Answer:
42
Step-by-step explanation:
Principal = Rs 4000
Amount = Rs 6000
Time = 2 years
Rate = ?
Amount = principal + simple interest
Rs 6000 = Rs 4000 + simple interest
simple interest = Rs 6000 - Rs 4000 = Rs 2000
Simple interest = P*R*T/100
Rs 2000 = Rs 4000* R*2/100
R = 100/4 = 25%
The limit does not exist. Why? Because the left hand limit DOES NOT equal the right hand limit. Let’s double check:
We could use -0.000001 to represent the left hand limit. This is less than 0. We plug in 5x - 8
5(-0.000001) - 8
-0.000005 - 8
-8.000005
If we would continue the limit (extend the zeros to infinity), we would get exactly
-8
That is our left hand limit.
Our right hand limit will be represented by 0.000001. This is greater than 0. We plug in abs(-4 - x)
abs(-4 - (0.000001))
abs(-4.000001)
4.000001
If we would continue the limit (extend the zeros to infinity), we would get exactly
4
4 does not equal -8, therefore
The limit does not exist
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given: with .
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
Answer:
3 gallons of orange juice