JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Application +4 | -1

N

characters of information are held on magnetic tape, in batches of

x

characters each, the batch processing time is

\alpha + \beta {x^2}

seconds,

\alpha \,and\,\beta

are constants. The optical value of

x

for fast processing is,

View answer and explanation

Correct option: C

\sqrt {\alpha /\beta }

Option C (

\sqrt {\alpha /\beta }

) is correct because it represents the value of x that minimizes the total processing time, found by taking the derivative and setting it to zero.

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