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Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

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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Please solve all questions without delay Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²-9) 2. f(x, y) = ln(x² + y² - 4) 1 is Q2 (A) At what points f(x, y, z) in which the function f(x, y, z) = continuous? 2-√√√x²+ B: Find all the second-order partial derivatives of the functions z = yex²-y Q3: Set up the limits of the integration for the region bounded by the y = x² and y=x+2 for (1) dy dx (2) dxdy Q4: change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral y ff xdxdy 00 Quiz: Find the area of region bounded by y = x - 2, y = -x and y = √x. Using the order dy Example
Transcribed Image Text:Please solve all questions without delay Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²-9) 2. f(x, y) = ln(x² + y² - 4) 1 is Q2 (A) At what points f(x, y, z) in which the function f(x, y, z) = continuous? 2-√√√x²+ B: Find all the second-order partial derivatives of the functions z = yex²-y Q3: Set up the limits of the integration for the region bounded by the y = x² and y=x+2 for (1) dy dx (2) dxdy Q4: change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral y ff xdxdy 00 Quiz: Find the area of region bounded by y = x - 2, y = -x and y = √x. Using the order dy Example
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