Let f: Rvec(0,1) be a continuous functio...

Let `f: Rvec(0,1)` be a continuous function. Then, which of the following function (s) has (have) the value zero at some point in the interval (0,1)? `e^x-int_0^xf(t)sintdt` (b) `f(x)+int_0^(pi/2)f(t)sintdt` `x-int_0^(pi/2-x)f(t)costdt` (d) `x^9-f(x)`

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

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

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

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

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