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Question 1 Compute the limit exist. x³y² + 2y³ lim (x,y) → (0,0) x3³ + y³ or prove that it does not +4

Question 1 Compute the limit exist. x³y² + 2y³ lim (x,y) → (0,0) x3³ + y³ or prove that it does not +4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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뵤 New tab X PDF MATH213Sample X PDF Joel R. Hass, Chris X PDF MATH213Sample X exist. File | C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalB.pdf ☐ ■ Draw Question 1 Compute the limit T Read aloud Type here to search Instructions: Show your work. If you use a theorem or a test to help solve a problem, state the name of the theorem or test. 발 + H lim (x, y) → (0,0) PDF MATH213Sample X PDF Math_213_Exam_ X b Answered: Questi X a 99+ 1 of 2 Question 2 For parts a), b) and c) let f(x, y) = x² – 3xy. x2 a) At the point with x = 1 and y = -1 compute the unit vector pointing in the direction of greatest increase of the function f(x, y) and compute the rate of increase in that direction. Р O (D b) Compute an equation for the plane tangent to the surface given by the equation f(x, y) at the point in space with x = 1 and y = −1. 2 = Answered: JJJ₁² z x³y² + 2y³ x³ + y³ 1 or prove that it does not 58°F J x + 0 ✓ ⠀ 9:04 AM 5/21/2023 4 CM • +
Transcribed Image Text:뵤 New tab X PDF MATH213Sample X PDF Joel R. Hass, Chris X PDF MATH213Sample X exist. File | C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalB.pdf ☐ ■ Draw Question 1 Compute the limit T Read aloud Type here to search Instructions: Show your work. If you use a theorem or a test to help solve a problem, state the name of the theorem or test. 발 + H lim (x, y) → (0,0) PDF MATH213Sample X PDF Math_213_Exam_ X b Answered: Questi X a 99+ 1 of 2 Question 2 For parts a), b) and c) let f(x, y) = x² – 3xy. x2 a) At the point with x = 1 and y = -1 compute the unit vector pointing in the direction of greatest increase of the function f(x, y) and compute the rate of increase in that direction. Р O (D b) Compute an equation for the plane tangent to the surface given by the equation f(x, y) at the point in space with x = 1 and y = −1. 2 = Answered: JJJ₁² z x³y² + 2y³ x³ + y³ 1 or prove that it does not 58°F J x + 0 ✓ ⠀ 9:04 AM 5/21/2023 4 CM • +
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