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LINEAR AND INEQUALITIES - L2

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A composite bar of length L = L_(1) + L_(2) is made up from a rod of material 1 and of length L_(1) attached to a rod of material 2 and of length L_(2) as shown. If alpha_(1) and alpha_(2) are their respective coefficient of linear expansion, then equivalent coefficient of linear expansion for the composite rod is

Two metal rods of lengths L_(1) and L_(2) and coefficients of linear expansion alpha_(1) and alpha_(2) respectively are welded together to make a composite rod of length (L_(1)+L_(2)) at 0^(@)C. Find the effective coefficient of linear expansion of the composite rod.

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If two rods of length L and 2L having coefficients of linear expansion alpha and 2alpha respectively are connected so that total length becomes 3L, the average coefficient of linear expansion of the composite rod equals

The feasible region of a sytem of linear inequations is shown below. If Z = 2x + y, then the minimum value of Z is:

A composite bar of length L=L_(1)+L_(2) is made from a bar of material 1 and length L_(1) attached to a bar of material 2 and length L_(2) . Find the effective linear expansion alpha of this bar.The coefficinets of linear expansion of the material of the rods are alpha_(1) and alpha_(2) respectively.