question archive Consider the equation in my = y? — 1

Consider the equation in my = y? — 1

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Consider the equation in my = y? — 1. (i) Show that (3,3,0 = (1,1) is a solution to this equation. .. . dy (11) Find a {iii} Find :13 . 3' (z.yJ=(1'1) (iv) Find all point(s) satisfying the equation at which there is a vertical tangent line. (m.y)=(1.1) 3. Consider the function ?n) = 3—1 on [0, 2], and a point a E [0, 2]. Consider the triangle formed by the tangent line to f at a, and the Lines 3: = {l and y = 0. Find the point a such that the triangle has largest possible area, and justify that the area has been maximized.

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