7. Find an equation of the tangent plane to the given surface at the specified point. cos(x – 2y),(r, 0, –1) = Z

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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Please answer the question 7 with details on how to do it. Please make handwriting legible. Thank you.

5. Find the limit, if it exists, or show that the limit does not exist.
x?y + x³y?
lim
(x,y)¬(-2,1) x2 + y2
6.
Find the first partial derivatives of the function.
f(x, y) = x²y – 3y4 + e*y
7.
Find an equation of the tangent plane to the given surface at the specified point.
z = cos(x – 2y),(T, 0, – 1)
8.
Use the Chain Rule to find əz/əs and əz/ðt.
= (y – 2x)³,
x = s³t?,
y = s+t?
Transcribed Image Text:5. Find the limit, if it exists, or show that the limit does not exist. x?y + x³y? lim (x,y)¬(-2,1) x2 + y2 6. Find the first partial derivatives of the function. f(x, y) = x²y – 3y4 + e*y 7. Find an equation of the tangent plane to the given surface at the specified point. z = cos(x – 2y),(T, 0, – 1) 8. Use the Chain Rule to find əz/əs and əz/ðt. = (y – 2x)³, x = s³t?, y = s+t?
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