calculs 3

Note: please write down the Answer by hand on paper and also write each answer with the number of the questions

1. (a) Change the point (2, 2V3,6) from cartesian coordinates to cylindrical coordinates. (b) Change the point (V3, ~, 1) from cylindrical coordinates to spherical coordinates.(c) Express the surface p = cos & in cartesian coordinates and tell me what is this surface.2. Use Lagrange Multiplier to find the largest and smallest values of the function f(x, y) = x2 - 4xy + 2y subject to 2x - 3y =14