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Let $\mathbf{x}(t)$ and $\mathbf{y}(t)$ be Bézier curves from Exercise $5,$ and suppose the combined curve has $C^{2}$ continuity (which includes $C^{1}$ continuity) at $\mathbf{p}_{3} \cdot \operatorname{Set} \mathbf{x}^{\prime \prime}(1)=\mathbf{y}^{\prime \prime}(0)$ and show that $\mathbf{p}_{5}$ is completely determined by $\mathbf{p}_{1}, \mathbf{p}_{2},$ and $\mathbf{p}_{3} .$ Thus, the points $\mathbf{p}_{0}, \ldots, \mathbf{p}_{3}$ and the $C^{2}$ condition determine all but one of the control points for $\mathbf{y}(t) .$

Thus, $\mathbf{p}_{4}$ and $\mathbf{p}_{5}$ are uniquely determined by $\mathbf{p}_{1}, \mathbf{p}_{2}$ and $\mathbf{p}_{3} .$ Only $\mathbf{p}_{6}$ can be chosen arbitrarily

Calculus 3

Chapter 8

The Geometry of Vector Spaces

Section 6

Curves and Surfaces

Vectors

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In mathematics, a vector (…

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Continuity Determine the i…

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Prove that $(b)$ implies $…

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Cusps and noncuspsa. G…

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Show that if $P$ lies on t…

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Refer to the graph $C$ of …

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Continuity on intervals Us…

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Rahman, you gonna you off if you do on the ISS that it wants to do from the sense cities between I mean, so you can sit in as a and B FDA is was See this somewhere. There are is a point. No, this is a okay, f the sequence stream which is given. Are you getting this? Unless we do be theirs. And it was too. And be so the industry glass. You mean there's people still off what we have in tow? Being deaf ears equals 10 minus two days, which is equal to seven. So this is the answer in the

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