{ 2xy? 9x2 + y4 (x, y) # (0,0) (x, y) = (0,0) f (x, y) ·

Q: Continuous Functions -3z+-4 I<-1 f(#) = Az+ B -1< a < 3 -1a +3 Determine the values of A and B that…

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Q: x² - y² z = g(x, y) = x² + y² 0 for for (x, y) = (0,0) (x, y) = (0,0)

A: Given function is z=gx,y=x5−y5x4+y4 for x,y≠0,00            for x,y=0,0. We have to check whether…

Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: Find where the function is continuous, but not differentiable..

A: Given,

Q: Determine where the function f(x) 이들이 ㅇ (-0.0) 0 ㅇ 19 QQ: [***] EXI 2x - 3 is continuous.

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Q: Determine whether the following function continuous at (0,0) or not: 4x?y x² + y² f (x,y)

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Q: ecos-1 x if x 1

A: If a function has to be continuous  then it must to follow below Left hand limit = Right  hand limit…

Q: The function is continuous at g= 0. Determine if it is differentiable at g = 0

A: The given function:Fg=2g2-gif g≤0tangif g&gt;0.We need to check the differentiability at g=0.

Q: f(x) = x2 + 2ax+ 2 si 4 si ba +1 si x≤-1 -1 <z <3 z≥ 3

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Q: Determine whether f is continuous at a = -1.

A: Given- fx=x2-1x+1   if x≠-16           if  x=1 To find- whether f is continuous at x=-1 or not.…

Q: x +1 x 2

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Q: x = 0 f(x) sin z x +0 а) х — 0. ? b) х — 4т. ?

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Q: 1. (y-1) x²+4 Cy-1)² (x,y)# (0,1) f(ox,y)= %3D (x,y) = (0,1)

A: Explained below...

Q: sin(xª + y²) x² + y² 10.3.11. f(x, y) =

A: For function to continue at the particular point it's right hand side limit and left hand side limit…

Q: { 2xy? 9x2 + y4 (x, y) # (0,0) f (x, y) = (x, y) = (0,0)

A: We will discuss limit by using different paths.

Q: Show that the function f defined by 1. (x, y) = (1, –1) f (x, y) : x² + y .2 (x, y) + (1, –1) x + Y…

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Q: what condition when present are sufficient to conclude that a function f(x) is continuous at x=a

A: To show a sufficient condition to conclude that a function f(x) is continuous at x=a.

Q: 2x3 + xy? x² + 2y4 if (x, y) # (0,0) if (x, y) = (0,0).

A: See the details solution in below

Q: 10.3.13. f(x, y) = xy ln(x² + y²).

A: