The answer is definately A
Answer:
90 percent
Step-by-step explanation:
the fraction is 90/100 so the percentage is 90%
Answer:
Step-by-step explanation:
where f(x) is replaced by y
Take Laplace on both sides
![s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}](https://tex.z-dn.net/?f=s%5E2%20Y%20-s%280%29-0%20%2B12s%20Y-0%2B32Y%20%3D%20%5Cfrac%7B10%7D%7Bs%2B2%7D%20%5C%5CY%28s%5E2%2B12s%2B32%29%20%3D%20%20%5Cfrac%7B10%7D%7Bs%2B2%7D%5C%5CY%20%3D%20%20%5Cfrac%7B10%7D%7B%28s%2B2%29%28s%2B4%29%28s%2B8%29%7D)
We can resolve into partial fraction to get Y = L(y)
Let this equals
![\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7Bs%2B2%7D%20%2B%5Cfrac%7BB%7D%7Bs%2B4%7D%20%2B%5Cfrac%7BC%7D%7Bs%2B8%7D%20%5C%5C10%20%3D%20A%28s%2B4%29%28s%2B8%29%20%2B%20B%28s%2B2%29%28s%2B8%29%20%2BCs%2B4%29%28s%2B2%29%20%5C%5C)
Solving we get
s=-9
24C = 10 or C =5/12
s=-2: A=10/12=5/6
s=-4: B = -5/4
Taking inverse Laplace
![y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}](https://tex.z-dn.net/?f=y%28t%29%20%3D%20%5Cfrac%7B-5e%5E%7B-4t%7D%20%7D%7B4%7D%20%2B%20%5Cfrac%7B5e%5E%7B-8t%7D%20%7D%7B12%7D%20%2B%5Cfrac%7B-5e%5E%7B-2t%7D%20%7D%7B6%7D)
Hoi!
The basic metric unit of capacity is a liter. :)