Consider the function: f (x,y) = 2x² - 4x - xy² + 2y² - 3. Explain and then use the chain rule for small changes to estimate the change in f that occurs when (x,y) changes from (0,1) to (0.01, 0.99).

Find an equation for the linear function which has f (0.5) = 0.8 and f (0.8) = -0.3. f (x) =

The point Q (-4,7) lies on the function f(x). Suppose f(x) is transformed according to: y=-3 f [0.5(x + 3)] + 5. Determine the x-coordinate of the transformed point, Q'. Enter only the x-coordinate, a single value, rounded correctly to 2 decimal places (ie 3.46 or 7.00 or 1.50)

Estimate f(−1.99,−1.03) given that f(−2,−1)=−3, fx(−2,−1)=4, and fy(−2,−1)=1.