0 ≤ u ≤ 7 and 0 ≤ v ≤ 2ñ.
(d) Set up and evaluate a double integral for the surface area of the ellipse.
Surface area =
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