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

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`(c) `x-int_0^(pi/2-x)f(t)costdt` (d) `x^9-f(x)`

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