Object P cools while in contact with cooler surroundings

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Object P cools while in contact with cooler surroundings. Its temperature is recorded as follows: Time (s): 0 10 20 30 Temperature (∘^\circC): 90 70 55 50 Determine which 10 s interval shows the greatest magnitude of temperature change, and state that average rate in ∘C s−1^\circ\text{C}\,\text{s}^{-1} (report a positive value).

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