APSC248-Assignment 4 (Due 11:59PM, Oct. 25] I 2021 Problem 1: (5 points) (Gradient vector) Given f(x,y) = 12 + ya, find Ff. Graph some level curves and vectors 7f at the following points: P1 (1.1), P2(3,4), P3(-1,-2). Check out this website for visualization of surface and gradient vector: h :ffmathinsi Lo directional derivative adient introduction Problem 2: (10 points) (a) Finds normal vector ofthe surface at\" + 3y2 + z2 = 23 at P(4. 1. 3). (Ans: mm,\" = as + 61 + 6).?) 0:) Find the equation for the tangent plane to the surface 2: -6xz+ 10)!2 at point (2.1.44). (Ans: 24x 20y + z = 14)