MAT 117 - Spring 2021NAME: ____________________________________Problem Set 3Directions: Complete the problems on this sheet.All problems must be completed by the end of class to earn full credit.Show all work and include appropriate units where applicable. Box all final answers.1.When oil was spilled out in the middle of a lake, it spread out on the surface of the water in a circularpattern. The radius of the circular pattern increased at a rate of 4 feet per minute. (𝑟(𝑡) = 4𝑡𝑓𝑡/?𝑖?A. [3 pts]How fast was the area of the circular pattern increasing per minute? Construct the compositefunction to show how the area was increasing each minute.(𝐴(𝑟) = 𝜋r2ft2/?𝑖?).B. [2 pts]Find the radius of the circular pattern of oil 5 minutes after the oil starts to spread.C. [2 pts]Find the area of the circular pattern of oil 5 minutes after the oil starts to spread.2.Let𝑓(𝑥) = 5𝑥2)