**?? - 2015 q5 ****Answers**

5. The point

*P*lies on the curve with equationGiven that P has (

(a) find the exact value of

The tangent to the curve at

(b) Use calculus to find the coordinates of

*x*,*y*) coordinates (*p*, π/2) where*p*a constant,(a) find the exact value of

*p.*(1)The tangent to the curve at

*P*cuts the y-axis at the point*A*.(b) Use calculus to find the coordinates of

*A*. (6)