A

9000145410

Level: 
A
Identify a true statement about the function \(f(x) = \frac{1} {4}x^{4} - x^{3}\).
The local minimum of \(f\) is at \(x = 3\).
The function \(f\) has neither local minimum nor local maximum.
The function \(f\) has a local minimum at \(x = 0\).
The function \(f\) has two local extrema. These extrema are at \(x = 3\) and \(x = 0\).

9000146206

Level: 
A
Factor the following expression. \[ x^{2}y^{10} - 81 \]
\(\left (xy^{5} - 9\right )\left (xy^{5} + 9\right )\)
\(\left (xy^{5} - 9\right )\left (xy^{5} - 9\right )\)
\(\left (xy^{5} - 9\right )\left (xy^{2} + 9\right )\)
\(\left (xy^{5} - 9\right )\left (xy^{2} - 9\right )\)