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 ).

Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)

Which is the equation of a line perpendicular to the line with the equation 3x+4y=8

Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2xdesmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2x