Let the region R be the area enclosed by the function f(x)=x^2+2f(x)=x 2
+2, the horizontal line y=8,y=8, and the yy-axis. If the region R is the base of a solid such that each cross section perpendicular to the xx-axis is a semi-circle with diameters extending through the region R, find the volume of the solid. You may use a calculator and round to the nearest thousandth.

It takes a total of 6 hours to fill up an inground backyard pool using a standard house. a function can represent this situation to represent the amount of water in the pool until it is full a function of time the hose is running. determine the domain for the function

Use the four functions below for this question. compare and contrast these four functions using complete sentences focus on the slope and y- intercept first, and then on any additional properties of each function

Cor d? ? me ? max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.