Question
If n is a non-negative integer, then \(\int_{0}^{1}x^{n}dx=\int_{0}^{1}(1-x)^{n}\) dx for
(A) no n (B) n even, only (C) n odd, only (D) nonzero n, only (E) all n
▶️Answer/Explanation
Ans:E
Question
A rain barrel collects water off the roof of a house during three hours of heavy rainfall. The height of the water in the barrel increases at the rate of r(t)= \(4t^{3}e^{-1.5t}\) feet per hour, where t is the time in hours since the rain began. At time hour, the height of the water is foot. What is the height of the water in the barrel at time hours?
(A) 1.361 ft
(B)1.500 ft
(C)1.672 ft
(D)2.111 ft
▶️Answer/Explanation
Ans:D