Question
Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals: f(x) = 13x +11, x∈ [1,3].
Answer :
Word Count : 272
To determine why Lagrange's Mean Value Theorem (LMVT) is not applicable to the function \( f(x) = 13x + 11 \) over the interval \( [1, 3] \), let's first recall the conditions required for LMVT to be applicable: 1. Continuity on the Closed Interval: ____ ________ _________ _______ ____ ______.
____ _________ ______ ________ ______ ___ ____ _______.
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____ _______ _____ _____ ___ ______ ________.
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______ ______ ________ ____ ________ _______ ___ ________ ______.
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________ _______ _____ _____ _________ ______ ____ _______ _______ _____.
________ _______ _________ ___ _______ ___ _______ ___ _______ _________ __________.
________ _______ _____ _________ ___ __________ ______ ________.
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To determine why Lagrange's Mean Value Theorem (LMVT) is not applicable to the function \( f(x) = 13x + 11 \) over the interval \( [1, 3] \), let's first recall the conditions required for LMVT to be applicable: 1. Continuity on the Closed Interval: ____ ________ _________ _______ ____ ______.
____ _________ ______ ________ ______ ___ ____ _______.
___ _______ __________ _____ _______ ___ ______ ___ ________.
_____ _______ _______ __________ _______ ______ ____ _____ _________ __________ ________ ___.
____ ____ _________ ______ _________ _________ __________ ____ _______ _______ __________ ______.
__________ ___ ______ _______ _____ _________ ___.
__________ __________ ______ ____ ________ ________ ______ ________ ________ _________ ________ ________.
_____ ___ ____ ______ ___ _______ ______ ________ _____ ______.
______ _______ __________ ________ ____ _____.
___ ___ ___ _______ _______ _________.
__________ ______ _________ ________ ___.
____ _______ _____ _____ ___ ______ ________.
______ _______ ________ ____ __________ __________ ______ _____ ___ ________ _______ _____.
______ ______ ________ ____ ________ _______ ___ ________ ______.
_________ _____ _____ _________ ________.
_____ _______ _______ ________ ___ ______ _______ ________ _____ ______ _______.
___ ____ _______ _________ ______ _____.
___ __________ ___ _____ ______ _______ ___ __________ _________.
________ _______ ________ ____ __________ ________ ____ ________ _______ ______.
______ ____ ____ _____ ______ _________ ________ _________ ______ ______.
__________ __________ ________ _________ ____.
____ ______ _______ _____ _____ ________ _____ __________ _______.
____ ______ ______ ______ _______ ________ ______ ___ ______ ________ _____ ________.
________ _______ _____ _____ _________ ______ ____ _______ _______ _____.
________ _______ _________ ___ _______ ___ _______ ___ _______ _________ __________.
________ _______ _____ _________ ___ __________ ______ ________.
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