]i+ 5x sec² (xy) —- 3] + [6 y j+(6xz+2) e³x² –3]k, For F(x, y, z)=[5ysec²(xy)+6z²e³² find the curl and the divergence of F. Is F conservative? If so, find the function f such that F = Vf.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 24 12 XD

A:

Q: 5(18)

A: To find5(18)

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: Expand -5x (2 - 3y)

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

Q: 3 1/4 + 7 1/8

A:

Q: 7/2 + 3 4/6

A:

Q: 5 1 1 + 2r dr

A:

Q: 22n+1 3n+1 2.

A:

Q: FIND S + 4 (s² – 8S + 6) -

A:

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: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T. r…

A: We will evaluate the required value.

Q: (n + 4)3 =

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

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: V415

A: Given query is to find the square root of 415.

Q: 7

A:

Q: 8 13

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: 11 35

A:

Q: 4 10

A: Given: The figure,

Q: 14 1

A: Given triangle is What is another side length?

Q: 8y3 + 216

A:

Q: ydy (1+ у)*

A: We have to find the integral.

Q: Find A.

A: Given

Q: 3 power 3

A: