Mathematics Homework Solutions

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?

Cashflows, Investments, etc.

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 - Functional Analysis Problem

Geometry - Functional Analysis Problem. See attached file for full problem description.

Derive the quantization formula

Derive the quantization formula based upon the variance of a sinewave and the variance of distortion due to quantization. This is the signal to distortion (SDR) ratio for a quantized sinewave. A is the amplitude of the quantized sinewave and Delta is the quantization interval of the analog to digital converter, and the quant ...continues

Volume of right circular cone is V=1/3 (pie)r^2h if height is twice the radius express volume V as as a function of r

Volume of right circular cone is V=1/3 (pie)r^2h if height is twice the radius express volume V as as a function of r

How fast is the car going?

If the speed of a car is a linear function of time in seconds and 10 is less than or equal to t for time is less than or equal to 30. if after each second the speed of the car increases by 5 feet per second and after 20 seconds the speed feet per second is 80 feet per second how fast is the car going after 30 seconds?

Complex hilbert space Bra-ket

In a complex hilbert space, prove the following: < f|g > = ¼ [ ||f + g||^2 - ||f - g||^2 + i||f + ig||^2 - i||f - ig||^2 ]

Evaluate integrals using Rayleigh's energy theorem

See attachment for problem description. I have added another document with a definition of Rayleigh's theorem and how to use it in a problem.

Riemann Stieltjes Integration

Suppose that f^2 is Riemann Stieltjes Integrable. Is f Riemann Stieltjes Integrable as well? Explain.

Integration

Define the following functions on the closed interval [-1, 1]: β(x) = { 0, for x<0 ½, for x=0 1, for x>0 Let f:[-1,1] R such that f is bounded. Show that f is Riemann Stieltjes integrable with ...continues

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