x³ + 4y³ lim (x,y) (0,0) x² + y² x³ + 4y² lim (x,y) (0,0) x² + y² lim (x,y) →(1,1) 13x³ + 5y² x² + y² √

Q: does not exist

A: Given that:  The limit   lim(x,y)→(0, 0 ) x2 + yx2 + y2   .

Q: 3 sen y lim (xy)-(3,0)

A: Since lim(y tends to 0) sin( y)/y=1 Therefore, lim(x,y)tends to (3,0) x^3sin(y)/y=(3)^3×1=27

Q: ху (x, y)→(0, 0) x² + y² 16. Determine whether lim exists.

A:

Q: 3. f(x + h) - f(x) h [Select] represents

A: Secant line is a name given to the line which passes through any two points on the given curve.

Q: Show that xy4 lim (x,y) →(0,0) x² + y8 does not exist.

A: Given :                     lim(x,y)→(0,0) xy4x2+y8 We know that if the limit exists, all paths…

Q: 2x*y lim (x,y)→(0,0) x8 + 6y²

A:

Q: f'lx) = lim - 2x + 2x %3D (X+Xxj? 2

A: To solve lim∆x→0-2x+2∆x(x+∆x)2, plug in the limit and obtain -2x+2(0)(x+0)2.…

Q: f(x, y) = x² + y² - 10x - 20y Expand (x - 5)² + (y - 10)² Show that for k> -125, the level set…

A:

Q: For the function f(x,y) = (a) Find x³y 3x + y² lim f(x,y) along any straight line y = mx.…

A: Given function .

Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

Q: Determine the limits xy-y-7x+7 lim (x,y)→(1,4) x-1 lim x² (x,y) (0.0) x² + y²

A: 1. (x,y)→(1,4)lim​x−1xy−y−7x+7​We will factor the numerator:• Group the terms: xy - y - 7x + 7 = y(x…

Q: lim (x, y) - (6, -2) (x?y + 5xy2 + 4)

A: NOTE: Refresh your page if you can't see any equations. . substitute x=6 and y=-2

Q: Lnx 8) lim 3 X X→∞

A: We will find the limit as following.

Q: Find x² + 5y²-5 lim 2 (x,y) →(5,2) x² + y² +3 x² + 5y² - 5 lim (x,y) →(5,2) x² + y² +3 2 (Type an…

A: