Solve the problem.The torque T on the arm of a robotic control mechanism varies directly as the cube of the diameter d of the arm. If T = 1043 lb ? in. for d = 0.99 in., find the expression for the instantaneous rate of change of T with respect to d.
A. 1075d2 lb ? in. /in.
B. 3225d3 lb ? in. /in.
C. 1075d3 lb ? in. /in.
D. 3225d2 lb ? in. /in.
Answer: D
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