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Work Problems ) Let r(t) = (√√9-1, ¹5, 2t In t). (1) A) Find the domain of r(t). B) lim r(t) =? 1-2 C) [ r(t)dt =? (2)( A) f(x, y) = 2x - y². Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 8xy lim (x,y)-(0,0) x² - 3y²

Work Problems ) Let r(t) = (√√9-1, ¹5, 2t In t). (1) A) Find the domain of r(t). B) lim r(t) =? 1-2 C) [ r(t)dt =? (2)( A) f(x, y) = 2x - y². Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 8xy lim (x,y)-(0,0) x² - 3y²

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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Work Problems (1) ) Let r(t) = A) Find the domain of r(t). B) lim r(t) =? 1-2 c) [ r(t)dt =? (2)( (√9-t, ¹+5,2t In t). A) f(x, y) = 2x - y². Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 8xy lim (x,y)-(0,0) x² - 3y² C) Write a function f(x, y) such that the domain of f(x, y) is D = {(x, y) | x² ≥ 1 - y²). Also provide a sketch for the domain.
Transcribed Image Text:Work Problems (1) ) Let r(t) = A) Find the domain of r(t). B) lim r(t) =? 1-2 c) [ r(t)dt =? (2)( (√9-t, ¹+5,2t In t). A) f(x, y) = 2x - y². Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 8xy lim (x,y)-(0,0) x² - 3y² C) Write a function f(x, y) such that the domain of f(x, y) is D = {(x, y) | x² ≥ 1 - y²). Also provide a sketch for the domain.
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