- #1
Jesssa
- 51
- 0
hey
i'm trying to figure out how to approach part b of this problem,
http://imageshack.us/a/img850/6059/asdasdno.jpg [Broken]
so i can see that you can apply the mean value theorem to p'(x)
so there exists some c between a and b such that
f'(c) = [f(b) - f(a)] / (b-a)=0
so p'(x) has a root between a and b,
however
P(x) = p'(x) + kp(x)
and p(x) only has roots a and b on the interval (a,b) and nothing else
so P(c) = 0 + kp(c) which is only 0 for k=0 or c=a or b
this is making me a big confused on how to continue with the question,
does anyone have any ideas?
i'm trying to figure out how to approach part b of this problem,
http://imageshack.us/a/img850/6059/asdasdno.jpg [Broken]
so i can see that you can apply the mean value theorem to p'(x)
so there exists some c between a and b such that
f'(c) = [f(b) - f(a)] / (b-a)=0
so p'(x) has a root between a and b,
however
P(x) = p'(x) + kp(x)
and p(x) only has roots a and b on the interval (a,b) and nothing else
so P(c) = 0 + kp(c) which is only 0 for k=0 or c=a or b
this is making me a big confused on how to continue with the question,
does anyone have any ideas?
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