A sphere of radius 0.100 m is placed in a container of water and immediately begins sinking toward the bottom of the container. Once the object is completely submerged in the water, the apparent weight of the object is 69.8 N. Find: a) The mass of water displaced b) The buoyancy force on the sphere c) The true mass of the sphere d) The density of the sphere

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