Answer:
L[f(t)=s/(1+s^2)]
Step-by-step explanation:
The Laplace Transform is given by the integral:
![L[f(t)]=\int_0^\infty e^{-st}\ f(t)dt](https://tex.z-dn.net/?f=L%5Bf%28t%29%5D%3D%5Cint_0%5E%5Cinfty%20e%5E%7B-st%7D%5C%20f%28t%29dt)
by replacing f(t)=cost we get
![\int_0^{\infty} e^{-st}costdt=[e^{-s(\infty)}sin(\infty)-1sin(0)]-s\int_{0}^{\infty}e^{-st}sintdt\\\\=0+s[-e^{-s(\infty)}cos(\infty)+e^{s(0)}cost(0)-s\int_0^{\infty}e^{-st}costdt]\\\\=0+s[0+1-s\int_0^{\infty}e^{-st}costdt]=s-s^2\int_0^{\infty}e^{-st}costdt\\\\(1+s^2)\int_0^{\infty}e^{-st}costdt=s\\\\\int_0^{\infty}e^{-st}costdt=\frac{s}{1+s^2}](https://tex.z-dn.net/?f=%5Cint_0%5E%7B%5Cinfty%7D%20e%5E%7B-st%7Dcostdt%3D%5Be%5E%7B-s%28%5Cinfty%29%7Dsin%28%5Cinfty%29-1sin%280%29%5D-s%5Cint_%7B0%7D%5E%7B%5Cinfty%7De%5E%7B-st%7Dsintdt%5C%5C%5C%5C%3D0%2Bs%5B-e%5E%7B-s%28%5Cinfty%29%7Dcos%28%5Cinfty%29%2Be%5E%7Bs%280%29%7Dcost%280%29-s%5Cint_0%5E%7B%5Cinfty%7De%5E%7B-st%7Dcostdt%5D%5C%5C%5C%5C%3D0%2Bs%5B0%2B1-s%5Cint_0%5E%7B%5Cinfty%7De%5E%7B-st%7Dcostdt%5D%3Ds-s%5E2%5Cint_0%5E%7B%5Cinfty%7De%5E%7B-st%7Dcostdt%5C%5C%5C%5C%281%2Bs%5E2%29%5Cint_0%5E%7B%5Cinfty%7De%5E%7B-st%7Dcostdt%3Ds%5C%5C%5C%5C%5Cint_0%5E%7B%5Cinfty%7De%5E%7B-st%7Dcostdt%3D%5Cfrac%7Bs%7D%7B1%2Bs%5E2%7D)
hope this helps!!
As a decimal, 2 2/3 is 2.67
2 3/5 is 2.6
So, the greatest is 2 2/3 and 2.67 because they are equivalent
Answer:
84
Step-by-step explanation:
The least common denominator of the 7, 6, 12, which are the denominators of the fractions in the given linear equation, is the least expression or number that is divisible by 7, 6, 12.
To find the LCD, express each number as factors of itself as follows:



Find the product of the highest terms
The product = LCD = 
LCD of 7, 6, 12 = 84
Answer:
14%
Step-by-step explanation:
28/200 = x/100
x = 14