The answer to this question is D 17/24
Please double check my work
AB = -2x
BC = 4x
Answer:
90,000,000
Step-by-step explanation:
If it is to hard for you, you can:
-Multiply the first digits by each other. 1 x 9 = 9.
-Then, add up all the zeros. In this case, there are, 7 zeros.
-Then, combine the 9 and add the seven zeros to make it:
90,000,000.
Answer:
Initial value is
.
Step-by-step explanation:
Let us assume that the exponential function is
...... (1)
Now, the point
will satisfy the above equation.
Now, this point on the graph of the exponential function will be sufficient to find the initial value of the function (1) i.e. a.
Now, putting the value x = 0 and
in the equation (1) we get,
⇒
⇒
(Answer)
Answer:
y(t)= 11/3 e^(-t) - 5/2 e^(-2t) -1/6 e^(-4t)
Step-by-step explanation:

We know that
, so we have

By using the method of partial fraction we have:

Now we have:
](https://tex.z-dn.net/?f=%20y%28t%29%3DL%5E%7B-1%7D%5BY%28s%29%5D%28t%29%20)
Using linearity of inverse transform we get:
 -L^{-1}[\frac{5}{2(s+2)}](t) -L^{-1}[\frac{1}{6(s+4)}](t)](https://tex.z-dn.net/?f=%20y%28t%29%3DL%5E%7B-1%7D%5B%5Cfrac%7B11%7D%7B3%28s%2B1%29%7D%5D%28t%29%20-L%5E%7B-1%7D%5B%5Cfrac%7B5%7D%7B2%28s%2B2%29%7D%5D%28t%29%20-L%5E%7B-1%7D%5B%5Cfrac%7B1%7D%7B6%28s%2B4%29%7D%5D%28t%29%20)
Using the inverse transforms
![L^{-1}[c\frac{1}{s-a}]=ce^{at}](https://tex.z-dn.net/?f=%20L%5E%7B-1%7D%5Bc%5Cfrac%7B1%7D%7Bs-a%7D%5D%3Dce%5E%7Bat%7D%20)
we have:
