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Passive differentiators can be made only of resistors and capacitors.
Passive differentiators can be made only of resistors and capacitors.
True
An active differentiator includes some form of amplifier.
An active differentiator includes some form of amplifier.
True
The transfer function of the capacitive differentiator is Y = sRCX/(1 + sRCX) for |s| ≪ 1/RC.
The transfer function of the capacitive differentiator is Y = sRCX/(1 + sRCX) for |s| ≪ 1/RC.
True
The transfer function of the inductive differentiator has a pole in $- R/L$.
The transfer function of the inductive differentiator has a pole in $- R/L$.
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A true differentiator can be physically realized.
A true differentiator can be physically realized.
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Which method is the simplest for estimating the derivative of a mathematical function using finite difference approximations?
Which method is the simplest for estimating the derivative of a mathematical function using finite difference approximations?
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What does a small value of h represent in finite difference approximations?
What does a small value of h represent in finite difference approximations?
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What does the indeterminate form 0/0 represent in the context of calculating the derivative using finite difference approximations?
What does the indeterminate form 0/0 represent in the context of calculating the derivative using finite difference approximations?
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Which formula involves computing the slope of a nearby secant line through two points (x − h, f(x − h)) and (x + h, f(x + h))?
Which formula involves computing the slope of a nearby secant line through two points (x − h, f(x − h)) and (x + h, f(x + h))?
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As h approaches zero, what does the slope of the secant line approach?
As h approaches zero, what does the slope of the secant line approach?
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