Problem 3. Consider the function

3

f(x, y) = e siny + e sinx.

Find the Linear and Quadratic Taylor polynomials (denoted L(x, y) and Q(x, y), respec-

tively) for f(x, y) near the point (1,0). Then, use each of them to obtain an approximation

of f(0.99, 0.01).