Pens cost 15 pence each.
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The function
describes a parabola with vertex = (5, 3).
The graph of the function is attached.
describes a parabola with vertex = (5, 3).
The graph of the function is attached.
Answer:
Step-by-step explanation:
All those words! Just use math.
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.
Answer: Ian's calculation was wrong.
Step-by-step explanation:
Given: the amount of fat in 4 cups of chicken soup=
Then, the estimated amount of fat in 1 cup of chicken soup=
Now, to divide 13 by 4 we can use estimation that 13 is near to 12 anhd 12 divided by 4 is 3.
Therefore, the estimated amount of fat in 1 cup of chicken soup =3
But Ian calculated that the amount of fat in 1 cup soup = 0.331 which is estimated to 0.
Therefore, Ian's calculation was wrong.