Defining points and vectors of a parametric cubic curve

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Find the equation of a Hermite cubic spline that passes through points (1, 1) and (3, 2) and whose tangent vectors are as follows:

a. Tangent at (1,1): defined by line connecting (1,1) to (0,0)

b. Tangent at (3,2): defined by line connecting (3,2) to (4,2)

Sketch the curve and the blending functions for the defining points and vectors of a parametric cubic curve.

Reference no: EM13702374

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