Question
On a certain day, the temperature, in degrees Fahrenheit, in a small town t hours after midnight (t= 0) is modeled by the function \(g(t) = 65 − 8 sin (\frac{πt}{12})\) . What is the average temperature in the town between \(3 A.M. (t= 3)\) and \(6 A.M. (t= 6)\), in degrees Fahrenheit?
A \(57.609\)
B \(57.797\)
C \(58.172\)
D \(59.907\)
Answer/Explanation
Question
What is the average (mean) value of \(3t^{3}-t^{2}\)over the interval \(-1\leq t\leq 2\)?
(A)\(\frac{11}{4} \) (B)\(\frac{7}{2}\) (C)8 (D)\(\frac{33}{4}\) (E)16
Answer/Explanation
Ans:A
Question
The average (mean) value of \(\sqrt{x}\) over the interval \(0\leq x\leq 2\)
(A)\(\frac{1}{3}\sqrt{2}\) (B) \(\frac{1}{2}\sqrt{2}\) (C)\(\frac{2}{3}\sqrt{2}\) (D) 1 (E)\(\frac{4}{3}\sqrt{2}\)
Answer/Explanation
Ans:C
Question
The average value of \(\frac{1}{x}\) on the closed interval [1,3] is
(A)\(\frac{1}{2} \) (B) \(\frac{2}{3}\) (C) \(\frac{ln 2}{2}\) (D) \(\frac{ln 3}{2}\) (E) ln 3
Answer/Explanation
Ans:D