A curve is defined by the parametric equations x=8e−2t−4,y=2e2t+4. (a) Find dxdy in terms of t. (3) (b) The point P, wh
Posted: Wed Jul 13, 2022 5:05 am
A curve is defined by the parametric equations x=8e−2t−4,y=2e2t+4. (a) Find dxdy in terms of t. (3) (b) The point P, where t=ln(2), lies on the curve. (i) Find the gradient of the curve at P. (1) (ii) Find the coordinates of P. (2) (iii) The normal at P crosses the x-axis at the point Q. Find the coordinates of Q. (3) (c) Find the Cartesian equation of the curve in the form xy+4y−4x=k, where k is an integer. (3)