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1.3 Coordinate Geometry in the x-y Plane

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Question 35

A curve has the parametric equations

x=sin⁡2t,y=3sin⁡2t,0<t<π x = \sin^2 t, \quad y = 3\sin 2t, \quad 0 < t < \pi x=sin2t,y=3sin2t,0<t<π
a.

Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy​ in terms of ttt.

[3]
b.

Find an equation of the normal to the curve when t=π3\displaystyle t = \frac{\pi}{3}t=3π​.

[5]
c.

Find a cartesian equation for the curve.

[4]

1.3 Coordinate Geometry in the x-y Plane Questions

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  3. /1.3 Coordinate Geometry in the x-y Plane