MTH20014 Mathematics 3B, Test 2B 1. (a) [3 marks] Find the expression for Vo given that o(x, y, z) = r-3, where r2 = x2ty2+22. (b) [3 marks] Given the scalar function g(x, y, z) = (1+x ) sin z te cosy, calculate v = Vg and find V . v. (c) [3 marks] In what direction from the point P(0, -7, 7/2) and at what rate does function g increase in the quickest way? (d) [3 marks] What is the rate of change of the above function in the direction of vector a = (1, 2, 2) at point P