(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.