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25. g(t) = 1² + √t, f(x, y) = 2x + 3y - 6

25. g(t) = 1² + √t, f(x, y) = 2x + 3y - 6

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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Question
25
ept ter ite m T -, 7 f 22. x²y² lim (x, y, z)-(0, 0, 0) x² + y² + ₂² is to com 23-24 Use a computer graph of the function to explain why the ICH limit does not exist. 23. lim (x, y)-(0, 0) 2x² + 3xy + 4y² 3x² + 5y² 25-26 Find h(x, y) = g(f(x, y)) and the set of points at which h is continuous. 25. g(t) = 1² + √t, 26. g(t) = t + ln t, f(x, y) = tat 24. 31. F(x, y) f(x, y) = 2x + 3y - 6 1- xy 1 + x²y² 27-28 Graph the function and observe where it is discontinu- ous. Then use the formula to explain what you have observed. 1 27. f(x, y) = ¹/(x-3) 28. f(x, y) = 1-x² - y² xy³ lim (x, y)-(0.0) x² + y² T 29-38 Determine the set of points at which the function is continuous. 29. F(x, y) 30. F(x, y) = cos √1+x=y - xy 1 + e*-y 1 + x² + y² 1-x² - y² 33. G(x, y) = √x + √1 = x² − y² 34. G(x, y) = ln(1 + x - y) 35. f(x, y, z) = arcsin(x2 + y + z) 36. f(x, y, z)=√√y- In z et + e 32. H(x, y) = xy - 1 (00) 38. f(x. 39-41 polar c r 0 39. 40. G 41. 42. 43
Transcribed Image Text:ept ter ite m T -, 7 f 22. x²y² lim (x, y, z)-(0, 0, 0) x² + y² + ₂² is to com 23-24 Use a computer graph of the function to explain why the ICH limit does not exist. 23. lim (x, y)-(0, 0) 2x² + 3xy + 4y² 3x² + 5y² 25-26 Find h(x, y) = g(f(x, y)) and the set of points at which h is continuous. 25. g(t) = 1² + √t, 26. g(t) = t + ln t, f(x, y) = tat 24. 31. F(x, y) f(x, y) = 2x + 3y - 6 1- xy 1 + x²y² 27-28 Graph the function and observe where it is discontinu- ous. Then use the formula to explain what you have observed. 1 27. f(x, y) = ¹/(x-3) 28. f(x, y) = 1-x² - y² xy³ lim (x, y)-(0.0) x² + y² T 29-38 Determine the set of points at which the function is continuous. 29. F(x, y) 30. F(x, y) = cos √1+x=y - xy 1 + e*-y 1 + x² + y² 1-x² - y² 33. G(x, y) = √x + √1 = x² − y² 34. G(x, y) = ln(1 + x - y) 35. f(x, y, z) = arcsin(x2 + y + z) 36. f(x, y, z)=√√y- In z et + e 32. H(x, y) = xy - 1 (00) 38. f(x. 39-41 polar c r 0 39. 40. G 41. 42. 43
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