ax? + sin? y 96x2 + y² Let a be a nonzero constant such that a + 96. Let f(x, y) and let L= lim(r.y)→(0,0) F(x, y). Which of the following statements is correct? ax² + sin y Türkçe: a sıfırdan farklı ve a + 96 olsun. Eğer f(x, y) ve 96x2 + y² L= lim(r,y)→(0,0) F(x, y) ise aşağıdaki cümlelerden hangisi doğrudur? O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from the one along the y-axis. (x-ekseni ve y-ekseni üzerinde limitler farklı olduğu için L yoktur.) O L=1 O L=a/96 O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur). O L exists if a=97 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=x. (Eğer a=97 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.)
ax? + sin? y 96x2 + y² Let a be a nonzero constant such that a + 96. Let f(x, y) and let L= lim(r.y)→(0,0) F(x, y). Which of the following statements is correct? ax² + sin y Türkçe: a sıfırdan farklı ve a + 96 olsun. Eğer f(x, y) ve 96x2 + y² L= lim(r,y)→(0,0) F(x, y) ise aşağıdaki cümlelerden hangisi doğrudur? O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from the one along the y-axis. (x-ekseni ve y-ekseni üzerinde limitler farklı olduğu için L yoktur.) O L=1 O L=a/96 O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur). O L exists if a=97 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=x. (Eğer a=97 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.)
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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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
Transcribed Image Text:ax? + sin? y
96x2 + y²
Let a be a nonzero constant such that a + 96. Let f(x, y)
and let
L= lim(r.y)→(0,0) F(x, y). Which of the following statements is correct?
ax² + sin y
Türkçe: a sıfırdan farklı ve a + 96 olsun. Eğer f(x, y)
ve
96x2 + y²
L= lim(r,y)→(0,0) F(x, y) ise aşağıdaki cümlelerden hangisi doğrudur?
O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different
from the one along the y-axis. (x-ekseni ve y-ekseni üzerinde limitler farklı olduğu
için L yoktur.)
O L=1
O L=a/96
O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında
tanımsız olduğu için L yoktur).
O L exists if a=97 because in this case the limit as (x,y) goes to (0,0) along x=0 is the
same as the one along y=x. (Eğer a=97 ise limit vardır çünkü bu durumda x=0 ve
y=x doğruları üzerinde limitler aynıdır.)
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