Find the center of mass of the following plane region with variable density. describe the distribution of mass in the region. the triangular plate in the first quadrant bounded y=x, x=0, and y=2-x with p(x, y) =4x+9y+2. set up the double integral that gives the mass of the region . use increasing limits of integration.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

You love to play soccer! you make a shot at the net 8 times during a game! of those 8 attempts, you score twice. what percent of the time did you score?

If g^-1(x) is the inverse of g (x) which statement must be true