Determine where the given function is increasing and where it is decreasing. f(x) = x3 - 5x4
A. Decreasing on 
, increasing on 
B. Increasing on 
, decreasing on 
C. Decreasing on 
and 
, increasing on 
and 
D. Increasing on 
and 
, decreasing on 
and 
Answer: B
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Solve the problem by integration.Find the volume generated by rotating the area bounded by 
and 
about the 
A. 3? ln 
B. 
? ln 
C. 
? ln 
D. 
? ln 
Find the exact value using a double-angle identity.sin 
A. 
B. - 
C. - 
D. 
Divide.
A. 1400 B. 35,000 C. 14,000 D. 3,500,000
Solve the problem. Round your answer, if appropriate.Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 6.00 inches at the top and a height of 10.0 inches. At the instant when the water in the container is 7.00 inches deep, the surface level is falling at a rate of 1.2 in./sec. Find the rate at which water is being drained from the container.
A. 66.5 in.3/s B. 96.1 in.3/s C. 63.5 in.3/s D. 79.2 in.3s