A circular steel plate is cooling so that its radius is shrinking at a steady rate of
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A circular steel plate is cooling so that its radius is shrinking at a steady rate of 0.04cm/s. When the radius reaches 8cm,
(i) find the instantaneous rate at which the area of the plate is decreasing,
(ii) compute the corresponding rate of change of the circumference.
Express both answers with correct units and sign, indicating decrease.