Answer:
4
Step-by-step explanation:
![4 \sqrt{2} \times \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20)
![4 \sqrt{2 \times 2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%20%5Ctimes%202%7D%20)
![4 \sqrt{4}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B4%7D%20)
![4 \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D%20)
![4](https://tex.z-dn.net/?f=4)
Answer:
55, 27,56, 24, 41, 42, 60, 65
Step-by-step explanation:
Step-by-step explanation:
![T=2\pi\sqrt{\frac{l}{g}}](https://tex.z-dn.net/?f=T%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7Bg%7D%7D%20)
![T+\Delta T=2\pi\sqrt{\frac{(l+\Delta l)}{g}} =2\pi\sqrt{\frac{l}{g}}\sqrt{1+\frac{\Delta l}{l}}=2\pi\sqrt{\frac{l}{g}}(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))=T(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))](https://tex.z-dn.net/?f=T%2B%5CDelta%20T%3D2%5Cpi%5Csqrt%7B%5Cfrac%7B%28l%2B%5CDelta%20l%29%7D%7Bg%7D%7D%20%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7Bg%7D%7D%5Csqrt%7B1%2B%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%7D%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7Bg%7D%7D%281%2B%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%2B0%28%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%29%29%3DT%281%2B%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%2B0%28%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%29%29)
Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.
So, ![\Delta T=T\frac{1}{2}\frac{\Delta l}{l}](https://tex.z-dn.net/?f=%5CDelta%20T%3DT%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D)
b. For an increase of 2%, that is:
![\frac{\Delta l}{l}=0.02](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%3D0.02)
![\frac{\Delta T}{T}=\frac{1}{2}0.02=0.01=1\%](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20T%7D%7BT%7D%3D%5Cfrac%7B1%7D%7B2%7D0.02%3D0.01%3D1%5C%25)
Answer:
2(338x + 437y) which is 676x +874y
Step-by-step explanation: I just looked this up on Math.way so...