1. 10.2 Parametric Tangents & Areas

2. Remember…
Parametric Curve: (f(t), g(t))
Parameter: t
x = f(t)
y = g(t)

3. So… if
then

4. Now solve for F(x)

5. Alternate Form:

6. Second Derivative:

7. Find dy/dx & d 2y/dx 2.
Ex 1: a) b)

8. Ex 2: Find the equation of the tangent line to the curve at the given value:

9. Ex 3: Find the points on the curve where the tangent line is horizontal or vertical:

10. Area under curve from a to b :

11. Ex 4: Find the area under the curve, 0 ≤  ≤ 2.

12. Ex 5: Find the area bounded by the curve and the line y = 2.5.

13. HW: 10.2 pg #1 – 27 odds, 31, 33, 35, & 39