a. Recall that

For
, we have

By integrating both sides, we get

If
, then

so that

We can shift the index to simplify the sum slightly.

b. The power series for
can be obtained simply by multiplying both sides of the series above by
.

c. We have


Answer:
3
Step-by-step explanation:
i would say 3 different ways because 4 x 3 = 12
Hope this helps!
110, 220, 330, 440, 550
hope this helps
Answer:
Percentage=33.33%
Step-by-step explanation:
Total number of students=Number of 8th grader+others who went on trip
where;
Total number of students=60
Number of 8th graders=20
Others who went on trip=x
replacing;
60=20+x
x=(60-20)
x=40
Others who went on trip=x=40
Ratio of number of eighth graders to the number of everyone who went on the trip is;
Eighth graders who went=20 students
Everyone who went including the eighth graders=60
20/60==1/3
(1/3)×100=33.33%
Percentage=33.33%
Do 51×5 and you will get the answer 255