A lamina with a density function p(x, y)= 2xy kg / m occupies the region Dy in the xy-plane. D is the 1 area below y=-x, above y=x-3, and above the x-axis (pictured below). 1 y=-x y=x-3 6. Setup the integral that you would use to find M,, the moment of the lamina about the x-axis.

Q: "ind the centroid of the quarter circle x + y <7, y 2 |x| assuming the density ő(x, y) = 1. Use…

A: We need to find mass(M) and moment of inertia about x and y axis of the lamina  Mass of lamina…

Q: Ris the region bounded by the functions f(x) = 2 + Jz and the g(x) and the lines x=0 and x=4.…

A:

Q: R is the region bounded by the functions f(x) = 3 + sin(x) and the g(x) = VT +1 and the lines x=0…

A: Given f(x)=3+sin(x)

Q: The semicircular region bounded by the curve x = √9 - y² and the y-axis, is revolved about the line…

A:

Q: A lamina occupies the region inside the circle x2 + y2 = 10y but outside the circle x2 + y2 = 25.…

A: x2+y2=10yx2+y2=25Equation of two circles.

Q: Find the volume of the region outside the sphere p = 5cos(φ) and inside half sphere p = 5 with φ =…

A: