The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 + y? = 1, and its height is 4. (a) Give a parametric equation, (t) for the rim, C. r(t) = , with .) (b) If S is oriented outward and downward, find fs curl (-3yi + 3xj+ 4zk) · dÃ. Ss curl (–3yi + 3xj+ 4zk) · dÃ

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 17T
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The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.)
The side of S is given by x2 + y?
= 1, and its height is 4.
(a) Give a parametric equation, (t) for the rim, C.
r(t) =
, with
<t<
(For this problem, enter your vector equation with angle-bracket notation: < f(t), g(t), h(t) >.)
(b) If S is oriented outward and downward, find fs curl (-3yi + 3xj+ 4zk) · dÃ.
Ss curl (–3yi + 3xj+ 4zk) · dÃ
Transcribed Image Text:The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 + y? = 1, and its height is 4. (a) Give a parametric equation, (t) for the rim, C. r(t) = , with <t< (For this problem, enter your vector equation with angle-bracket notation: < f(t), g(t), h(t) >.) (b) If S is oriented outward and downward, find fs curl (-3yi + 3xj+ 4zk) · dÃ. Ss curl (–3yi + 3xj+ 4zk) · dÃ
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