Consider the region bounded by y = ex, x = 0, y = 0, and the line x = 3 . A solid is created so that the given region is its base and cross-sections perpendicular to the x-axis are semi-circles. Set up a Riemann sum and then a definite integral needed to find the volume of the solid.

A. find the power of the test, when the null hypothesis assumes a population mean of mu = 450, with a population standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence intervals of 95 b. find the power of the test, when the null hypothesis assumes a population mean of mu = 644, with a population standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence intervals of 95% c. find the power of the test, when the null hypothesis assumes a population mean of mu = 510, with a population standard deviation of 126, the sample size is 10 and the true mean is 529.44 with confidence intervals of 95