Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:![\mathcal{L}[t \cos 5t]=(-1)F'(s)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5Bt%20%5Ccos%205t%5D%3D%28-1%29F%27%28s%29)
with ![F(s)=\mathcal{L}[\cos 5t]](https://tex.z-dn.net/?f=F%28s%29%3D%5Cmathcal%7BL%7D%5B%5Ccos%205t%5D)
.
Now, 
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that 
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation, 
, then the Laplace transform we were searching is 
Probably 2561 but since area equal r^2 I thought it would be 3217
Answer:
Sorry don't know the answer
Answer:
here!
Step-by-step explanation:
How to write a function rule using the concept of slope. Let us do this for example #3. The goal is use the equation y = mx + b. y = 4x + b. Use (1,6) to find b. 6 = 4 + b.
We have the perimeter of first dimension 2(8 + 4) = 24;
The perimeter of the second dimension is 2( 8 + 54 + 4 + 54 ) = 240
We calculate p/100 = 24/240;
Then p/100 = 1/10;
p = 100/10;
p = 10;
Finally, 10% is the answer.
