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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
by answerhappygod
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 1
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 1 (46.1 KiB) Viewed 24 times
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)