Integrate f(xyz) = 8xz over the region in the first octant above the parabolic cylinder z = y^2 and below the paraboloid z = 8−2x^2−y^2.

Acircle has a circumference of 2 pi cm. which statement about the circumference and area is true? a comparison of the area and circumference is not possible since the area cannot be determined. the numerical values of the circumference and area of the circle are equal. the numerical value of the circumference is greater than the numerical value of the area. the numerical value of the circumference is less than the numerical value of the area.

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.