Answer:
The general solution is

+ 
Step-by-step explanation:
Step :1:-
Given differential equation y(4) − 2y''' + y'' = e^x + 1
The differential operator form of the given differential equation
comparing f(D)y = e^ x+1
The auxiliary equation (A.E) f(m) = 0




The roots are m=0,0 and m =1,1
complementary function is 
<u>Step 2</u>:-
The particular equation is 
P.I = 
P.I = 
P.I = 



applying in integration u v formula

= 





again integration 
The general solution is 

+ 
The pythagorean theorem states that a^2+ b^2=c^2.
Final answer: None of the above
Answer:
A. $1,710
B. Yes, probably.
Step-by-step explanation:
Assuming that a 10% decrease in energy use leads to a 10% decrease in the electric bill:
We'll want to find the value which is 10% less than the original value, i.e., the bill cost which is 90% of the original bill.
90% = 0.9
Since the original bill was $1900, we can just multiply 1900 by 0.9:

Answer: A bill of $1,710 would equal a 10% decrease.
Since $1,672 is less than that, then they have decreased their energy use by more than 10% which is likely a success.
Answer: Yes, probably.
Answer:
The ratio of AC/CB=1/3
Step-by-step explanation:
We use the section formula:

We substitute the point A(-1.5,0) and B(4.5,8).
We plug in the points to get:

This is supposed to be equal to: (0,2).

We can equate, corresponding coordinates to find m and n.

This implies that:




Therefore the ratio is m:n=1:3