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:
option A
Step-by-step explanation:
<h2><em>Note: </em></h2>
when there is an open circle, that means Less than or equal to.
if and when there is a Closed, colored Circle, It's Greater than or equal to or less than or equal to
Answer:
The non-equivalent ratio is 4:5.
Step-by-step explanation:
2/3 4/6 and 8/12 are equivalent because they are all multiples of each other.
1 ton = 2000 pounds. 2000 x 3 = 6000. 6000 + 675 = 6675. So there are 6675 pounds.
Answer: The piano has 222 strings, because 37×6=222.
Step-by-step explanation:
Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.
This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:
= 6 × 37
= 222 strings.
Leslie tuned 222 strings.
Therefore, the piano has 222 strings, because 37×6=222.