Q4 (a) Calculate the unit tangent vector, principal unit normal vector, binormal vector and curvature of vector valued functions: r(t)= 2 cos - ti + 2 sin - t j - 2 k ( b ) Given that the line integral equation of J xy dx + (x + y) dy where C is the curve, calculate: i) A straight line from the point (0.0) to (1,1) ii) x = vy from the point (0.0) to (1,1) (c) Compute the flux of water through the cone z - 1 vx2 + y2 that line above the plane z = 0, oriented by an upward unit normal vector. Assume that the velocity vector, v = F(x, y, z) = 2xi + 2 y j + 3 k is measured in m/min and the water has the density p = 1 tan/m3