Answer:
a

b
![x(t) = x_o e^{\frac{-\alpha y_o }{\beta }[e^{-\beta t} - 1] }](https://tex.z-dn.net/?f=x%28t%29%20%3D%20%20x_o%20e%5E%7B%5Cfrac%7B-%5Calpha%20y_o%20%7D%7B%5Cbeta%20%7D%5Be%5E%7B-%5Cbeta%20t%7D%20-%201%5D%20%7D)
c

Step-by-step explanation:
From the question we are told that

Now integrating both sides

Now taking the exponent of both sides

=> 
Let 
So

Now from the question we are told that

Hence

=> 
So

From the question we are told that

substituting for y

=> 
Now integrating both sides

Now taking the exponent of both sides

=> 
Let 
=> 
Now from the question we are told that

So

=> 
divide both side by 
=> 
So

=> 
=> ![x(t) = x_o e^{\frac{\alpha y_o }{\beta }[e^{-\beta t} - 1] }](https://tex.z-dn.net/?f=x%28t%29%20%3D%20%20x_o%20e%5E%7B%5Cfrac%7B%5Calpha%20y_o%20%7D%7B%5Cbeta%20%7D%5Be%5E%7B-%5Cbeta%20t%7D%20-%201%5D%20%7D)
Generally as t tends to infinity ,
tends to zero
so

Answer:
76233
Step-by-step explanation:
Add the numbers together:
75444 + 789 = 76233
The exact value for cos(pi/16) would be :
cos (pi/16) = +/- √1+cosa/2
cos (pi/4) = sqrt2/2
Hope this helps
Answer:
B. c= -c+2
Step-by-step explanation:
A. ...................
It has infinitely many solutions as the equation is correct for any value of c.
B. ...................
- c= -c+2
- c+c= 2
- 2c = 2
- c = 2/2
- c= 1
It has one solution only
C. ...................
- c+2=c-2
- c-c= -2 - 2
- 0 = -4
It has no solution as this equation is incorrect
D. ...................
It has no solution as this equation is incorrect
Terminated. Any decimal that repeats goes on forever. Such as pie: 3.1415...