(See attached file for full problem description)
I need help with 7C, 10 and 12
7. Find the integral...
10. A beacon on a lighthouse 2000 m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500 m from P? (7 points)
12. Find the rectangle of maximum area that can be inscribed in the ellipse
Please see the attached file for the fully formatted problems.
Integrals, Rate of Change and Ellipses are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.