Let T be the triangular region with vertices (1, 0,0), (0, 1,0), and (0, 0, 1) oriented with upward-pointing normal vector. (0, 0, 1) (0, 1, 0) (1, 0, 0), A fluid flows with constant velocity field v = 4i + 4j m/s. Calculate: (a) The flow rate through T (b) The flow rate through the projection of T onto the xy-plane [the triangle with vertices (0, 0, 0), (1,0,0), and (0, 1,0)] Assume distances are in meters. (a) s v. dS = (b) |, v. dS =
Let T be the triangular region with vertices (1, 0,0), (0, 1,0), and (0, 0, 1) oriented with upward-pointing normal vector. (0, 0, 1) (0, 1, 0) (1, 0, 0), A fluid flows with constant velocity field v = 4i + 4j m/s. Calculate: (a) The flow rate through T (b) The flow rate through the projection of T onto the xy-plane [the triangle with vertices (0, 0, 0), (1,0,0), and (0, 1,0)] Assume distances are in meters. (a) s v. dS = (b) |, v. dS =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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 T be the triangular region with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1) oriented with upward-pointing normal vector.
(0, 0, 1)
(0, 1, 0)
(1, 0, 0),
4i + 4j m/s. Calculate:
A fluid flows with constant velocity field v =
(a) The flow rate through T
(b) The flow rate through the projection of T onto the xy-plane [the triangle with vertices (0, 0, 0), (1,0,0), and (0, 1, 0)]
Assume distances are in meters.
(a) , v.
dS
(b) I, v .
dS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c9159da-a431-4a35-8439-34e918757ee3%2F8f8f60a7-ba7c-4519-bfcc-a1d4afe28420%2Fju64r4p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let T be the triangular region with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1) oriented with upward-pointing normal vector.
(0, 0, 1)
(0, 1, 0)
(1, 0, 0),
4i + 4j m/s. Calculate:
A fluid flows with constant velocity field v =
(a) The flow rate through T
(b) The flow rate through the projection of T onto the xy-plane [the triangle with vertices (0, 0, 0), (1,0,0), and (0, 1, 0)]
Assume distances are in meters.
(a) , v.
dS
(b) I, v .
dS
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