a) 5.271 13) At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the instant when the surface area is 5 square meters and the radius is increasing at the rate of 1/3 meters per minute? b) 1.700 c) 1.667 d) 1.080 e) 2.714 14) A rectangle has one side on the x-axis and the upper two vertices on the graph of y = el - 2x2 ) a) 1.649 Give a decimal approximation to the maximum possible area for this rectangle. b) 1 . C ) - 1 . d) 0.5458 e) 0.6065 In(128/25). 15) A rough approximation for In(5) is 1.609. Use this approximation and differentials to approximate a) 1.633 b) 1.621 C) 1.632 d) 1.585 e) 1.597 16) The function f ( x ) = Inx - x x51 mx - + 5 1