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: Find an equation of tangent equation is 2x+6y=3. line to the graph of y=x+lax that is perpendicular…

A: We need to find the equation of the tangent line to the graph y=x+ln(x) that is perpendicular to the…

Q: lim ( + y) In (² + y?) (z.y)-(0,0)

A: We can write the above expression as following :' x2+y2lnx2+y2=(x4+x2y2)lnx2+y2x2. Now, if we put…

Q: lim r.y)→(0,0) (4 + (x² + y²) In(x² + y?)) Dose not exist -00 00 1 4-

A:

Q: Show that x²y + x² lim (x,y) →(0,-1) 24+ (y + 1)² does not exist.

A:

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: x4-16y+ lim (x,y)¬(2,1) x²–4y2

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: Given that the Laplace transform of f(t) is F(s) = s 5 s2-3s +3 then the Laplace transform of…

A:

Q: f(x,y)=√2x - 4y - x² - y² - 1 O Dom_f = {(x,y)= R^2: (x-1)^2 + (y+2)^2 ≤ 4} O Ninguna es correcta O…

A: Domain of a function f(x)=√x is x>=0

Q: Find limit lim (x,y) -> (2,0)   ((Sqrt(2x-y)-2))/(2x-y-4)

A:

Q: F (x, y) = 2xy(x²-y²) x2+y2 1) Find lim f (x, y) when (x, y) (0,0)

A:

Q: [f(x,y)] 4- lim (x,y)→(a,b) Lg(x,y)]

A: Please see the answer in step 2

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: Which of the following statements is true? ху- 4y 1 A lim 2 (x.y) (4,0) x2-8x+y² + 16 V2x+y-3 lim…

A:

Q: a) If lim (3x² – 8x + 3) = 3, then find the values of m. x→m b) Find the coordinates of the point(s)…

A: a) To find the value of the limit, substitute m for x then solve for the value of m. b) we know that…

Q: lim (4+ (2? + y°) In(x² + y²)) (1,y)(0,0)

A: Given; lim(x,y)=(0,0)[4+(x2+y2)ln(x2+y2)]

Q: 4x +4 lim (2,y) (-1,2)` x² + 3xy – 3y2 + 3xy - 3y2

A:

Q: x²+x y-2y lim (x,y)→(4,16) x- Jy

A:

Q: lim (x,y)-(2,4) x² +x/F-2y x-Vy %3D ||

A: Solve the limit

Q: (2) (6) xy-y-2x+2 lim (x,y) (1.1) x-1 2x-y-2 lim (xy)-(20) 2x-y-4 lim (x.y.x)-(3,4.1) (xyz) ¹√√x² +…

A:

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° +2y² +x*y lim (* ,y') → (0, 0) x* +3y - x*y

A:

Q: Show that 2 x² - y² - 1 lim (x,y) →(1,0) 1 − x + (2y)² - does not exist.

A:

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: