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Mathematics, 12.05.2021 19:10 alcantar28eduin

The point Q lies on the curve f(x) = -x^2 + 6x-7 and has coordinates (4,1) Line L, through Q, is perpendicular to the tangent at Q

a) Calculate the gradient of L

b) find the equation of L

c) The line intersects the curve again at R. Find the coordinates of R

2. Find the coordinates of the point on the graph of f(x) = x^2-x at which the tangent is parallel to the line y=5x

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