Solve the problem.The function f(x) = x2 describes the area of a square, f(x), in square centimeters, whose sides each measure x centimeters. If x is changing,(i) Find the average rate of change of the area with respect to x as x changes from 6 centimeters to 6.1 centimeters.(ii) Find the average rate of change of the area with respect to x as x changes from 6 centimeters to 6.01 centimeters.(iii) Find the instantaneous rate of change of the area with respect to x at the moment when x = 6 centimeters.

A. (i) 1.21 square centimeters per centimeter;
(ii) 0.1201 square centimeters per centimeter;
(iii) 12 square centimeters per centimeter
B. (i) 12.01 square centimeters per centimeter;
(ii) 12.001 square centimeters per centimeter;
(iii) 3 square centimeters per centimeter
C. (i) 12.1 square centimeters per centimeter;
(ii) 12.01 square centimeters per centimeter;
(iii) 12 square centimeters per centimeter
D. (i) 732.1 square centimeters per centimeter;
(ii) 7212.01 square centimeters per centimeter;
(iii) 3 square centimeters per centimeter


Answer: C

Mathematics

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