Hello can you provide a response to each part of the problem? Please provide all of the steps and explanations/math identities behind the steps for my understanding (because I am very new to calculus). This involves simple Vector Calculus/advanced math topics.

Limits with Two Variables Find the limit in Exercise 1 cosy + 1 lim (x, y)-> (7/2,0) y - sin x No Limit Exists at the Origin By considering different paths of approach, show that the functions in Exercise 4 have no limit as (x, y) - (0, 0). x- y 4 . g(x, y) = xty Calculating Second-Order Partial Derivatives Find all the second-order partial derivatives of the functions in Exer- cises 41-50. 44. h(x, y) = xey + y + 1