The transformation can be rewritten as and hence it maps the circular region into the elliptical region In this exercise, perform the integration by transforming the elliptical region of integration into a circular region of integration and then evaluating the transformed integral in polar coordinates. where is the region in the first quadrant enclosed by the ellipse 16x^2 16y^2

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

Janet is rolling a number cube with the numbers one through six she record the numbers after each row if she rolls of keep 48 times how many times should she expect to roll a 4

At noon a tank contained 10cm water. after several hours it contained 7cm of water. what is the percent decrease of water in the tank?