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 
Formula= Base times height divided by 2
6 x 7= 42
42/ 2
answer= 21
First convert the numbers to get the same denominator
1/3=4/12
5/6=10/12
5/12
Then add them all together
4/12+10/12+5/12= 19/12
Then reduce
1 7/12
Your answer is 1 ton and 7/12 of a ton
Answer:
Rule= Y × 10
or
X ÷ 10
Step-by-step explanation:
Answer:
Felipe's expression using the Distributive Property can be written as
5 × 28 = 5( 20 + 8)
5 × 28 = (5 × 20) + (5 × 8)
Step-by-step explanation:
Distributive property states that:
a( b + c) = ab + ac
We are told in the question that:
DVDs are on sale for $28 each. Felipe writes the expression 5 × 28 to find the cost in dollars of buying 5 DVDs.
Therefore:
Felipe's expression using the Distributive Property can be written as:
5 × 28 = 5( 20 + 8)
5 × 28 = (5 × 20) + (5 × 8)
