So you convert 2 1/5 to 2 2/10 and you convert 3 1/2 to 3 5/10 so that it can have the same denominator. Then you change 2 2/10 to a decimal which will be 2.2 and you change 3 5/10 to a decimal which will be 5.5. Then you multiply 2.2 by 3.5 and get 7.7. Don’t forget about the 6. You multiply 7.7 by 6 and get 46.2. If you want to convert that back into a fraction, you will get 46 1/5 simplified
We want to find a solution such that
With these conditions, and .
Substituting the series into the ODE gives
so that the coefficients of satisfy
for , or
for . Notice that this implies a dependency of all beyond on , while takes on whatever initial value is given. In particular,
and so on up to
So we can extract two fundamental solutions such that , where
Recall that
which tells us
but is a constant solution and already accounts for the constant term in , and can be reduced to a simpler constant , leaving us with
The Wronskian is
so the two solutions are indeed independent as long as neither initial value is 0.
Answer:
The input value is x=1
Step-by-step explanation:
we know that
The intersection point both graphs is the point that produces the same output value for the two functions
Observing the graph
The intersection point is (1,1)
therefore
For x=1 (input value)
The output value for the two functions is equal to 1
X = half width of tent
Tan(40) = 6/x
x = 6/Tan(40) = 7.15
2x = 14.30 feet the width of the tent
Answer: infinite solutions
<u>Step-by-step explanation:</u>
If the left side equals the right side, then every value you input for the variable will make a TRUE statement --> which means there are infinite solutions.
For example: x + 1 = x + 1
Any value you choose for "x" will result in a true statement.
This is because they are the same line, which is another way of showing that they have infinite solutions.