(Solved) : Use Taylor S Formula Calculate Linear Quadratic Approximations Function F X Y Sin E X 2 Y Q35594775
Use Taylor’s formula to calculate linear and quadraticapproximations to the function f(x,y) = sin(πe^(−x^2−y^2)) at thepoint (0,0). Use your formulas to make two estimates of the valueof f(0.01,0.01).
Compare the linear and quadratic estimates with the correctvalues. Repeat your estimate comparisons for f(0.1,0.1),f(0.5,0.5), and f(1,1). How good are your estimates? What goeswrong with the approximations as you move further from (0,0)?Sketch and label one or more contour plots to help explain yourconclusions.