EXAMPLE 4 Find the moments of inertia Ix, Iy, and I0 of a homogeneous disk D with density rho(x, y) = rho, center the origin, and radius a. SOLUTION The boundary of D is the circle x2 + y2 = a2 and in polar coordinates D is described by 0 ≤ θ ≤ 2π, 0 ≤ r ≤ a. Let's compute I0 first: I0 = D (x2 + y2)rho dA = rho 2π 0 a 0 r2 r dr dθ = rho 2π 0 dθ a 0 r3 dr

Find the measure of the interior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon, a decagon, a 30-gon, a 50-gon, and a 100-gon.

10 ! what is the area of this figure? enter answer in box //

Juan earns $11 per hour and works at most 30 hours per week. identify the independent and dependent quantity in the situation, and find reasonable domain and range values. amount of money earned; hours worked; 0 to 30; $0 to $330 hours worked; amount of money earned; $0 to $330; 0 to 30 amount of money earned; hours worked; $0 to $330; 0 to 30 hours worked; amount of money earned; 0 to 30; $0 to $330