Answer 3,4,5 only please

0. Review a. For a function y = f(x). we can approximate the area under it using what shapes? b. Using this method, we divide the domain into what shapes? c. For y = x , approximate the area between the graph and the x-axis for 1 5 x $ 3 using 4 intervals (use any method c.g. left sum, right sum, etc.). d. Write down an integral for the exact area 1. For a function = = f(x.y). a. We can approximate the volume under it using what shapes? b. Using this method, we divide the domain into what shapes? 2. Your have contour maps for 6 different pieces of cake with a 2"x4" base. Let your z-values represent the height (in inches) of the cake. Pick one piece of cake and estimate the volume of the cake. Describe your method- what each number represents, and your method for setting up your calculation. 3. How could you get a better estimate of the volume? Be specific. 4. Write down the expression which finds the volume exactly. 5. Challenge: Can we use this approximation method if the domain is not a rectangle? If yes, how? If not, why not? A) What did you learn during this lab? Which activities helped you learn it? B) Is there anything you still find confusing