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Let f:Rto(0,1) be a continuous function....

Let `f:Rto(0,1)` be a continuous function. Then, which of the following function(s) has (have) the value of zero at some point in the interval `(0,1)`?

A

`e^(x) - underset(0)overset(x)intf(t) sin t dt`

B

`f(x) + underset(0)overset(pi/2) intf(t) sin t dt`

C

`x - underset(0)overset(pi/2-x)int cos t dt`

D

`x^(9) - f(x)`

Text Solution

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The correct Answer is:
CD
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