LINT

a) Domain of 1√x-(x)

b) Doamin of √(sinx)-(cosx)

where (.) denotes LINT

5 Answers

106

Asish Mahapatra ·2010-02-23 21:41:38

(x) â‰¥ x for all x in R.... so the function has no domain.

we need (sinx) â‰¥ (cosx)

consider first quad..
all values satisfy. (except x=0)

consider second quad ..
all values satisfy

consider third quad...
all values satisfy (except x=3pi/2)

consider 4th quad.
no value satisfies..'

so domain
(2n pi, 2n pi + 1.5 pi)

thx..Q2 was a bit confusing..but now done..

what is Lint??

LINT = Least Integer Function...opposite of Greatest Integer Function..
LINT = Greater than or equal to..
so for example Lint of 2.3 = 3.... : )

oh...thnx

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