7C - Tangents and Normals Practice
1. Find the equation of the tangent and the normal to the curve at the point where x=2.
2. Find the equation of the tangent to each curve at the given point
a. at the point (2,1)
b. at the point (9,4)
3. Find the equation of the normal to each curve at the given point
a. at the point (0,1)
b. at the point (3,2)
4. The normal to the curve at the point (3,-6) is parallel to the line .
a. Find the value of .
b. Find the coordinates of the point where the normal meets the curve again.