\"\"

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(a).

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Total resistance of two components hooked in parallel is given by the equation \"\".

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Where \"\" are individual resistances.

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Let \"\" ohms, and graph \"\" as a function of  \"\".

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Function \"\".

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Where \"\" is variable with degree of one on both the numerator and denominator, so take the leading coefficients and divide.

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\"\".

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Therefore the horizantal asymtote is at \"\".

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(1).Draw the coordinate plane.

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(2).Plot the points.

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(3).Connect the points using a smooth curve.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
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 Graph :

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\"\"

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\"\"

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(b).

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The graph has horizantal asymptote at \"\".

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As the resistance of \"\" increases without bound the total resistance approaches \"\" ohms, the resistance \"\".

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\"\"

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(c).

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\"\"

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When \"\" ohms.

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\"\"

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\"\"

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It is in the quadratic form \"\".

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Where \"\".

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The quadratic formula is \"\".

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\"\"

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Therefore \"\" ohms.

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\"\"

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(a).

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\"\"

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(b).

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The graph has horizantal asymptote at \"\".

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As the resistance of \"\" increases without bound the total resistance approaches \"\" ohms, the resistance \"\".

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(c).

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\"\" ohms.