2 calc questions

1.      http://www.youtube.com/watch?v=R_aqSL-q6_8&feature=related

http://www.youtube.com/watch?v=iUzfsUOl3-A&feature=fvwrel

and/or view:

https://www.math.duke.edu/education/webfeatsII/gdrive/Team A/OurPage.htm

Using knowledge of volume of solid integration, explain how to find the volume of an egg. Construct a mock integral or integrals (use a and b for limits and not actual values) to show how you would set up the integration to find the volume for any egg once we knew the specific values of a, b, etc..

2.      Watch: http://academicearth.org/lectures/least-squares

 and/or

view: http://www.efunda.com/math/leastsquares/leastsquares.cfm

 Consider the following dataset: (20,525) (17,57) (10,19) (9,18) (7,14) (16,41) (3,5) (5,10) (10,23) (12,24) (9,15) (20,571) (18,102) (16,56). Calculate a best fit equation using the Least Squares Method. Now, add 20 to each y-value of the dataset. Explain what happens to the Least Squares equation in this case. Contrast this with what happens when you multiply each x-value by 2 and then recalcuate the Least Squares equation.