Integrate f(x, y,z)=4xz over the region in the first octant (x, y,z≥0) above the parabolic cylinder =y^2 and below the paraboloid =8−x^2−y^2

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74

Uestion 1(multiple choice worth 5 points) (05.02)alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. calculate the area of the isosceles trapezoid. isosceles trapezoid with top base 12 feet, bottom base of 18 feet, and height of 6 feet. 72 ft2 84 ft2 90 ft2 108 ft2

3x = 729 solve for x plz . it's urgent. will mark