Lab 1 pre-lab read carefully the "experimental uncertainties" document located in the resources folder of the lab course in sakai website. then answer the following (to be handed in at the beginning of lab 1) you decide to purchase an elliptical table for your apartment, but you need to make sure the area of the tabletop is large enough. while visiting your friend you find they have a table that might work but they aren't sure precisely what its area is. but neither of you know precisely what its area is so you set out to determine it. you do a bit of research and learn that the area of an ellipse is a = πab where a is the largest radius of the ellipse and b is the shortest. using a tape measure (smallest increment 1 mm) you, your friend, and their brother and sister each make a measurement of a and b you friend brother sister 96.4 cm 95.5 cm 94.7 cm 95.1 cm 55.1 cm 56.0 cm 54.8 cm 55.3 cm suggest reasons for why each measurement of a and b weren't exactly the same determine the area of the tabletop along with the uncertainty in it. after further research you find the manufacturer's specifications for the elliptical table: a = 95.25 cm and b = 55.245 cm. are these consistent with the measurements your group made? the area calculated from the manufacturer's specifications consistent with the area you calculated? explain how you decided a. b. c. in preparation for lab 1, review your class notes from the first lecture and read through chapter 33 sections 1 through 4 in the textbook.