When Lindsay first spotted the circular oil slick, the radius of the circle was 70 meters. She noticed that the radius was increasing by 6 meters per hour. This means the radius can be described by the formula r=70+6t, where T is the number of hours since Lindsay First saw the oil slick. So the area in square meters of the oil slick after the hours is A(t)= (70+6t)^2

1. What was the area covered by the oil slick when lindsay first saw it at t=0?

2A. at what average rate did the oil slick grow during the first 2 hours after Lindsay's initial observation?

2B. At what average rate did the oil slick grow during the first half-hour after lindsays initial observation?

2c. At what average rate did the oil slick grow during the 15 minutes before Lindsay's initial observation?

3.At what rate was the oil slick growing at the instant when Lindsay first saw it?

(Be sure to show work as well as the answer for each question)