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 + y² = 9, and its height is 2. (a) Give a parametric equation, 7(t) for the rim, C. * (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 ſ curl (−3yi + 3x7 +7zk) · dÃ. S curl (−3yi + 3x7 +7zk) · dà = ¯

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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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.)
x
The side of S is given by x² + y² = 9, and its height is 2.
(a) Give a parametric equation, 7(t) for the rim, C.
F(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 ſç curl (−3yi + 3x7 + 7zk) · dÃ.
fs curl (-3yi + 3xj+7zk). dĀ =
Transcribed Image Text:The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) x The side of S is given by x² + y² = 9, and its height is 2. (a) Give a parametric equation, 7(t) for the rim, C. F(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 ſç curl (−3yi + 3x7 + 7zk) · dÃ. fs curl (-3yi + 3xj+7zk). dĀ =
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