Find the m M (6x)⁰ (15x - 12)° (19x + 2)° ΝΙ

Q: x-2X x+ X-6

A: Here we have to calculate the givne limit.  =limx→2x2-2xx2+x-6

Q: 6. dy = 3 — 2у

A:

Q: 11- +2 = x² y6 dx x ech

A:

Q: :2 ¡dx 4

A:

Q: S(x - 2x –1)dx – 2x-

A: In integrate by using formula for general case.

Q: Cos2 10x d 8.

A: The integral is given by,

Q: g(x.y)-xn (x-y), as(-2,3) Pind vg ?

A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

Q: А (2х+ 1)° B X= (3х-7)°

A: Length of tangent lines drawn from external point of a circle are equal.

Q: xdx 4+²- x

A: We need to use integration by substitution technique. In integration by substitution technique, we…

Q: [e³(5e* + 8) 6 dx.

A: see below the answer and calculation

Q: 3x? dx 2 + 4x

A:

Q: (2x +1)° (5x +5)°

A: Solution: The objective is to find the value of x

Q: x²dx a. V2x-x2 x2 dx b. 1-х6

A:

Q: Find d²y 2 dx 11 y=¹1√√x

A:

Q: d {(1+x – x²)°} da

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Find LL₂ (4x +9y) dA where D is depicted below. D D Q

A:

Q: Solve the following ODEs by making an appropriate change of variable: dy 1-3y-9r (b) = dr 1+ y + 3x…

A: