Let a be a real number and f(, y) = 5aa?y + 5æy³. Let v = 3i – j and let Vf(r, y) denote the gradient of f(x, y). i) Find Vf(1,1) in terms of a. -10/5 , find a. ii) If the rate of change of f(r, y) at the point (1, 1) in the direction of v is - v2 O ) (10a + 5) i + (5a + 15) j, i) -2 O i) (10a + 5) i + (5a + 15) j, ii) -6 O i) (10a + 5) i + (5a + 15) j, i) 6 O i) (10a + 5) i + (5a + 15) j, ii) 0 O i) (5a + 5) i + (-10a + 15) j, ii) -2 i) (5a + 5) i + (-10a + 15) j. ii) -6 O i) (5a + 5) i + (-10a + 15) j. ii) 6 i) (5a + 5) i + (-10a + 15) j, i) 0
Let a be a real number and f(, y) = 5aa?y + 5æy³. Let v = 3i – j and let Vf(r, y) denote the gradient of f(x, y). i) Find Vf(1,1) in terms of a. -10/5 , find a. ii) If the rate of change of f(r, y) at the point (1, 1) in the direction of v is - v2 O ) (10a + 5) i + (5a + 15) j, i) -2 O i) (10a + 5) i + (5a + 15) j, ii) -6 O i) (10a + 5) i + (5a + 15) j, i) 6 O i) (10a + 5) i + (5a + 15) j, ii) 0 O i) (5a + 5) i + (-10a + 15) j, ii) -2 i) (5a + 5) i + (-10a + 15) j. ii) -6 O i) (5a + 5) i + (-10a + 15) j. ii) 6 i) (5a + 5) i + (-10a + 15) j, i) 0
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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