1. Select one of the 5 Great Lakes to use in this Lab. Which lake did you select? Write a paragraph about the lake you selected. 2. Go to https://www.google.com/maps/place/The+Great+Lakes/ to map your Great Lake selection. Print a copy of your map. Noting the scale, divide your lake into regions of geometric shapes such as rectangles, triangles, and circles. Using the area formulas for these shapes, estimate the surface area of your Great Lake. What is the estimated surface area for your chosen lake? Show your work to include which shapes, the number of shapes used, and the calculated area of each. 3. Use calculus to approximate the area of your lake. To do this, divide your lake into regions that resemble common functions (parabolas, polynomial, exponential, trigonometric, etc.). Noting the scale, use graph paper to graph your functions and determine limits of integration. What is the estimated surface area for your chosen lake? Show your work to include which functions, and the calculated areas of each region. a. Now, go to https://www.britannica.com/topic/Areas-and-Volumes-of-the-Great-Lakes-1800353 and record the actual surface area of your lake in square miles. What is the percent error using your calculation with geometric shapes? What is the percent error using your calculation with functions and calculus? Discuss why there is a difference in the two percent errors