MTH381 Email: bbcnoun@gmail.com Whatsapp: 08131667008 What is the Laplace transform of the function \\(f(t)=t\\) where \\(t\\geq 0\\). \\(\\frac{1}{s^2}\\) Given that \\(u=\\frac{yz}{x}\\), \\(v=\\frac{xz}{y}\\) and \\(w=\\frac{xy}{z}\\), then what is the value of \\(\\frac{\\partial(u, v, w)}{\\partial(x, y, z)}\\) ? 4 Find the Jacobian of p, q, r with respect to x, y, z given \\(p=x+y+z, q=y+z\\) and \\(r=z\\) 1 Evaluate the residue of \\(f(z)=\\frac{1+e^z}{sin z+z cos z}\\)at the pole where \\(z=0\\). 1 Find the pole of this function \\(f(z)=\\frac{z-2}{z^2}sin \\frac{1}{z-1}\\) 2 The Stoke’s theorem uses which of the following operation? Curl What is an integral curve along a simple closed curve called? Countour Integral The singularity of \\(f(z)=\\frac{z+3}{(z-1)(z-2)}\\) are \\(z=1,2\\) Find the \\(_{z\\rightarrow2+3i}lim[3x+i(2x-4y)]\\) \\(6+16i\\) Fourier series uses which domain representation of signals? Frequency domain representation Email: bbcnoun@gmail.com Whatsapp: 08131667008