Question 1:

Use a tangent plane at (-8,-4) to approximate the value of the following function at the point ( 7.9, 4.1): m2y22z=54 Present your answer accurate to 4 decimal places. Determine if a function is differentiable. Use the book's definition of "error term" (@ link ) The definition of the error function also defines an "error term" E(x, y). Find E(x, y) for the function f(x, y) = x - y at the point ( - 1, 1).Use the total differential to approximate the change in a function of two variables. Find the differential of the function at, 3;) = 9:132 2mg 93;2 at the point (8, 5) using Am = 0 and A3; = 0.25 dz: Now find Az and compare it to your answer above Az= Hint: If entering a decimal, round to at least 5 places Find the differential of the function f(a:, y) = 356932\" at the point (4, 2) using Ax = 0.25 and A3; = 0.1 Now find A2 and compare it to your answer above Hint: If entering a decimal, round to at least 5 places