Atrapeze artist, with swing, weighs 800 n; he is momentarily heldto one side by his partner using a horizontal force so that theswing ropes make an angle of 30o with thevertical. in such a condition of static equilibrium, what isthe horizontal force being applied by the partner?

More solar radiation is absorbed by earth’s surface than by

Juliette sets the initial velocity to +10 m/s, the acceleration to zero, and clicks “start.” how can shakina describe the subsequent motion of the car juliette controls?

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