Question 1 ( 0) Given fix , y ) = 2 , find L( x, y ) at point (8 , 1 ) ( follow 1+ 4 the procedure from example in the notes!). Then use it to estimate 7.98 and Compare it with the value using a Calculator. 2.02 ( b) Now use a line approximation, 2(x,y ) to estimate V( 3.01 ) 2 + ( 3.90)2 by first identifying an appropriate function g(x,y) and a point ( x0, yo ) . Show all your work and explain your choices for 9 and the point.Question 2 Suppose you are hiking on a path modeled by 2= xyty- x and you are at the point ( 2 , 1 , -1 ). Assume that positive x - axis points east and positive y-axis Points north . ( 9) Calculate the slope you would encounter if you headed West from your position . Explain your set up! ( b) calculate the slope if you headed North - West from your Position . Explain your set up ! () calculate the slope if you headed South - East from your Position . Explain your set up ! (d calculate the stepest Slope you would encounter from your position . ( es use the procedure from "Other Examples" to find the direction you would need to head towards to encounter Zero slope