Let S be the surface pictured below. S has two boundary components: Cj is the unit circle contained in the plane z = 3, and • C, is the unit circle contained in the plane z = -3. S C2 Part (a) Which of the following is a correct parametrization of C1 with respect to the outward pointing normal vector n, pictured above? Assume 0

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let S be the surface pictured below. S has two boundary components:
Cj is the unit circle contained in the plane z = 3, and
• C, is the unit circle contained in the plane z = -3.
S
C2
Part (a)
Which of the following is a correct parametrization of C1 with respect to the outward pointing normal
vector n, pictured above? Assume 0 <t < 27.
O (sin(), cos(), 3) X
O (- cos(t), – sin(t), 3)
O (- cos(t), sin(t), 3)
Transcribed Image Text:Let S be the surface pictured below. S has two boundary components: Cj is the unit circle contained in the plane z = 3, and • C, is the unit circle contained in the plane z = -3. S C2 Part (a) Which of the following is a correct parametrization of C1 with respect to the outward pointing normal vector n, pictured above? Assume 0 <t < 27. O (sin(), cos(), 3) X O (- cos(t), – sin(t), 3) O (- cos(t), sin(t), 3)
vector n, pictured above? Assume 0 <t < 2t.
© (sin(를), cos(블), 3) 3
O (- cos(t), – sin(t), 3)
O (- cos(t), sin(t), 3)
O (cos(t), sin(t), 3)
V 0%
Part (b)
Which of the following is a correct parametrization of C2 with respect to the outward pointing normal
vector n, pictured above? Assume 0 <t < 2T.
O (- cos(t), sin(t), –3)
O (- cos(2t), – sin(2t), –3) 8
O (cos(t), sin(t), –3)
O (sin(t), cos(t), –3)
V 0%
Part (c)
Let F = (-y, x, 0). Is the flux fs(curl F · n) dS positive, zero, or negative?
O positive
O zero
O negative
V 0%
Transcribed Image Text:vector n, pictured above? Assume 0 <t < 2t. © (sin(를), cos(블), 3) 3 O (- cos(t), – sin(t), 3) O (- cos(t), sin(t), 3) O (cos(t), sin(t), 3) V 0% Part (b) Which of the following is a correct parametrization of C2 with respect to the outward pointing normal vector n, pictured above? Assume 0 <t < 2T. O (- cos(t), sin(t), –3) O (- cos(2t), – sin(2t), –3) 8 O (cos(t), sin(t), –3) O (sin(t), cos(t), –3) V 0% Part (c) Let F = (-y, x, 0). Is the flux fs(curl F · n) dS positive, zero, or negative? O positive O zero O negative V 0%
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