Refer to the Bezier curve defined by Eqs. (7) and (8). Find an equation of the tangent

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Refer to the B´ezier curve defined by Eqs. (7) and (8).

x(1) = a0(1-1) +3a1(1-1) y(t) = bo(1-1) + 3bt(11) + 3a21 (1-1) + a31 + 3bt(1-1) + bzt


Find an equation of the tangent line to the B´ezier curve in Exercise 73 at t = 1/3.


Data From Exercise 73

Refer to the B´ezier curve defined by Eqs. (7) and (8).

x(1) = a0(1-1) +3a1(1-1) y(t) = bo(1-1) + 3bt(1-1) + 3a21 (1-1) + a31 + 3bt(1-1) + bzt

Show that the Bzier curve with control points has parametrization Po (1,4), P = (3, 12), P = (6, 15), P3 -

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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