Find the average value of the function over the given solid. the average value of a continuous function f(x, y, z) over a solid region q is 1 v q f(x, y, z) dv where v is the volume of the solid region q. f(x, y, z) = x + y + z over the tetrahedron in the first octant with vertices (0, 0, 0), (2, 0, 0), (0, 2, 0) and (0, 0, 2).

Write numerical coefficient of y² in the expression 2x² - 15xy – 7y²

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?

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