Answer:
(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
(b) Every function of the form 
is an antiderivative of 8x
Step-by-step explanation:
A function <em>F </em>is an antiderivative of the function <em>f</em> if
for all x in the domain of <em>f.</em>
(a) If 
, then 
is an antiderivative of <em>f </em>because
Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.
(b) Because
then is an antiderivative of . Therefore, every antiderivative of 8x is of the form for some constant C, and every function of the form is an antiderivative of 8x.
An outlier is a value that is much higher or lower than the rest of the data.
The answer here is .7 because all other values range from 3.1-5.8.
Answer: Sorry, can you repost and comment on this post to reach out to me with a clear pic bc the light is blocking the center of the page
Step-by-step explanation:
3 - 15 = -12
so that is your answer
If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule
From this definition, we can write 
in terms of 
:
and so on, up to
(notice how the subscript on <em>a</em> and coefficient on 3 add up to <em>n</em>)
or
