Pick all correct answers

Question Pick all correct answers: If f(x) = 3x^2 + 4ln(x) + 9, then f(x) is:... a. Big-Theta of g(x) = x^2 b. Big-Omega of g(x) = 1 c. An unimpressive time-cost function for a sorting algorithm d. Big-O of x^5 e. Big-Omega of x^5

Please select all the situations below that are POSSIBLE

Question Please select all the situations below that are POSSIBLE and do not mark those that are IMPOSSIBLE. Each list of numbers is a degree list (list of the degrees of all the vertices) of a graph. If there are extra restrictions - the graph is simple, or a tree, etc - it will be noted in the question. a. Graph, deg ...continues

Uniform Convergence of a Sequence

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 equicontinuous on R, show that the sequence converges at every point of R and that the convergence is uniform on every compact set of R. keywords: equi-continuous

Vectors and Limits

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 ...continues

Set of functions (Fourier Series and Signal Spaces)

Functions, Interval. See attached file for full problem description. Given the set of functions f1(t) = A1*exp(-t) f2(t) = A2*e^(-2t) Defined on the interval (0, infinity). (a) Find A1 such that f1(t) is normalized to unity on (0, infinity). Call this function PHI_1(t). (b) Find B such that PHI(t) and f2 ...continues

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.

Weighted Average Cost of Capital ( 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 (WACC)?

Reinvestment Rate

In what sense is a reinvestment rate assumption embodied in the NPV, IRR, and MIRR methods and what is the assumed reinvestment rate of each method?

Net Present Value, Modified Internal Rate of Return and Regular Payback

Pure Life (a juice company) owns a building, which is fully depreciated. Equipment Cost: $200,000. plus an additional $40,000. for shipping and installation Inventories would rise by $25,000. and accounts payable would go up by $5,000. All of these costs would be incurred at t =0. The machinery could be depreciated und ...continues

Geometry : Congruent Triangles

Please see the attached file for the fully formatted problem.