Answer: .
Step-by-step explanation:
Answer:
It is 1/1536
Step-by-step explanation:
You divide 1/512 by three since it is a cube.
Answer: 
Step-by-step explanation:
It is important to remember the definition of "Linear pair angles".
By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.
Based on this, we know that the angles
and
are supplementary, which means that they add up to 180 degrees.
So, knowing that:

We can write the following expression and solve for "x":

Therefore, substituting, we get that the measures of the angles
and
are:

Split up the interval [2, 5] into

equally spaced subintervals, then consider the value of

at the right endpoint of each subinterval.
The length of the interval is

, so the length of each subinterval would be

. This means the first rectangle's height would be taken to be

when

, so that the height is

, and its base would have length

. So the area under

over the first subinterval is

.
Continuing in this fashion, the area under

over the

th subinterval is approximated by

, and so the Riemann approximation to the definite integral is

and its value is given exactly by taking

. So the answer is D (and the value of the integral is exactly 39).
The correct choice is D!
Hope this helped you out! :)