- 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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Q: (500-X) 20M 500M

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A: A  student made the following statement about the function: f(x) = -3(x+2) squared +5

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