the resistance R of a wire varies directly as its length L and inversely as the square of its diameter d.  a) write an equation that this joint variation. (use k for the constant of proportionality.) _________ b) find the constant of proportionality if a wire 1.2 m long and 0.005 m in diameter has a resistance of 140 ohms. (round your answer to six decimal places.) k=_________ c) find the resistance of a wire made of the same material that is 5 m long and has a diameter of 0.007 m. (round your answer to the nearest whole number.)  R= ________ohms d) if the diameter is doubled and the length is tripled, by what factor is the resistance changed? ________

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