Find the tangent plane to f(x, y) = Vx² + y² at (x, y) = (3, 4). Use the tangent plane to approximate v41 by evaluating the tangent plane (x, y) = (4,5). How does this compare to the actual value? Illustrate with a diagram. (Screenshot of Geogebra recommended). Bonus: For what values of x and y does this tangent plane approximation give an exact value? (Can earn up to one bonus point. Do not post solution on Piazza for the bonus.)

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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Find the tangent plane to
f(x, y) = Vx² + y²
at (x, y) = (3, 4). Use the tangent plane to approximate v41 by evaluating the tangent
plane (x, y) = (4,5). How does this compare to the actual value? Illustrate with a
diagram. (Screenshot of Geogebra recommended). Bonus: For what values of x and
y does this tangent plane approximation give an exact value? (Can earn up to one
bonus point. Do not post solution on Piazza for the bonus.)
Transcribed Image Text:Find the tangent plane to f(x, y) = Vx² + y² at (x, y) = (3, 4). Use the tangent plane to approximate v41 by evaluating the tangent plane (x, y) = (4,5). How does this compare to the actual value? Illustrate with a diagram. (Screenshot of Geogebra recommended). Bonus: For what values of x and y does this tangent plane approximation give an exact value? (Can earn up to one bonus point. Do not post solution on Piazza for the bonus.)
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