Please help me I will give you the brain thing and extra points (image below) 5/5
2 answers:
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the First we need to choose two points in the graph
(0,6)=(t1,w1)
(1,7)=(t2,w2)
the variables are t and w
then we can calculate the slope
the equation of W is
where
m=1 ---> slope
b=6 ---> y-intercept
the answers are
W=t+6
slope of the function 1
the answer is the third option
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.