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If f(x)=int0^x |t-1| dt, where 0 lt= x l...

If `f(x)=int_0^x |t-1| dt`, where `0 lt= x lt= 2` then
(a) range of `f(x)` is `[0,1]` (b) `f(x)` is differentiable at `x=1` (c) `f(x)=cos^(-1)x` has two real roots (d) `f^(prime)(1/2)=1/2`

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