Upload your work for this problem. Show all steps with proper notation throughout. use g(x,y) = x3y - 5y2 + sin(x-2) + 30 and the point (2, 4) to answer the questions below. Give exact simplified answers. (a) Find Vg(x,y) . (b) Find the direction in which the directional derivative of g at (2, 4) is greatest. Gie your answer as a vector. (c) Suppose you are standing on the surface g at (2, 4). Find the slope on the surface as you leave this point and head towards (7, 2). (d) Find an equation of the tangent plane to g at the point (2, 4). For instructor's notes only. Do not write in the box below. Type here to search USD/JPY -1. 3 8 e O W E R T Y U O S D G H K X C V B N M