Let T be the triangular region region with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1) oriented with upward-pointing normal vector. Assume distances are in meters. D.v. v. ds = (1,0,0) A fluid flows with constant velocity field v= 10k (meters per second). (a) Calculate the flow rate through T. (Give your answer as a whole or exact number.) (0, 0, 1) v. ds = (0, 1, 0) (b) Calculate the flow rate through D, the projection of Tonto the xy-plane [the triangle with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0)]. (Give your answer as a whole or exact number.) m³/s m³/s Question Source: Rogawski 4e Calculus Early T
Let T be the triangular region region with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1) oriented with upward-pointing normal vector. Assume distances are in meters. D.v. v. ds = (1,0,0) A fluid flows with constant velocity field v= 10k (meters per second). (a) Calculate the flow rate through T. (Give your answer as a whole or exact number.) (0, 0, 1) v. ds = (0, 1, 0) (b) Calculate the flow rate through D, the projection of Tonto the xy-plane [the triangle with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0)]. (Give your answer as a whole or exact number.) m³/s m³/s Question Source: Rogawski 4e Calculus Early T
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Let T be the triangular region region with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1) oriented with upward-pointing normal vector.
Assume distances are in meters.
(0, 0, 1)
LIKE
(1, 0, 0)
v. ds =
dS
A fluid flows with constant velocity field v = 10k (meters per second).
(a) Calculate the flow rate through T.
(Give your answer as a whole or exact number.)
va
(0, 1, 0)
y
(b) Calculate the flow rate through D, the projection of Tonto the xy-plane [the triangle with verticies (0, 0, 0),
(1, 0, 0), (0, 1, 0)].
(Give your answer as a whole or exact number.)
v. ds =
m³/s
m³/s
Question Source: Rogawski 4e Calculus Early Transcendentals | publishe](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdcc9094-5411-40d7-ada3-835cb7ce7d9a%2F7d0d161a-5845-459b-a8e0-b410da493dd1%2Fyw5jtxh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let T be the triangular region region with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1) oriented with upward-pointing normal vector.
Assume distances are in meters.
(0, 0, 1)
LIKE
(1, 0, 0)
v. ds =
dS
A fluid flows with constant velocity field v = 10k (meters per second).
(a) Calculate the flow rate through T.
(Give your answer as a whole or exact number.)
va
(0, 1, 0)
y
(b) Calculate the flow rate through D, the projection of Tonto the xy-plane [the triangle with verticies (0, 0, 0),
(1, 0, 0), (0, 1, 0)].
(Give your answer as a whole or exact number.)
v. ds =
m³/s
m³/s
Question Source: Rogawski 4e Calculus Early Transcendentals | publishe
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