This ODE has characteristic equation
which has roots at 
. Then the characteristic solution to the ODE is
Any irrational number produces an irrational number when added to 3/4.
This is because 3/4 is rational (it can be represented as a ratio of two integers). You can get an irrational number only when you add rational to irrational (because rational to rational produces a rational sum).
Answer:
The total cost is $81.78
Step-by-step explanation:
First lets calculate the tip
tip = cost * percent of tip
tip = 65.42*.25
tip = 16.355
Which rounds to 16.36 since we are working with money and round to the nearest cent
total cost = cost of cut and blowout + tip
= 65.42 +16.36
=81.78
The difference between set of whole numbers and a set of integers is that:
Whole numbers = {0, 1, 2, 3, 4, 5...}
Integers = {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...}
If we name contents of the first set as n, in the second set you can have 2n-1 numbers (because we count 0 only once in both sets).
