(0, 1) (0,0) (1,0) FIGURE 0.1. The triangle T of the problem. Consider the triangle T with vertices (0,0), (1,0) and (0, 1). a) Describe the region T in Cartesian coordinates and compute the area of T using a double integral.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 11P
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Solve a part only in maximum 30 min and take a thumb up plz
(0, 1)
(0,0)
(1,0)
FIGURE 0.1. The triangle T of the problem.
Consider the triangle T with vertices (0,0), (1,0) and (0, 1).
a) Describe the region T in Cartesian coordinates and compute the
area of T using a double integral.
b) Consider the vector field F = (x2, y). Compute the flux of F across
%3D
T (with outgoing normal vectors).
Transcribed Image Text:(0, 1) (0,0) (1,0) FIGURE 0.1. The triangle T of the problem. Consider the triangle T with vertices (0,0), (1,0) and (0, 1). a) Describe the region T in Cartesian coordinates and compute the area of T using a double integral. b) Consider the vector field F = (x2, y). Compute the flux of F across %3D T (with outgoing normal vectors).
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