For each of the following functions ƒ :R² →R compute at the point a. sin(x)cos(y) (a) f(x,y) = a = (- 3' 4 (b) f(x, y)=ev2-y; а (1, 1) 1 (c) f(х, у)%3D a = (-4, 3) (x, v)||"

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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For each of the following functions f: R² →R compute
at the point a.
sin(x)cos(y).
(а) f (х, у) —
a = (-,-)
3'4
(b) ƒ(x, y)==
а (1, 1)
1
(c) f(x, y)=
a = (-4, 3)
[ 4x²y-5y²
(d) f(x, y) = { x² + y²
-,(x, y)#(0,0).
a = (0,0)
0,(x, y) = (0,0)
Transcribed Image Text:For each of the following functions f: R² →R compute at the point a. sin(x)cos(y). (а) f (х, у) — a = (-,-) 3'4 (b) ƒ(x, y)== а (1, 1) 1 (c) f(x, y)= a = (-4, 3) [ 4x²y-5y² (d) f(x, y) = { x² + y² -,(x, y)#(0,0). a = (0,0) 0,(x, y) = (0,0)
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