This is the exam of last yearI just wanna know how to solve it. I am not cheating

2 Math 230 - Exam 2 Fall 2021 4. (14 points) Consider a triangular plate with vertices (2, 0), (0, 2), and (-2, 0). The surface of the plate is given a charge density according to the function 9 (x, y ) = 3- xy+ 2y, in C/cm2. A) A particle placed at the point (0.5, 1) will travel in a direction which decreases charge density at the fastest rate. In which direction will the particle travel? (Your answer does not have to be in the form of a unit vector.) B) Calculate the total charge on the plate.Math 230 - Exam 2 Fall 2021 4. (14 points) Consider a triangular plate with vertices (2, 0), (0, 2), and (-2, 0). The surface of the plate is given a charge density according to the function 9 ( 2 , y ) = 3 - xy+ 2y, in C/cm2. A) A particle placed at the point (0.5, 1) will travel in a direction which decreases charge density at the fastest rate. In which direction will the particle travel? ( Your answer does not have to be in the form of a unit vector.) B) Calculate the total charge on the plate. A ) 7 9 = = = when 79 = co, 0> = $x x= 2 (0, 2 ) lyzo 19105,1 ) =