Component: Tangent to a curve and derivative of a function

Question 2

Written Paper Section I Question 2 - 2001 HSC

Find the equation of a tangent to a curve. Show the equation and length of a line are as given. Calculate the perpendicular distance of the line from the origin and the area of a parallelogram. Find the perpendicular distance of another line from the origin.

Question 3

Written Paper Section I Question 3 - 2001 HSC

Evaluate a definite integral. Find the value of a constant in a formula and apply the formula. Differentiate functions. Verify a given equation for a triangle by using the cosine rule, and hence an unknown side-length of the triangle.