The maximum load that a horizontal beam can safely support varies jointly as the width of the

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The maximum load that a horizontal beam can safely support varies jointly as the width of the beam and the square of its depth and inversely as the length of the beam. Determine how each change affects the beam's maximum load.
(a) Doubling the width
(b) Doubling the depth
(c) Halving the length
(d) Halving the width and doubling the length
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