1. Given the curve y-6x-xy = 0, dy find and find the gradient at the point...

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1. Given the curve y-6x-xy = 0, dy find and find the gradient at the point (2,6) dx [6] 2. A curve is given by the parametric equations 2 a. Show that = (++) dy dx t+2 1 1 x = - y = t t +2 [5] b. Find an equation of the normal to the curve at the point where t = 2, giving your answers in the form ax + by + c = 0 where a, b and c are integers. [5] 1. Given the curve y-6x-xy = 0, dy find and find the gradient at the point (2,6) dx [6] 2. A curve is given by the parametric equations 2 a. Show that = (++) dy dx t+2 1 1 x = - y = t t +2 [5] b. Find an equation of the normal to the curve at the point where t = 2, giving your answers in the form ax + by + c = 0 where a, b and c are integers. [5]