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In a 90-question, multiple-choice test, a student gets

The total score is the sum ...

If the student attempted every single question, can he or she get ...

Consider the AC circuit shown above, with source impedances and RMS source voltages given. The load impedance \(Z_L\) internally consists of a combination of resistors, capacitors, and inductors.

What is ...

\[\large \left \lfloor \frac{1}{1}+ \frac{1}{2}+ \frac{1}{3}+...+\frac{1}{10^{12}}\right \rfloor = \ ? \]

Notes:

My calculator cannot handle numbers larger than \(9.99999999\times10^{99}\).

Find the largest \(n \in \mathbb{N}\) such that my calculator can handle \(n^n\)

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