a flat circular plate of radius a is initially at a temperature of 100°c. starting of the plate are held at 0°c dependent distribution u(r, e,t). hint: section 13.5 will as will your knowledge of bessel functions (ch 12). you will also have to transform the 11 part of the heat equation into polar coordinates like we did with curvilinear coordinates in the first half of the semester

What is the coefficient of kinetic friction μk between the block and the tabletop?

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

In the equation for the gravitational force between two objects, what does g represent?