Parametrics

Question 1

Integrate sec^2 t

Answer 1

Use chain rule:
2sec^2t tant

Question 2

Differentiate ln^2 x

Answer 2

Use chain rule:
2lnx· 1/x

Question 3

The line intersects the curve again at point Q find the coordinates of Q

Answer 3

DONT NEED TO FIND CARTESIAN EQUATION unless alr asked to
1. Substitute parametric value of y and x into the line equation
E.g x= sin so 3x = 3sin
2. Solve for t and substitute back into x and y parametrics for coordinates

Question 4

Find the Cartesian