1) Use Linear Approximation to estimate the value of f(3.1, 1.1) when f(3, 1) = 2 and fx(3, 1) = 3 , fy(3, 1) = 1 .

2) Find an equation for the plane passing through the origin that is parallel to the tangent plane to the graph of z = f(x, y) = x^2 2y^ 2 x + 3y at the point (1, 1, f(1, 1)).

3)Use Linear Approximation to estimate the change, z, in z = 6x^ 2 + y^2 as (x, y) changes from (4, 2) to (4.08, 2.05).

4)Find the linearization, L(x, y), of f(x, y) = y x at the point (9, 1).

5)Determine dz/dt when z = x ln(x + 3y) and x = sin t , y = cost

6) Use the Chain Rule to find the partial derivative w s for w = x^ 2 + y^ 2 + z^ 2 , x = st, y = s cost, z = s sin t when s = 11, t = 0.