Step-by-step explanation:
Below is an attachment containing the solution.
Answer:

Step-by-step explanation:
Given



Required
The solution
Differentiate

Next, we solve for c1 and c2
implies that; x = 1 and y = 0
So, we have:

--- (1)
implies that: x = 1 and y' = e
So, we have:


--- (2)
Add (1) and (2)


Divide both sided by e

Divide both sides by 2

Substitute
in 

Rewrite as:

Multiply both sides by e

So, we have:



The standard form of a function is f(x)=ax^2+bx+c and all numbers are real numbers and a is unequal to 0. Your answer is then D. it is the only function that adds both ax and bx. Hope this helps :)
Answer:
The acceleration of the object is 4 
Step-by-step explanation:
Given:
The mass of the object is = 2 kg
To Find:
Acceleration of the object = ?
Solution:
From the diagram below we know that
The resultant force is 8N along the east Direction
we know the acceleration is the"Rate of change of Velocity"
And Expressed as
F = ma
Where
F is the Force
m is the mass
Now substituting the known values we get


a=4 