Computer Science Archive: Questions from April 24, 2023
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Find the sum-of-products expansions of these Boolean functions. a) \( F(x, y)=\bar{x}+y \) b) \( F(x, y)=x \bar{y} \) c) \( F(x, y)=1 \) d) \( F(x, y)=\bar{y} \)3 answers -
Please d and e
10. Prove the following properties of Boolean algebras. Give a reason for each step. a. \( (x+y)+\left(y \cdot x^{\prime}\right)=x+y \) b. \( (y+x) \cdot(z+y)+x \cdot z \cdot\left(z+z^{\prime}\right)=2 answers -
2 answers
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2 answers
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81. If \( f(x)=\int_{0}^{g(x)} \frac{1}{\sqrt{1+t^{3}}} d t \), where \( g(x)=\int_{0}^{\cos (x)}\left(1+\sin \left(t^{2}\right)\right) d t \), find \( f^{\prime}(\pi / 2) \).2 answers