Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

If  and , then f must have a critical point at (a, b).

A. False. In relative extremum  and .
B. True. It follows from definition.


Answer: B

Mathematics

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Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A.
B.
C.
D.  - 

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Use the discriminant to determine the number of real solutions of the equation. x²- 5.66x + 2.52 = 0

What will be an ideal response?

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Decide whether or not the functions are inverses of each other.f(x) = (x - 4)2, x ? 4; g(x) = 

A. No B. Yes

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