A curve has the equation y = (x 3)(7 x). a. Find the gradient function

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A curve has the equation y = (x − 3)(7 − x).

a. Find the gradient function dy/dx.

b. Find the equation of the tangent at the point (6, 3).

c. Find the equation of the normal at the point (6, 3).

d. Which one of these lines passes through the origin?

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