Split up the interval [0, 3] into 3 equally spaced subintervals of length . So we have the partition
[0, 1] U [1, 2] U [2, 3]
The left endpoint of the -th subinterval is
where .
Then the area is given by the definite integral and approximated by the left-hand Riemann sum
Answer:
Step-by-step explanation:
So first, let's get rid of the parentheses. We can multiply it out to get . We know that the square root of 16 is ±4, so now our equation is ±4 -
=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 -
=11. We can use inverse operations to make the a little easier to solve: -7=
. We divide both sides by
to get
, which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by
(which is equal to one so we can use it) which is equal to
. Let's finish this by simplifying it.
(2x
). We can simplify it further by simplifying the 2, making it
.
Hope this wasn't too confusing! I'll answer any questions.
