The average value is given by
Setting
, you get
, and the integral becomes
First you must find out the pattern
The pattern is 3+3 = 6 minus one equals 5+5 = 10 minus one equals 9+9 = 18 minus one equals 17+17
The next two would be 17+17 = 34. 34 minus one equals 33
The next two answers are 34 and 33
Answer:
Step-by-step explanation:
When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"
Group together two terms, watch out for the negative signs!
x^3 + 2x^2-5x-10=0
(x^3 + 2x^2) - (5x+10)=0
Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.
x^2(x+2)-5(x+2)=0
Now you can factor out that (x+2) because it is both terms.
x^2(x + 2) - 5(x + 2)=0
~~~~ ~~~~
Pull these out.
What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)
(x + 2)(x^2 - 5) = 0
If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.
x = -2 and x = +- sqrt5
Answer:
Step-by-step explanation:
given that both angles are the same, it is an equilateral right triangle.
we can use Pythagorean's theorem
Answer:
Step-by-step explanation:
We have given,
and initial condition 
Now,
Rearranging the variables, we get
Applying integration both sides, we get
⇒
⇒ 
Putting the initial condition (i.e., ), we get
⇒ 
⇒ 
∴ 
We have,
now putting the value of 
in above equation, we get
⇒ 
⇒ 
