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.
Answer:
C. 364.4
E. 14
F. 21
G. 96°
PART ONE:
To put this information into a fraction you write part over whole:
To change this into a decimal you have to plug in 8÷40 into your calculator:
0.2
PART TWO:
After you subtract 8 from 40, there are 32 fifth graders left.
The fraction will look like this:
To change this into a decimal you have to plug in 32÷40 into your calculator:
0.8
I hope this was helpful!
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