(a) Find a vector parametric equation for the part of the saddle z = xy inside the cylinder x² + y² = 36. Ŕ(u, v) = for 0 ≤ u ≤ 6 and 0 ≤ v ≤ 2ñ. (b) eux ev = (c) Compute and simplify: |ẽu × ēv| = (d) Evaluate a double integral for the surface area of the part of the saddle inside the cylinder.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(a) Find a vector parametric equation for the part of the saddle z = xy inside the cylinder x² + y² = 36.
Ŕ(u, v) =
for 0 <u≤ 6 and 0 ≤ v≤ 2π.
(b) eu x ev =
=
(c) Compute and simplify: |ēµ × ēv|
(d) Evaluate a double integral for the surface area of the part of the saddle inside the cylinder.
Surface area =
Transcribed Image Text:(a) Find a vector parametric equation for the part of the saddle z = xy inside the cylinder x² + y² = 36. Ŕ(u, v) = for 0 <u≤ 6 and 0 ≤ v≤ 2π. (b) eu x ev = = (c) Compute and simplify: |ēµ × ēv| (d) Evaluate a double integral for the surface area of the part of the saddle inside the cylinder. Surface area =
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