22. Evaluate ſſ[ (v²zî +y³ ĵ +xzîk) - dS, where S is the surface of cube −1≤x≤1,−1≤ y ≤ 1, and 0 ≤ z ≤ 2 in a counterclockwise direction.
22. Evaluate ſſ[ (v²zî +y³ ĵ +xzîk) - dS, where S is the surface of cube −1≤x≤1,−1≤ y ≤ 1, and 0 ≤ z ≤ 2 in a counterclockwise direction.
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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22 please
![In exercises 19 - 20, approximate the mass of the homogeneous lamina that has
the shape of given surface S. Round to four decimal places.
19. [T] S is surface x = 4 –
2y, with
0, y
Answer
20. [I] S is surface = x² + y², with ≤ 1; =
-21, [T] S is surface x² + y² + x² = 5, with 2 > 1; § = 02
Answer
x.
22. Evaluate ſſ[(y²zî + y² ĵ + æzî) · dS, where S is the surface of cube
−1≤ x ≤ 1, −1≤ y ≤ 1, and 0 ≤ ≤ 2 in a counterclockwise direction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07dc3289-c262-41f1-9fc5-a8d18500de1b%2Fee7b7ecf-76a0-4dc0-bdb4-45ba987998fe%2Fgv990x_processed.png&w=3840&q=75)
Transcribed Image Text:In exercises 19 - 20, approximate the mass of the homogeneous lamina that has
the shape of given surface S. Round to four decimal places.
19. [T] S is surface x = 4 –
2y, with
0, y
Answer
20. [I] S is surface = x² + y², with ≤ 1; =
-21, [T] S is surface x² + y² + x² = 5, with 2 > 1; § = 02
Answer
x.
22. Evaluate ſſ[(y²zî + y² ĵ + æzî) · dS, where S is the surface of cube
−1≤ x ≤ 1, −1≤ y ≤ 1, and 0 ≤ ≤ 2 in a counterclockwise direction.
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