
describes a sum of the areas of 50 rectangles, each of width

, and the

th rectangle has height

.

ranges from a small positive number to 1, which means the integration interval must be
![[0,1]](https://tex.z-dn.net/?f=%5B0%2C1%5D)
. The sum is then the right-endpoint Riemann sum of

over the interval with

equally spaced subintervals, so

The sum itself evaluates to roughly 0.676, while the exact value of the integral is

.
Answer: 
Step-by-step explanation:
The equation of the line slope-intercept form is:

Where m is the slope and b is the y-interecept.
The standard form is:

You know that must be parallel to
, therefore both have the same slope. So you must solve for y:

Substitute the slope m=-1. Since the line passes through the origin b=0:

Then in standar form is:

Use similar volume to calculate
which is the (ratio of edges)^3 = (ration of volume)
so just put the numbers in, let the volume of smaller pyramid be y.
(3/4)^3 = y/320
27/64 = y/320
y=135in3
Hi there!
Let's first determine the x-intercept. When dealing with an x-intercept we must realise the y-coordinates equal 0.

Add 21 to both sides.

Divide both sides by -2.

Therefore, the x-intercept is the point (10 1/2; 0).
--------------------------------------
Now let's continue with the y-intercept, which is easier. When dealing with an y-intercept we must realise the x-coordinates equal 0.

Therefore, the y-intercept is the point (0; -21).