Answer:
So, the first three nonzero terms in the Maclaurin series are:

Step-by-step explanation:
From exercise we have the next function y = 6 sec(3x).
We know that Maclaurin series for the function sec x, have the following form:

So, for the given function y = 6 sec(3x), we get:

So, the first three nonzero terms in the Maclaurin series are:

Answer:
4k^3 - k^2 - 2k
Step-by-step explanation:
-k * -4k^2 = 4k^3
-k * k = -k^2
-k * 2 = -2k
4k^3 - k^2 - 2k
Use the FOIL method (first, outside, inside, last) to multiply:
2x^2-8x+3x-12
This can be simplified even more into:
2x^2-5x-12.
Hope this helped!
Answer:
14.32
Step-by-step explanation:
We can find the distance using the distance formula:
We then substitute (-2,8) as
and (11,2) as
.