Evaluate the integral by making an appropriate change of variables such that the new region of integration is a rectangle with sides parallel to the coordinate axis
double integral under r of xy^3 where r is the region in the first quadrant bounded by y=x y=3x xy=1 xy=4

How do you find principle and simple interest

A. 90 degrees b. 45 degrees c. 30 degrees d. 120 degrees

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297