[GET ANSWER] 2.3 Taylor's theorem of function of two variables 1. Expand e^xsin y in powers of x and y as far as terms of third degree. 2. Find the expansion for cos x cos y in powers of x, y upto fourth order terms. 3. Find the first six terms of the expansion of the function e^xlog (1+y) in a Taylor's series in the neighborhood of the point (0,0). 4. Expand e^xcos y near the point (1, (π)/(4)) by Taylor's Theorem. 5. Obtain Taylor's expansion of tan ^-1(y)/(x) about (1,1) up to and including t