Let x and y denote the coordinates of a point uniformly chosen in the circle of radius 1 centered at the origin. that is, their joint density is f(x, y) = 1 π for x 2 + y 2 ≤ 1. find the joint density function of the polar coordinates r = (x2 + y 2 ) 1/2 and θ = atan( y x ).

What are the first 4 terms in the multiplication pattern given by the formula 2×4n

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.

The art class is planning to paint a mural on an outside wall. this figure is a scale drawing of the wall. width: 11 in length: 28 in unit rate: 1.5 ft per in. write the ratio of the area of the drawing to the area of the actual mural. write your answer as a unit rate. show that this unit rate is equal to the square of the unit rate 1.5 ft per in