In this question, we find the derivatives, using the chain's rule.
Doing this, the derivative is:

Chain Rule:
Suppose we have a function
, and want to find it's derivative as function of t. It will be given by:

Thus, we have to find the desired derivatives, which are:

Considering 


Considering 


Considering 

- Derivatives of x, y and z as functions of t:



- Derivative of w as function of t.
Now, we just replace what we found into the formula. So


Applying the multiplications:

Applying the simplifications:

Which is the derivative.
For more on the chain rule, you can check brainly.com/question/12795383
Is 1/3 a fraction or division?
If division then the answer would be s= 1/27 (a fraction)
<u>Answer:</u>
For n = 1, 150
for n = 2, 1164
<u>Step-by-step explanation:</u>
The answer for n = 1, is,

=![[2 \times \frac {x^{3}}{3} + x]_{0}^{6}](https://tex.z-dn.net/?f=%5B2%20%5Ctimes%20%5Cfrac%20%7Bx%5E%7B3%7D%7D%7B3%7D%20%2B%20x%5D_%7B0%7D%5E%7B6%7D)
=150
The answer for n = 2 is,

=![[2 \times \frac {x^{3}}{3} + x]_{0}^{12}](https://tex.z-dn.net/?f=%5B2%20%5Ctimes%20%5Cfrac%20%7Bx%5E%7B3%7D%7D%7B3%7D%20%2B%20x%5D_%7B0%7D%5E%7B12%7D)
= 1164
Answer:
5(x−1)
Step-by-step explanation:
From the data we are given that:
People who bought CD = 290
People who bought CD alone = 290 – 220 = 70
Therefore the number of people who download music alone
is:
People who download music alone = 410 – 220 – 70 = 120
Therefore the total number of people who download music
is:
People who download music = 120 + 220 = 340
Answer:
<span>340 people</span>