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


You have to muliply it all togeather to get the exact answer. 4 times 10 equals 40 40 times 3 equals 120 then 120 times 6 equals 720 and thats the right answer
Answer: 1. 3801
Step-by-step explanation:
Log 24 = Log(8x3)
From the laws of Logarithm
Log ( a xb) = Log a + Log b
so, Log (8x3) = Log8 + Log 3
Also Log 8 can be written as Log
since
is still 8 , so the expression becomes
Log
+ Log 3
⇒ 3 Log 2 + Log 3
since the value of Log 2 and Log 3 has been given , substitute into the expression , we have
3 (0.3010) + 0.4771
= 0.903 + 0.4771
= 1.3801
A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches.
What is the length of the other leg? Round to the nearest tenth.
14.4 in.21.7 in.28.9 in.<span>43.3 in.</span>