Mathematics

Mathematics

Problem

In an electrical circuit, the resistance RR (in ohms) varies with temperature TT (in Celsius) according to the linear relation R(T)=0.5T−10R(T) = 0.5T - 10. The conductance GG is defined as the reciprocal of resistance, G(T)=1R(T)G(T) = \frac{1}{R(T)}. Find the equation of the vertical asymptote for the conductance graph and describe the behavior of G(T)G(T) as TT approaches 2020 from the right.

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