(a) express dw/ dt as a function of 1, both by using the Chain Rule and by expressing w in terms of i and differentiating directly with respect to t. Then (b) evaluate dw/dt at the given value of t. w = x2 + y?, x = cos t, y = sin t; t = T

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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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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(a) express dw/dt as a function of i, both by using
the Chain Rule and by expressing w in terms of i and differentiating
directly with respect to t. Then (b) evaluate dw/di at the given value
of i.
w = x + y', x = cos t, y = sin t; i = T
Transcribed Image Text:(a) express dw/dt as a function of i, both by using the Chain Rule and by expressing w in terms of i and differentiating directly with respect to t. Then (b) evaluate dw/di at the given value of i. w = x + y', x = cos t, y = sin t; i = T
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