It is not a sum, it is a product.
3 times x = 24 (write equation)
3x = 24 (isolate x by dividing the coefficient, 3, on both sides)
/3 /3
x = 8 (this i your answer)
Therefore 3 times 8 gives you 24.
The range is the set of y.
(-4, 4) → 4
(-3, 0) → 0
(-2, 1) → 1
(-1, 3) → 3
(0, 0) → 0
(1, 5) → 5
Answer: {0, 1, 3, 4, 5}
Answer:
105 degrees
Step-by-step explanation:
The angle of a straight line is 180 degrees. Since we need to find the angle for 3, it is 180-75 which is 105 degrees.
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 
I think the answer is c purplestar1
