- In an electronic device, individual circuits may serve many purposes. In some cases, the flow of electricity must be con- trolled by reducing the power instead of amplifying it. In the circuit shown here, a voltage V volts and resistance R ohms are given. We want to determine the size of the remaining resistor (x ohms). The power absorbed by the circuit is V²x p(x)= (R+x)² ' Find the value of x that maximizes the power absorbed. R

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Chapter1: Functions And Models
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The lecture is about optimization . This is calculus 1
29. In an electronic device, individual circuits may serve many
purposes. In some cases, the flow of electricity must be con-
trolled by reducing the power instead of amplifying it. In the
circuit shown here, a voltage V volts and resistance R ohms
are given. We want to determine the size of the remaining
resistor (x ohms). The power absorbed by the circuit is
V²x
p(x) =
(R +x)?
Find the value of x that maximizes the power absorbed.
R
+
79
V
103
>
Transcribed Image Text:29. In an electronic device, individual circuits may serve many purposes. In some cases, the flow of electricity must be con- trolled by reducing the power instead of amplifying it. In the circuit shown here, a voltage V volts and resistance R ohms are given. We want to determine the size of the remaining resistor (x ohms). The power absorbed by the circuit is V²x p(x) = (R +x)? Find the value of x that maximizes the power absorbed. R + 79 V 103 >
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