Answer:
904.8cm^3
Step-by-step explanation:
![\frac{4}{3} \pi{(6)}^{3} \\ \frac{4}{3} \pi(216) \\ \frac{864}{3} \pi \\ 288\pi \\ 904.8 {cm}^{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%7B%286%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%28216%29%20%5C%5C%20%20%5Cfrac%7B864%7D%7B3%7D%20%5Cpi%20%5C%5C%20288%5Cpi%20%5C%5C%20904.8%20%7Bcm%7D%5E%7B3%7D%20)
Answer:
![v = t (5t^{3} - 24)](https://tex.z-dn.net/?f=v%20%3D%20t%20%285t%5E%7B3%7D%20-%2024%29)
Step-by-step explanation:
We are given an expression to solve for the displacement (x), so in order to find velocity (v), we need to differentiate the function.
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Solving :
⇒ ![\frac{dx}{dt} = \frac{d}{dx} (t^{5} - 12t^{2} + 9)](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28t%5E%7B5%7D%20-%2012t%5E%7B2%7D%20%2B%209%29)
⇒ ![v = (5)t^{5-1} - (2)12t^{2-1} + 0](https://tex.z-dn.net/?f=v%20%3D%20%285%29t%5E%7B5-1%7D%20-%20%282%2912t%5E%7B2-1%7D%20%2B%200)
⇒ ![v = 5t^{4} - 24t](https://tex.z-dn.net/?f=v%20%3D%205t%5E%7B4%7D%20-%2024t)
⇒ ![v = t (5t^{3} - 24)](https://tex.z-dn.net/?f=v%20%3D%20t%20%285t%5E%7B3%7D%20-%2024%29)
Using this equation, we can find the velocity if a value of t is given.
Answer:
y=-2x+2
Step-by-step explanation:
Answer:
the answer is 3 and 90 that's all