(a).
\Total resistance of two components hooked in parallel is given by the equation .
Where are individual resistances.
Let ohms, and graph
as a function of
.
Function .
Where is variable with degree of one on both the numerator and denominator, so take the leading coefficients and divide.
.
Therefore the horizantal asymtote is at .
(1).Draw the coordinate plane.
\(2).Plot the points.
\(3).Connect the points using a smooth curve.
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Graph :
\(b).
\The graph has horizantal asymptote at .
As the resistance of increases without bound the total resistance approaches
ohms, the resistance
.
(c).
\When ohms.
It is in the quadratic form .
Where .
The quadratic formula is .
Therefore ohms.
(a).
\(b).
\The graph has horizantal asymptote at .
As the resistance of increases without bound the total resistance approaches
ohms, the resistance
.
(c).
\ ohms.