13. Find an equation for the tangent plane of the graph of f at the point (xo, yo, f(xo, yo)) for: (a) ƒ: R² → R, (x, y) → x − y + 2, (xo, yo) = (1, 1)
13. Find an equation for the tangent plane of the graph of f at the point (xo, yo, f(xo, yo)) for: (a) ƒ: R² → R, (x, y) → x − y + 2, (xo, yo) = (1, 1)
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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![13. Find an equation for the tangent plane of the graph of f
at the point (xo, yo, f(xo, yo)) for:
(a) ƒ: R²2 → R, (x, y) ↔ x − y +2,
(xo, yo) = (1, 1)
(b)
(c)
ƒ: R² → R, (x, y) → x² + 4y²,
(xo, yo) = (2, -1)
f:
ƒ: R² → R, (x, y) → xy,
(xo, yo) =
(-1, −1)
(d) f(x, y) =
log (x + y) + x cos y + arctan(x + y),
(xo, yo) = (1, 0)
-2
(e) f(x, y) = √√√x² + y²,
(f) f(x, y) = xy,
(xo, yo)= (1, 1)
(xo, yo) = (2, 1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d69634b-8a8a-4609-8704-3bdadaefe256%2F18bb5b54-a310-4992-a065-96d09956d68a%2F9ugo8yk_processed.png&w=3840&q=75)
Transcribed Image Text:13. Find an equation for the tangent plane of the graph of f
at the point (xo, yo, f(xo, yo)) for:
(a) ƒ: R²2 → R, (x, y) ↔ x − y +2,
(xo, yo) = (1, 1)
(b)
(c)
ƒ: R² → R, (x, y) → x² + 4y²,
(xo, yo) = (2, -1)
f:
ƒ: R² → R, (x, y) → xy,
(xo, yo) =
(-1, −1)
(d) f(x, y) =
log (x + y) + x cos y + arctan(x + y),
(xo, yo) = (1, 0)
-2
(e) f(x, y) = √√√x² + y²,
(f) f(x, y) = xy,
(xo, yo)= (1, 1)
(xo, yo) = (2, 1)
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