French Fuentes
02/08/2023 · High School
bins with tops. (1) Write a function \( V(x) \) to represent the volume of a bin in terms of the side length, \( x \), of the removed squares. Explain your reasoning. (2) Represent the function \( V(x) \) usina technoloqv. Determine the domain and range of the
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The volume of the bin, \( V(x) \), is given by \( V(x) = (L - 2x)(W - 2x)H \), where \( L \), \( W \), and \( H \) are the original dimensions of the bin. The domain of \( x \) is \( 0 \leq x \leq \min\left(\frac{L}{2}, \frac{W}{2}\right) \), and the range of \( V(x) \) is \( 0 < V(x) \leq L \cdot W \cdot H \).
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