We are given the equation <span>an = (n^2/ sqrt(n^3+4n)) and asked to determine if the function is divergent or convergent. In this case, we find the limit of the function as n approaches infinity.
an = </span><span> (n^2/ sqrt(n^3+4n))
lim (n to infinity ) = infinity / infinty: ;indeterminate
Using L'hopitals rule, we derive
</span><span>lim (n to infinity ) = 2 n / 0.5* ( </span><span>n^3+4n) ^-0.5 * (3 n2 +4) : infinity / infinity
again, we derive
</span>lim (n to infinity ) = 2 (0.25) (( n^3+4n) ^-0.5))*(3 n2 +4) / 0.5* ( 6n + 4) :infinity / infinity
<span>
again,
</span>lim (n to infinity ) = 2 (0.25) (6n + 4) / 0.5* ( 6)* 0.5 <span>(( n^3+4n) ^-0.5))</span>
this goes on and the function is divergent
8 fluid oz=1 cup
2 cup=1 pint
so
16 fluid oz=1pint
so just divide 455 by 16 or estimate by rounding 16 to 15 and 455 to 450
we know that 45/15=3 so the andwer is 450/15=30
about 30 pints
A cheap way to go about it is, use the LCD and multiply both sides by it.
now, notice the denominators, x, 4, 4x, clearly the LCD is 4x, so let's multiply both sides by that, to do away with the denominators,
Answer:
6003
Step-by-step explanation:
Given : They harvested 5491 apples from one side of the McMillan farm.
They harvested 512 from the other side of the farm.
To Find : The total number of apples harvested at the McMillan.
Solution :
Since we know that
Number of apples harvested from one side of the McMillan farm = 5491
Number of apples harvested from other side of the McMillan farm = 512
Now we are supposed to calculate the total number of apples
So, we need to sum the number of apples of both the sides .
⇒5491+512
⇒6003
Hence , the number of apples harvested at the McMillan is 6003
