T(x, y, z) =? (a) (x + 2y, -y- 2z, -2) (r = y, 2x = 3y + z) (b) (c) (x – y, 2x – 3y – 2) (d) - - (x +2y,-x- 3y – z)

Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: Find curl (3z i + 4x j + 9y k). curl (3z i + 4x j + 9y k) = ( i )i + ( i

A:

Q: (D² -3D +2)y = (1+e×)-¹

A: D2-3D+2y=1+e-x-1 In this question we have to find the complementary function and particular…

Q: Find curl (6z i + 7x j + 8y k). curl(6z i + 7x j + 8y k) = ( i )i + ( i )j + ( i )k

A:

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

A:

Q: Find curl (5z i + 6x j + 3y k). curl (5z i + 6x j + 3y k) = ( i )i + ( i i )k

A:

Q: Find curl (2z i + 3x j + 5y k). curl (2z i + 3x j + 5y k) (i )i + ( i j+ ( i )k

A:

Q: A particle moves along a portion of the parabolic path y² = 4-x, where x and y are in meter, within…

A: Given a particle moves along the parabolic path y2=4-x where x, y are in meter, within the time…

Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

A:

Q: (х? + 2у — 10у3х) if z у? (у? + 4х + 5у) dz -, find || дх

A: Given:

Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: x(0) = -2 () 30 If y(0) I and y(1)-2, what is x(0)?

A: Let

Q: 21 (D² +6D² + 12D+8)) = 0 [AD: y = (C₁+C₂K+ (3²²) ²24

A: Given differential equation D3+6D2+12D+8y=0. The objective is to solve the differential equation.

Q: 6. (t -1)+(2 8. (2x² +5xy+ 3y²)+(8x² –7y²)

A: 6.

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: (b) dr dy - у — 1 x + y+3

A:

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

A:

Q: Find curl (8z i + 9x j + 8y k). curl (8z i + 9x j + 8y k) = ( i )i + ( i )j + ( i )k

A: We know: Where P, Q and R correspond to the components of a given vector field:F→=Pi→+Qj→+Rk→ curl…

Q: Find curl (4z i + 5x j+ 2y k).

A:

Q: (c) (4, -77/6) (x, y) = y y 1 2 3 4 5 6 7 3 -1 2 -2 -3 0-7 -6 -5 -4 -3 -2 -1 y 2 4 8 -1 5 -3 3 2. 9,

A: Given : (4, -7π/6).

Q: Find C so that y(x)=C(1-x2) a.  y(2)=1 b.  y(1)=2

A: To find the value of C so that y(x)=C(1-x2)...(1) with the given initial conditions.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.