A wallet containing five 100-peso bills, four 200-peso

Find the first five terms of the sequence defined by each of these recurrence relations and initial conditions

an = nan−1 + n2an−2, a0 = 1, a1 = 1

 an = an−1 + an−3, a0 = 1, a1 = 2, a2 = 0

Use the method of your choice to factor the trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 

6y^2 − 23y + 15

discrete math 
functions pigeonhole princple 
How many multiples of 11 are in the set $\{1,2,3,..,901\}$ ?

Prove if $F\left(\sqrt[n]{a}\right)$ is unramified or totally ramified in certain conditions

In a jet engine a diffuser decreases the kinetic energy of the air entering the engine.  The air enters a the diffuser at 132 kPa and 25°C with a velocity of 502 m/s and leaves at 229 kPa and 64°C.  The heat lost from the diffuser is estimated to be 6 kJ/kg.  Determine the exit velocity in m/s to 1 decimal place.  Take the specific heat at constant pressure of air to be 1.009 kJ/(kgK).

Solve the initial value problem