# Science:Math Exam Resources/Courses/MATH102/December 2016/Question A 05

MATH102 December 2016
Other MATH102 Exams

### Question A 05

An object is placed on the kitchen table at time t =0(t in minutes). Let A be the average rate of change of the temperature of the object over the interval ${\displaystyle 5\leq t\leq 12}$. Let ${\displaystyle T(t)}$ denote the temperature of the object at time t. Which of the following statements is true?

(i) If the object is a pizza that was taken out of the oven, then ${\displaystyle T'(5)>A}$.

(ii) If the object is a bottle of milk that was taken out of the fridge, then ${\displaystyle |T'(5)|>|A|}$.

(iii) If the object is a pizza that was taken out of the oven, then ${\displaystyle |T'(12)|>|A|}$.

(iv) If the object is a bottle of milk that was taken out of the fridge, then ${\displaystyle T'(12)>A}$.

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