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Let {f}:{R}{{{0},{1}}} be a continuous function. Then, which o

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Let $f : R 0, 1$ be a continuous function. Then, which of the following function (s) has (have) the value zero at some point in the interval (0,1)? $e^{x} - \int_{0}^{x} f (t) sin t d t$ (b) $f (x) + \int_{0}^{\frac{π}{2}} f (t) sin t d t$ (c) $x - \int_{0}^{\frac{π}{2} - x} f (t) cos t d t$ (d) $x^{9} - f (x)$

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Let

f : R 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}^{x} f (t) sin t d t

(b)

f (x) + \int_{0}^{\frac{π}{2}} f (t) sin t d t

(c)

x - \int_{0}^{\frac{π}{2} - x} f (t) cos t d t

(d)

x^{9} - f (x)

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Question Text	Let $f : R 0, 1$ be a continuous function. Then, which of the following function (s) has (have) the value zero at some point in the interval (0,1)? $e^{x} - \int_{0}^{x} f (t) sin t d t$ (b) $f (x) + \int_{0}^{\frac{π}{2}} f (t) sin t d t$ (c) $x - \int_{0}^{\frac{π}{2} - x} f (t) cos t d t$ (d) $x^{9} - f (x)$
Answer Type	Video solution: 1
Upvotes	153