Answer: 3t²(2st⁷ - s⁶ - 2t⁵)
<u>Step-by-step explanation:</u>
5s⁶t² + 6st⁹ - 8s⁶t² - 6t⁷ <em>5s⁶t² and - 8s⁶t² are like terms which = -3s⁶t² when combined</em>
= 6st⁹ - 3s⁶t² - 6t⁷ <em>next, factor out the GCF of 3t²</em>
= 3t²(2st⁷ - s⁶ - 2t⁵)
Answer:
its 56 if you simplify 32 + 16 + 8
Another triple integral. We're integrating over the interior of the sphere

Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.
For the middle integral we have

x is the inner integral so at this point we conservatively say its zero. That means y goes from
and 
Similarly the inner integral x goes between 
So we rewrite the integral

Let's work on the inner one,

There's no z in the integrand, so we treat it as a constant.

So the middle integral is
I gotta go so I'll stop here, sorry.
Answer:
a = 50
Step-by-step explanation:
From the introduction, you know that the area is 3a^2
You also know that it is 7500 square feet. \
So the two must be equal
3a^2 = 7500 Divide by 3
a^2 = 7500/3
a^2 = 2500
The square root of 2500 is 50
sqrt(a^2) = sqrt(2500)
a = 50