Uniform Convergence of a Sequence

Here is a problem I am working on for my Analysis class, and I would like to see a proof: Let (f_n) be a sequence of continuous functions on R--->R^q which converges at each point of the set Q of rational numbers. If the set {f_n} is uniformly equi-continuous on R, show that the sequence converges at every point of R and that the convergence is uniform on every compact set of R.

Three gears whose ratios are 17, 16 and 15 cm. are supported by a triangular base that has as its vertex the centre of each gear. What is the measure of those interior angles of the triangle?

See attached file for full problem description. 1) Find the canonic equation of the straight (recta) in the space(espacio), with R 2) Calculate the scaling product of the vectors r y s knowing that r = 3i + 4j; that the module of the vector / s/ = 6; and the angle that both vectors form is 120° 3)Find the following limits a) = b) = 4) Find the value of the derivative of y = , so x = 4 5) Three gears whose ratios are 17, 16 and 15 cm. are supported by a triangular base that has as its vertex the centre of each gear. What is the measure of those interior angles of the triangle? ... click for more

Set of functions (Fourier Series and Signal Spaces)

Functions, Interval. See attached file for full problem description.

How do I calculate the after tax cost of new debt and common equity?

How do I calculate the after tax cost of new debt and common equity? Debt = $104,000,000., Common Equity = $156,000,000., and Total Liabilities and equity = $260,000,000.

WACC

If the current interest rate on new debt is 9% and the marginal tax rate is 40% and the capital structure is: Debt: $104,000,000 Common Equity: $156,000,000 Total Liabilities and Equity: $260,000,000 How do I figure the weighted average cost of capital?