Gradient fields. (a) Find the gradient field for p(x,y) = -y + sinx (b) Evaluate F (the gradient field) for p(x,y) given in part a at A((1/2)pi,1) , B(pi,0) , C((3/2)pi,-1), and D(2pi,0). Then plot the level curve p(x,y) = 0 and the vectors F at points A,B,C, and D.
Gradient fields. (a) Find the gradient field for p(x,y) = -y + sinx (b) Evaluate F (the gradient field) for p(x,y) given in part a at A((1/2)pi,1) , B(pi,0) , C((3/2)pi,-1), and D(2pi,0). Then plot the level curve p(x,y) = 0 and the vectors F at points A,B,C, and D.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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1. Gradient fields.
(a) Find the gradient field for p(x,y) = -y + sinx
(b) Evaluate F (the gradient field) for p(x,y) given in part a at A((1/2)pi,1) , B(pi,0) , C((3/2)pi,-1), and D(2pi,0). Then plot the level curve p(x,y) = 0 and the vectors F at points A,B,C, and D.
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