Analog Electronics
If the series resistance increases in an unloaded zener regulator, the zener current

  decreases.
  stays the same.
  equals the voltage divided by the resistance.
  increases.

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Analog Electronics
In an OP-amp differentiator

The amplitude of output is proportional to rate of change of input
Polarity of input and output is the same
The amplitude of output is proportional to input
Output occurs when input is finite and constant

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