Assume the earth is a perfect sphere with a diameter of 8000 miles, find the angular velocity and linear speed of a point on a 10 mile high mountain on the equator. The earth rotated once every 24 hours.

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.