The diagram shows the movement of air as a result of convection currents. An illustration of a house with arrows in the clockwise direction. In the bottom left is a space heater. The arrows rising off the heater are labeled Y the arrows curving towards the ceiling are labeled W, the arrows going across the ceiling are labeled W and the arrows going down the wall on the opposite side of the room are labeled X.
At which point is the air at its highest density?

W
X
Y
Z

Aball has an initial velocity of 3 m/s. if there is no friction, what is the highest it could roll?

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

I’ve been stuck on this for a while