6. What are the values of the following products? (a) $\prod_{i=0}^{10} i$ (b) $\prod_{i=5}^{8} i$ (c) $\prod_{i=1}^{10} 2$ (d) $\prod_{i=1}^{100} (-1)^i$
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(b) Î áµ¢=â‚… i: The value of Î áµ¢=â‚… i is also 0, because any number raised to the power of 5 and then multiplied by i will still result in 0. This is because i raised to any power that is a multiple of 4 (such as 4, 8, 12, etc.) is equal to 1, and any power Show more…
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Here the $\%$ of Products I, II, III can be given as (a) I: $32 \%$ II : $38 \%$ III : $30 \%$ (b) I: $18: 75 \%$, II : $50 \%$, III $31.2 \%$ (c) II : $31.25 \%$, II : $50 \%$ (d) I: $26 \%$ II $50 \%$, III : $24 \%$ IV : $18.75 \%$
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Given $A=\left[\begin{array}{rr}4 & -2 \\ 3 & 1\end{array}\right], B=\left[\begin{array}{rr}5 & 1 \\ 0 & -2 \\ 3 & 7\end{array}\right],$ and $C=\left[\begin{array}{rrr}-5 & 4 & 1 \\ 0 & 3 & 6\end{array}\right],$ find each product, if possible. See Examples $5-7$. $$B C$$
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