True or False: If False, then why? 1. Extrema is a collective term for all critical points. 2. In time rates, time will always be a dependent variable. 3. A stationary point is not a saddle point.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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True or False: If False, then why?

1. Extrema is a collective term for all critical points.

2. In time rates, time will always be a dependent variable.

3. A stationary point is not a saddle point.

4. To optimize a certain variable. one can also set it equal to undefined.

5. A saddle point is always a stationary point, like a point of inflection.

6.  If a figure circumscribes a smaller figure, its maximum will always be a very large number.

7. An extremum is always both a critical point and a stationary point.

8. For figures to be optimized, if upon solving for the first derivative test and the results is zero and no other real value, this means that common solid geometry skills must be used to determine the optimal values.

9. A curve can have an inflection point but no extrema.

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