Final Answer for b, and bz b1 TE -1 sin (1)(1)(x) dx + 1 sin (1)()(x) dx =? %3D Jo -IT (2)(n)(x) (2)(п)(х) 1 sin 1 b2 TE -1 sin dx + dx = ? - %3D

Q: Solve y (f) + 4y(t) = sin(t) – sin(t – 27)H(t– 27); y(0) = y (0) = 0 %3D

A: To find: Solve the given differential equation.

Q: dp Find dx given p(x) = (sin?(3x))(3x²-4*)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g' The Power rule;…

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (e) sin(2x) sin(x) dx.

A: ∫sin2xsinxdx

Q: d? -(sin-'(x²)) dx2 2– 4x4 A 3 2– 2x4 B 3 2+2x4 3. 2+4x4 D

A: Here we have to use the concept of derivative

Q: (d6/dx6)(x2 sin x)

A: Given function is fx=x2sinx

Q: sin (x² 3/2 +2)dx

A: See the details solution in below

Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

Q: -2m (sin x) dx

A:

Q: sin(3x - 2) csc(4x + 3)' dM solve for dr

A: Here we can find the derivative as below with respect to x

Q: 1. L 16x dx 2. o &. + 2 +1 3. (sec x- tan x dx dx 4. cos x tan x 1/4

A:

Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: sin3 x dx (③)글 4 () (0)

A:

Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

A:

Q: 7 (1 + sin² x) = e 2" sin 2.x, y(0) = 1 X 7) dx

A: This equation solve by separation variable

Q: dx Evaluate V- x² – 4x – 1

A:

Q: e2x sin(5x) dx

A: Given,  ∫e2x sin(5x) dx