ASSIGNMENT 1 – DUM 3272

1. Find an equation of the parabola whose focus is at (-2,3) and whose directrix has equation x = 4.

( 2 marks )

2. Find the center, vertices, and foci of the hyperbola whose equation is given as

( 10 marks )

3. Find the derivative of .

( 2 marks )

4. Find if .

( 4 marks )

5. Find the equation of the tangent and normal line to the

ellipse 25 x2 + y2 = 109 at the point (2,3). ( 7

marks )