Math 151 Week in Review week 6 Answers

1. a) 2 b) 1/6 c) 4/5

2. a) b) c)

3. a) b)

c)

4. -12

5.

6.

7. the intersection points are (0, 0) and (4, 2). At (0, 0) the tangent to the first curve is vertical and the tangent to the second is horizontal. At (4, 2) the tangent to the first has slope -3/4 and the second has slope 4/3.

8.

9. a) The intersection point is (0, 4) where t=1 and s=2. The angle is .

b)

10. a) b)

11.

12.

13. t(x) = 3(x - 6)+5 = 3x - 13

14. Horizontal tangents at (0, 0) and at (-4, 2) ; Vertical tangents at (-2, -2) and (-4, 2)