Decide whether the Intermediate Value Theorem applies to the given function on the indicated interval. If so, find c as guaranteed by the theorem. If not, state the reason. Answer F(x) = 6x x-7 on [0, 14]; F(c) = 14 O Yes, the Intermediate Value Theorem applies and c = 49 4 O No, the Intermediate Value Theorem does not apply because F(x) is not continuous at x = 7. O No, the Intermediate Value Theorem does not apply because F(c) = 14 is not between F(0) and F(14). O Yes, the Intermediate Value Theorem applies and c = 7. K Keyboard SH

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Decide whether the Intermediate Value Theorem applies to the given function on the indicated interval. If so, find c as guaranteed by the theorem. If not, state the
reason.
Answer
F(x) =
6x
x - 7
on [0, 14]; F(c) = 14
O Yes, the Intermediate Value Theorem applies and c =
49
4
O No, the Intermediate Value Theorem does not apply because F(x) is not continuous at x = 7.
O No, the Intermediate Value Theorem does not apply because F(c) = 14 is not between F(0) and F(14).
O Yes, the Intermediate Value Theorem applies and c = 7.
K
Keyboard Sh
Transcribed Image Text:Decide whether the Intermediate Value Theorem applies to the given function on the indicated interval. If so, find c as guaranteed by the theorem. If not, state the reason. Answer F(x) = 6x x - 7 on [0, 14]; F(c) = 14 O Yes, the Intermediate Value Theorem applies and c = 49 4 O No, the Intermediate Value Theorem does not apply because F(x) is not continuous at x = 7. O No, the Intermediate Value Theorem does not apply because F(c) = 14 is not between F(0) and F(14). O Yes, the Intermediate Value Theorem applies and c = 7. K Keyboard Sh
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