(a) Find the gradient of f.(b) Evaluate the gradient at the point P. (c) Find the rate of change of f at P in the direction of the vector u. f(x, y) = x/y, P(2, 1), u=i+i + j%3|f(x, y) = x² In y, P(3, 1), u= -i+ Bj= (0. §. – })<금, 음, 몸)f(x, y, 2) — х'уг — хуз", Р(2, —1, 1), и%—uf(x, y, г) — у'е", P(), 1, — 1), и%313 13, 13

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Answered: f(x, у) — х/у, Р(2, 1), и %3D i +j

Math

Calculus

f(x, у) — х/у, Р(2, 1), и %3D i +j

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

(a) Find the gradient of f.

(b) Evaluate the gradient at the point P.

f(x, y) = x/y, P(2, 1), u=i+
i + j
%3|
f(x, y) = x² In y, P(3, 1), u= -i+ Bj
= (0. §. – })
<금, 음, 몸)
f(x, y, 2) — х'уг — хуз", Р(2, —1, 1), и%—
u
f(x, y, г) — у'е", P(), 1, — 1), и%3
13 13, 13

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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