Suppose a cylindrical habitat in space 6.80 km in diameter and 24 km long has been proposed. such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. this would all be held in place by rotation of the cylinder about its long axis. how fast would the cylinder have to rotate to imitate the earth's gravitational field at the walls of the cylinder? answer in rad/s.

Aa a of 22 m/s at an of 36.9 .be . a. b. c. (3)x y of? (3)go? (4) () it to to ?

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit

The process of a material going through a change of state from a gas to a liquid