Answer:
Step-by-step explanation:
Given that acceleration of an object is
is the solution to the differential equation
Since v(0) =7
we get ln 7 = C
Hence 
since velocity is rate of change of distance s we have
![v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bds%7D%7Bdt%7D%20%3D7e%5E%7B-2t%7D%5C%5Cs%3D%20%5Btex%5Ds%28t%29%20%3D%5Cfrac%7B-7%7D%7B2%7D%20%28e%5E%7B-2t%7D%29%2BC%29%5B)
substitute t=0 and s=0
So solution for distance is
PART A:
To find the rate of change, put change in y over change in x. In order to first find the changes, you must subtract two y values from each other and two x values from each other, like this:
Change in y = 20-10
Change in x = 4-2
Then you can put these over each other:
20-10/4-2
Then simplify
20-10/4-2 = 10/2 = 5/1 = 5
So, this means the rate of change is 5. $5 per bushel.
If you also need part B it would be helpful to see the other chart because it's hard to understand in the writing you included. :) Comment and let me know if you post it so I can help you out!
The answer is C) 5x^2
All you have to do is plug in the given point (1,5)
Answer:
-5
Step-by-step explanation:
multiple the second equation by negative then subtract or add the equations and the answer will be negative 5
Answer:
In order for an equation to have an infinite number of answers,
the simplified equation should be x=x.
In evaluating the above equation, -3 inserted in the box results in this simplified equation.
The answer is therefore -3
