Find the gradient of the function g(x,y) = xy at the point (5, -1). Then sketch the gradient together with the level curve that passes through the point. (---)) First find the gradient vector at (5, 1). Vg(5, -1)= İ+ j (Simplify your answers.)

Q: 3 -4- -0- 4. 2.

A:

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: . 3류 - 2층 : 3% +4/3) 1

A:

Q: 2 3 3 4 6 8

A: The mean is computed below.   Aptitude score(x) Frequency(f) x*f 0 4 0 1 2 2 2 3 6 3 0 0…

Q: 2) 36³x=¹

A:

Q: Expand -5x (2 - 3y)

A: Expand -5x (2 - 3y)

Q: 5 1 1 + 2r dr

A:

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: Expand (x + y) 8.

A: Given: The expression x+y8.

Q: 4root2*4root2

A:

Q: 7,20

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 5у 10y

A: Given,    5y/10y    Cancelling y from both numerator and denominator to get,    5/10   Now, 5/10 can…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: d. 1 3a+18 = 1 - 8 a+6

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: (n + 4)3 =

A: Given query is to expand (n+4)3

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: 2) Expand the following a) Csa2-2b)

A: I have to exapand (5a^2-2b)

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 8y3 + 216

A:

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: ydy (1+ у)*

A: We have to find the integral.

Q: Find A.

A: Given

Q: (2 + V-9 )3

A:

Q: 8 15 2 15

A: 8/15 -2/15 here simple substraction given and fraction is given  calculation is given inbelow