The expanded form of the differential operator D(xD -1) is XD² – 1 A В xD² (c) xD² +1 C D xD² – D

Q: 4 3 2 1 y 1 y = f(x) 2 3 4 -X

A:

Q: Let f(z) - 4z-1 pnd alz) - ar+b, where a pnd b are positive constants. If the composite

A:

Q: EVALUATE Sx csc(2x) cot(2x) dx A. -z csc (2r) +in esc (2r) - cot (2-)| + C В. B. z csc (2z) + In…

A:

Q: Determine the linear dependence of fi(t) = t + 2, f2(t) 2t2 + 3t, and %3D II f3(t) = -t2 +3.

A: Given functions are f1t=t+2f2t=2t2+3tf3t=-t2+3 To determine whether f1,f2,f3 are linearly…

Q: J1(z) rove that J(x) = -J(z) and J{(r) = Jo(z)- %3D

A:

Q: y = (8+ z)-1/2, a = 8 %3D Find the Linearization at z = a. L(z) =

A:

Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

A:

Q: Find the linearization at x = a. f(x) = 1 a = 5 x3 (Express numbers in exact form. Use symbolic…

A:

Q: find ,(t³i+7j+(t+ 1)k)dt

A:

Q: (A) Find the integration factor of the non exact differential equation 2y e +2y dy 0 +1 dx +

A:

Q: Determine the variation of the functional (b) J(x)=√ [x7(1) + x₁(1)x₂(1) + x3(1) + 2x₁(1)×₂(1)] dt.

A: To determine the variation of the functional J(x), we need to find the variation δJ for an arbitrary…

Q: Find the linearization at x = a. y = (10 + x)-1/2, a = 9 (Use symbolic notation and fractions where…

A:

Q: Choose an appropriate linear differential operator that annihilates the function 1+6x-2x4

A:

Q: If R(t) = (3t 2 -t) i + (2- 6t) j - 4t k , find (a) R(t) dt and (b) R(t) dt.

A:

Q: d d Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt the product directly…

A:

Q: The differential operator (D2 - 16D+113)³ annihilates the functions

A:

Q: ++Xt+1)dt

A: b) The given integral is ∫t+1t+1dt

Q: T(x1, x2, x3) = (x1-x2, x2-x3, x1 ) is this is linear

A:

Q: Apply the operator Z to the normalized state of #1 and verify whether the new state is normalized.…

A: