Suppose that an oil spill in a lake covers a circular area and that the radius of the circle is increasing according to the formula r = f(t) = 12 + 1455, where t represents the number of hours since the spill was first observed and the radius r is measured in meters. (Thus when the spill was first discovered, t = 0 hr, and the initial radius was r: f(0) = 12 + 01-65 = 12 m.) (a) Let A(r) = JIFZ, as in Example 5. Compute a table of values for the composite function A o fwith t running from 0 to 5 in increments of 0.5. (Round each output to the nearest integer.) Then use the table to answer the questions that follow in parts (b) through (d). t o 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 A \\452 \\v \\477 \\I \\531 w \\612 w |720 W \\859 w 903 H Ix \\1500 W \\x | Ix (b) After one hour, what is the area of the spill (rounded to the nearest 10 m2)? 531 m2 (c) Initially, what was the area of the spill (when t = O)? 452 m2 Approximately how many hours does it take for this area to double? 2.65 y hr (d) Compute the average rate of change of the area of the spill from t = 0 to t = 2.5. (Round your answer to one decimal place.) X m2/hr Compute the average rate of change of the area of the spill from t = 2.5 to t = 5. (Round your answer to one decimal place.) X m2/hr