Let V = (x)i + (5y)j + (2z)k be a vector field. Let St the upward-oriented surface given by z = 4x² + 5xy - 4y² for 1 ≤ x ≤ 3 and -1 ≤ y ≤ 1. Find the value of the following surface integral to four decimal places: [[.v. X 2.5 V.ndS = 2 1.5 -0.5 0.5 40 30 20

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
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Let V = (x)i + (5y)j + (2z)k be a vector field. Let S
the upward-oriented surface given by
z = 4x² + 5xy - 4y² for 1 ≤ x ≤ 3 and −1 ≤ y ≤ 1.
Find the value of the following surface integral to four
decimal places:
[[.v.
X
2.5
V.ndS=
2
1.5
-0.5
0
0.5
40
30
20
10
0
Transcribed Image Text:Let V = (x)i + (5y)j + (2z)k be a vector field. Let S the upward-oriented surface given by z = 4x² + 5xy - 4y² for 1 ≤ x ≤ 3 and −1 ≤ y ≤ 1. Find the value of the following surface integral to four decimal places: [[.v. X 2.5 V.ndS= 2 1.5 -0.5 0 0.5 40 30 20 10 0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,