· exist and are harmonic. 18.6. Let be a simple closed contour described in the positive sense, 3+78 and write g(=) = /de 3(2)6 and that g(2) =0 when z is outside y. dg. Show that g(z) = 6Tiz when z is inside Y %3D

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A: solution of the given question is like aS:

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A: Here we have to find out the required value by using the inverse Laplace transformation.

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A: The figure is as follows: Here OB bisects &lt;AOC. So &lt;AOB = &lt;BOC m &lt;4 = m &lt;5

Q: A = {x € Rx ≥ 5 and x 8 and r < 12}

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A: we know   d dx(sin-1x)=11-x2for  fx treat  y and z as constant∂constant ∂x=0fx=∂ ∂x(sin-1(4xyz))

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A: Solved below.

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A: Since you have asked multiple parts in a single request so we will be answering only first three…