**Q1: **

Find the slope of the tangent to the astroid , in terms of .

- A
- B
- C
- D
- E

**Q2: **

Find an equation of the tangent to the curve , at the point .

- A
- B
- C
- D
- E

**Q3: **

Find an equation of the tangent to the curve , at the point .

- A
- B
- C
- D
- E

**Q4: **

Find an equation of the tangent to the curve , at the point .

- A
- B
- C
- D
- E

**Q5: **

Find the equation of the tangent to the curve and at .

- A
- B
- C
- D

**Q6: **

Find an equation of the tangent to the curve , at the point corresponding to the value .

- A
- B
- C
- D
- E

**Q7: **

Find the equation of the tangent to the curve , at the point corresponding to the value .

- A
- B
- C
- D
- E

**Q8: **

Find an equation of the tangent to the curve , at the point corresponding to the value .

- A
- B
- C
- D
- E

**Q9: **

Find an equation of the tangent to the curve , at the point corresponding to the value .

- A
- B
- C
- D
- E

**Q10: **

Given that , and , determine the equation of the tangent to the curve at .

- A
- B
- C
- D

**Q11: **

Find the equation of the normal to the curves and at .

- A
- B
- C
- D

**Q12: **

Find the equation of the normal to the curves and at .

- A
- B
- C
- D

**Q13: **

Determine the equation of the normal to the curve , at .

- A
- B
- C
- D

**Q14: **

Find the equation of the normal to the curves and at .

- A
- B
- C
- D

**Q15: **

A curve is defined by the parametric equations and .

Find the two equations of the tangents to curve on the point at .

- A,
- B,
- C,
- D,
- E,

Find all possible points on where the tangent is horizontal.

- A,
- B
- C,
- D, ,
- E

Find all possible points on where the tangent is vertical.

- A,
- B
- C
- D, ,
- E,

**Q16: **

Consider the curve , .

Find all points on this curve where the tangent is horizontal.

- AThere are no horizontal tangents.
- B
- C,
- D, , ,
- E,

Find all points on this curve where the tangent is vertical.

- AThere are no vertical tangents.
- B
- C,
- D, , ,
- E,

**Q17: **

Consider the curve , .

Find all points on this curve where the tangent is horizontal.

- Ano horizontal tangents.
- B, , ,
- C,
- D
- E,

Find all points on this curve where the tangent is vertical.

- Ano vertical tangents.
- B
- C,
- D, , ,
- E,

**Q18: **

A cycloid curve is given by the equations and .

Find the tangent to the cycloid at the point where .

- A
- B
- C
- D
- E

Find all points on the curve where the tangent is horizontal.

- A, where is an integer
- B where is an integer
- C where is an integer
- D, where is an integer
- E