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The elastic modulus of a piece of steel rod under a load of 1600 pounds, is given by the formula , L is the original, unloaded, length in inches, A is the cross-sectional area in square inches, and l is the elongation due to a load in inches. A 60 inch long steel rod is with a cross-sectional area of A = 0.35 square inches, is stretching 0.007 inches under a load of 1600 pounds. Due to changes in temperature, the elastic modulus E of the rod is changing. Find the rate of change of the elastic modulus if the elongation is currently 0.007 and is changing at a rate of 0.00029 in/s.
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