Question 4 a. Let f(x,y) = x² + 2x + 2xy + y² Find f(1, 2) and f(0,0)

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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Question 4
a. Let f(x,y) = x² + 2x + 2xy + y²
Find f(1, 2) and f(0,0)
b. Find the domain of the function given by the following formula and sketch them in the xy-plane.
f(x, y) = √1 − (x² + y²)
c. Find the domain of the functions
i. f(x, y)
ii. f(x, y) = ln(x − a)² + In(y - b)²
-
=
x+2y
y+x-3
Transcribed Image Text:Question 4 a. Let f(x,y) = x² + 2x + 2xy + y² Find f(1, 2) and f(0,0) b. Find the domain of the function given by the following formula and sketch them in the xy-plane. f(x, y) = √1 − (x² + y²) c. Find the domain of the functions i. f(x, y) ii. f(x, y) = ln(x − a)² + In(y - b)² - = x+2y y+x-3
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