(a) Evaluate the following surface integral yex+z ds, Ver?. where o is the portion of the...

 

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(a) Evaluate the following surface integral yex²+z² ds, Ver?. where o is the portion of the surface of the cylinder x? + z2 = 4 that lies between y = 0 and y = 1. (b) A lamina in the shaped of the cone z = 5 – Vx2 + y2 lies between z = 1 and z = 4. Find the mass M of the lamina if the mass density of the lamina is given by p(x, y, z) = /x2 + y2. (a) Evaluate the following surface integral yex²+z² ds, Ver?. where o is the portion of the surface of the cylinder x? + z2 = 4 that lies between y = 0 and y = 1. (b) A lamina in the shaped of the cone z = 5 – Vx2 + y2 lies between z = 1 and z = 4. Find the mass M of the lamina if the mass density of the lamina is given by p(x, y, z) = /x2 + y2.