Answer:
Step-by-step explanation:
We are given that:
And we want to find F'(0).
First, find F(x):
![\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20f%283x%29%5D)
From the chain rule:
![\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20F%27%28x%29%20%26%3D%20f%27%283x%29%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cleft%5B%203x%5Cright%5D%20%5C%5C%20%5C%5C%20%26%3D%203f%27%283x%29%5Cend%7Baligned%7D)
Then:
In conclusion, F'(0) = 15.
Answer:
Volume of the cylinder = 602.88 square centimeters
Step-by-step explanation:
Given that:
Radius of cylinder = 4 cm
Height of cylinder = 12 cm
Volume of a cylinder is given by the following formula;
Volume = πr²h
Putting π = 3.14, r = 4 and h = 12 in the formula
Volume = 3.14 * (4)² * 12
Volume = 3.14 * 16 * 12
Volume = 602.88 square centimeters
Hence,
Volume of the cylinder = 602.88 square centimeters
Answer:i would need to see the graph but here is what i think you are talking about and it shows how to it popular- problems /Algebra/ 262080
Step-by-step explanation:
Because ΔQRS is congruent to <span>ΔTUV, the the segments GS and TV are also congruent due to the letter order (Q and T are first and S and V are 3rd.) Since they are congruent QS=TV. So 3v + 2 = 7v - 6
</span><span>
</span><span>Work:
</span>3v + 2 = 7v - 6
+6 +6
3v + 8=7v
-3v -3v
<u>8</u> = <span><u>4v</u>
</span>4 4
2 = v
3(2) + 2 = GS
6+2 = GS
8 = GS
7(2) - 6 = TV
14-6=TV
8 = TV
Final Answer: 8=QS and 8=TV
