3(n-5)-2(n+8)=11 solve
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Answer:
The rational numbers are and the irrational functions are
.
Step-by-step explanation:
A rational number can be expressed in the form of , where p and q are integers and q is not equal to 0. For example
.
An irrational function can not be expressed in the form of , where p and q are integers and q is not equal to 0. For example
.
If any number is multiplied by a irrational number then the resultant number is an irrational number.
By the above definition we can conclude that:
The number is a rational number.
Therefore is an irrational number.
Therefore 6.25 is a rational number.
Therefore 0.01045 is a rational number.
The number is a rational number.
The number is an irrational number.
Therefore is an irrational number. The numbers with recursive bar are always rational numbers.
First, we need to solve the differential equation.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.