Question 1 you are standing on the surface of z=15 - (2x7 42 ) above the point ( 1 13 ) . ( a) specify the direction ( unit vector ) you should walk to descend fastest . (b) what is the slope of your path in this direction? Question 2 let fix, y) = V x 2 + 3y- 1 Use linensization of f at an appropriate point to estimate f( 1-01, 2. 9 9). show how you calculate your partial derivatives in detail as this is your chance to show case your knowledge step by step. For this question if the details are not presented no credit will be assigned even if the answer is correct Question . 3 Notes: The gradient of a function of three_ variables is defined in the same way as for two- Variables: J F ( x , y , 3 ) = with some properties discussed in lecture. The temperature of a gas at a point (x; y, 2 ) is given by T(x, y,2 ) = x - 5xy + zz What is the direction of maximum rate of change of temperature at the point ( 1, 2, 3 )