(1 point) 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, 7(t) for the rim, C. F(t) = with 0 .) (b) If S is oriented outward and downward, find curl (-5yi + 5xj + 5zk) · dÁ. Ss curl (-5yi + 5xj+ 5zk) · dĀ : -62.5pi
(1 point) 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, 7(t) for the rim, C. F(t) = with 0 .) (b) If S is oriented outward and downward, find curl (-5yi + 5xj + 5zk) · dÁ. Ss curl (-5yi + 5xj+ 5zk) · dĀ : -62.5pi
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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
Transcribed Image Text:(1 point) 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 x? + y = 1, and its height is 4.
(a) Give a parametric equation, r(t) for the rim, C.
r(t) = <cos(t),sin(t),4>
with 0
<t< 2pi
(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 curl (-5yi + 5xj + 5zk) · dÁ.
S, curl (-5yi + 5xj+5zk) · dà = -62.5pi
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