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1. If f is a function, then limf(x, y) = f(2,5). (z,y) →(2,5) 2. If lim f(x, y) = 0, then lim f(x,0) = 0. (z,y) →(0,0) 2-0 3. If f(xo, yo) = f(x₁, y₁), then xo = ₁ and yo = y₁.

1. If f is a function, then limf(x, y) = f(2,5). (z,y) →(2,5) 2. If lim f(x, y) = 0, then lim f(x,0) = 0. (z,y) →(0,0) 2-0 3. If f(xo, yo) = f(x₁, y₁), then xo = ₁ and yo = y₁.

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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Tell whether each of the following statements is TRUE or FALSE. 1. If f is a function, then lim f(x, y) = f(2,5). (x,y) →(2,5) 2. If lim f(x, y) = 0, then lim f(x,0) = 0. (x,y) →(0,0) x→0 3. If f(xo, yo) = f(x1, y₁), then xo = ₁ and yo = y1. 4. If f is a function, then f(ax, ay) = a² f(x, y). 8² f əxəy 5. fay = 6. If f(x, y) → Las (x, y) → (a, b) along every straight line through (a, b), then limf(x, y) = L. (x,y) →(a,b) 2 6 6 2 7. [²₁² +² sin(z − 3)dzdy = [* [, 2² sin(x − 3)dyda - - 1 1 ₁. [²L²^ √² + 3³²dydz - S₁² S√x + y²dzdy 8. /x = 9. 1 1 LS² ec²+y² FALSE TRUE sin ydady = 0 2 4 4 10. [²[* ²³ dydz = [² ²³ de [*edy e¹ dx 3 3
Transcribed Image Text:Tell whether each of the following statements is TRUE or FALSE. 1. If f is a function, then lim f(x, y) = f(2,5). (x,y) →(2,5) 2. If lim f(x, y) = 0, then lim f(x,0) = 0. (x,y) →(0,0) x→0 3. If f(xo, yo) = f(x1, y₁), then xo = ₁ and yo = y1. 4. If f is a function, then f(ax, ay) = a² f(x, y). 8² f əxəy 5. fay = 6. If f(x, y) → Las (x, y) → (a, b) along every straight line through (a, b), then limf(x, y) = L. (x,y) →(a,b) 2 6 6 2 7. [²₁² +² sin(z − 3)dzdy = [* [, 2² sin(x − 3)dyda - - 1 1 ₁. [²L²^ √² + 3³²dydz - S₁² S√x + y²dzdy 8. /x = 9. 1 1 LS² ec²+y² FALSE TRUE sin ydady = 0 2 4 4 10. [²[* ²³ dydz = [² ²³ de [*edy e¹ dx 3 3
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