Answer:
For First Solution: 
is the solution of equation y''-y=0.
For 2nd Solution:
is the solution of equation y''-y=0.
Step-by-step explanation:
For First Solution:
In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.
First order derivative:
2nd order Derivative:
Put Them in equation y''-y=0
e^t-e^t=0
0=0
Hence is the solution of equation y''-y=0.
For 2nd Solution:
In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.
First order derivative:
2nd order Derivative:
Put Them in equation y''-y=0
cosht-cosht=0
0=0
Hence is the solution of equation y''-y=0.
Answer:
Option A is correct.
Step-by-step explanation:
Given: 
; 
for n = 2
= 
for n =3
= 
Simlarly , for n =4
= 
and so on...
Common ratio(r) states that for a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term.
we have; 
Now; by recursive formula for geometric series:
where 
is the first term and r is the common ratio:
Substitute the value of and 
we have;
therefore, the explicit rule for the geometric sequence is;
Answer:
Step-by-step explanation:
We can use the geometric mean theorem:
The altitude on the hypotenuse is the geometric mean of the two segments it creates.
In your triangle, the two segments are MP and PO.
MP + PO = MO
MP + 3 = 15
MP = 12
Then,
Answer: what's the question here?
Step-by-step explanation:
