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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) f: 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) f: R² → R, (x, y) → x − y +2, (xo, yo) = (1, 1)

Calculus: Early Transcendentals
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)
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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