Review practice
Choose a section to work through its questions and solutions. Your progress is shared across pages. Ranges follow collection order; original source labels are kept on each question.
Section 1 · Questions 1–6
Differentiate a factored cubic and distinguish a repeated stationary point · Recast a quartic as a rational-curve intersection · +4 more
- Question 1 · Differentiate a factored cubic and distinguish a repeated stationary point
- Question 2 · Recast a quartic as a rational-curve intersection
- Question 3 · Find absent output levels from a quadratic discriminant
- Question 4 · Use a cosine amplitude bound that works for every phase and frequency
- Question 5 · Find a rational range and solve by adding a cosine sketch
- Question 6 · Check a cancellation exception before claiming a strict parameter range
Section 2 · Questions 7–9
Connect a derivative discriminant to the missing range · Use completing the square before drawing a rational graph · +1 more