Lay a slinky on a table and secure one end to one edge of the table. Stretch the slinky across the length of the table and give the free end a quick push in the direction of the secured end. Answer the questions below. What type of wave was created? How do you know?

Estimate the wavelength of the wave produced.

Estimate the frequency of the wave produced. This is most easily estimated by counting the number of waves that pass the measuring device within a particular time interval as measured on your watch, or by counting the number of times the hand is shaken up and down.

Compute the velocity of your wave.

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