Use Taylor’s formula to find a quadratic approximation of ex sin y at the origin. Estimate the error in the approximation if |x| ≤ 0.1 and |y| ≤ 0.1.

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Taylor's Formula for f(x, y) at the Origin ƒ(x, y) = f(0,0) + xfx + yƒy + 1⁄/17 (x²ƒxx + 2xyƒxy + y²ƒ¸) 2! + 370x³fxxx ³fxxx + 3x²yƒxy + 3xy²fxy + y³fywy) + 1 1! (29+1 (n + 1)! an+1 f +1 an+1f + (n + 1) "y arniy n! ( xn +n-ly. an f ax an+1 +yn+1. (+117) | dy+1 (cx, cy) an f ax-lay an dy M.