Name: __________________________ Date: ___________________________

MCR3U: Homework Choice Assignment #3
Due: Friday, May 4th, 2007

	Please choose 4 out of the 5 questions listed below.  Good luck and have fun!

1) Simplify and state restrictions on x (please remember to factor)
a) 	b) 	c) 	d) 

2) Simplify and state restrictions on x
a) 	b) 	c) 

3) The concentration of pain killing drug in the bloodstream t hours after it is taken orally is given by the expression 
	a) Factor this and state restrictions (first take out a common factor)
	b) Find the concentration to one decimal place, after 0.5h, 1h and 2h.

4a) The line y = x – 1 intersects the circle x² + y² = 25 at two points.  This line is called a secant.  Find the coordinates of the two points of intersection.
b) For what value(s) of k will the line y = x + k be a tangent to the circle 
x² + y² = 25?  A tangent is a line that touches a circle at exactly one point.

5) The sum of two numbers is 10.  What is the largest (or maximum) product of these numbers?