Exponential & Logarithmic Functions

Find the range of f(x) =3-e^x?

Compound interest

If $2500 is invested in a long-term trust fund with an interest rate of 5% compounded continuously, what is the amount of money in the account after 25 years?

Exponential/Logarithmic Functions

Find the domain of the function: 3 + ln(x - 1)

Logarithmic Functions

Evaluate the expression log(4) 64. The 4 is suppose to be on the lower right side of log.

Logarithmic Function

Write as the logarithm of a single quantity: 4log(10) x-5log(10) (x-4). The "10's" represent the mathematical form that is suppose to be on the lower write side of each log.

Real Analysis : Fourier Transform for L1R

Proof regarding a Fourier Transform for L1R. Show 1/2pi ∫-1 -->1 (1 -|y|)e^(iyx) dy = 1/2pi [(sin x/2)/(x/2)]^2 Please see the attached file.

Onto, one to one

Assume f:A->B and g:B->C. a) Show that if f and g are both onto, then g o f is onto b) Show that if g o f is one-to-one, then f is one-to-one c) Show that if g o f is onto and g is one-to-one, then f is onto

Functions and Graphs

Having trouble researching the number of deaths in the US each year due to each of the following medical conditions in each of these years: 1985, 1990, 1995, and 2002. heart disease, cancer and aids e.g. The websites keep bringing up different types of cancer, nothing is specific. Totally frustrated... e.g. 1980 throug ...continues

Fixed Interest

If you invest $100 at the end of each month in a fixed interest mutual fund paying annual interest of 6% compounded monthly what will your investment be worth after 10 years?

Hilbert Space : Absolute Continuity

Let H be the collection of all absolutely continuous functions f [0,1] -> F, where F denotes either real or complex field ) such that f (0) = 0 and . If for f andg in H, then H is a Hilbert space. Please see the attached file for the fully formatted problem.