Write the riemann sum to find the area under the graph of the function f(x) = x3 from x = 2 to x = 5.

There are several unique characteristics of qualitative research that make it distinct from quantitative research. describe the aspects of qualitative research and the elements of design that contribute to the rigor of the work. what actions of the researcher can compromise the integrity of the findings?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Aswimming pool measures 22ft by 12ft and is 4ft deep. if the pool is being filled at 2.5 cubic ft per minute, how long will it take to fill the pool?