О i) (10а + 4) і + (5а + 12)ј, in) -2о(10а + 4) i + (5а + 12) ј, i) -6о)(10а + 4) i + (5а + 12)ј, i) 6о ) (10а + 4)і+ (5а + 12)j, i) 0о) (5а + 4) i + (-10а + 12) ј, i) -2о)(5а + 4) і + (-10а + 12) ј, i) -6О i) (5а + 4) і + (-10а + 12) ј, i) 6О i) (5а + 4) і + (-10а + 12) ј, i) o Let a be a real number and f(x, y) = 5ax'y+ 4xy³.Let v = 3i – j and let Vf(x, y) denote the gradient of f(x, y).i) Find Vf(1, 1) in terms of a.–10/5|ii) If the rate of change of f(x, y) at the point (1, 1) in the direction of v isfind a.

Since solve the first question for you. If youwant any specific question to be solved then please…

Answered: Let a be a real number and f(x, y) =…

Let a be a real number and f(x, y) = 5ax²y+ 4xy³. Let v = 3i – j and let Vf(x, y) denote the gradient of f(x, y). i) Find Vf(1,1) in terms of a.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 25E

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Question

О i) (10а + 4) і + (5а + 12)ј, in) -2
о(10а + 4) i + (5а + 12) ј, i) -6
о)(10а + 4) i + (5а + 12)ј, i) 6
о ) (10а + 4)і+ (5а + 12)j, i) 0
о) (5а + 4) i + (-10а + 12) ј, i) -2
о)(5а + 4) і + (-10а + 12) ј, i) -6
О i) (5а + 4) і + (-10а + 12) ј, i) 6
О i) (5а + 4) і + (-10а + 12) ј, i) o

Let a be a real number and f(x, y) = 5ax'y+ 4xy³.
Let v = 3i – j and let Vf(x, y) denote the gradient of f(x, y).
i) Find Vf(1, 1) in terms of a.
–10/5
|
ii) If the rate of change of f(x, y) at the point (1, 1) in the direction of v is
find a.

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