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(a) Find the slope of the tangent line to the parabola y = 4x - x2 at the point (1, 3)
(i) Using Definition 1
(ii) Using Equation 2
(b) Find an equation of the tangent line in part (a).
(c) Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (1, 3) until the parabola and the tangent line are indistinguishable. |
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