Answered: /2 29. f(x, y) = x² – y? at P = (2,3),…

/2 29. f(x, y) = x² – y? at P = (2,3), u = - 2 3 30. f(x, y) = x² – y² at P = (2,3), u = 4 ži- V10 at P = (-2, 1), u = 10 3/10 31. f«, y) = at P 10 + ILO

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

In Exercises 29–31, find the equation of the line tangent to the
surface at the given point P and in the direction of the given
unit vector u.

/2
29. f(x, y) = x² – y? at P = (2,3), u =
-
2
3
30. f(x, y) = x² – y² at P = (2,3), u =
4
ži-
V10
at P = (-2, 1), u =
10
3/10
31. f«, y) = at P
10
+ ILO

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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