Component: The quadratic polynomial and the parabola

Question 4

Written Paper Section I Question 4 - 2001 HSC

Find the values of a constant for which a specified quadratic equation has no real roots. Prove expressions for the size of specified angles in a diagram. Sketch a trigonometric curve. Represent on a diagram the region bounded by the curve and a straight line. Find the exact value of the integral representing the region.

Question 8

Written Paper Section I Question 8 - 2010 HSC


Question 9

Written Paper Section I Question 9 - 2001 HSC

Verify the size of a specified angle and hence that two triangles within the given diagram are similar. Deduce an equation. Use the cosine rule to deduce the exact value of the cosine ratio of angles within the given diagram. Given an expression for the time rate of change of a quantity, find the initial rate. Find an expression for a volume. Verify and solve a given equation for a particular value of the volume.