Question

Problem: Find the quadratic splines that interpolate over the points \{(x_i, y_i)\} as given by X Y 1.00 50.00 5.00 15.50 9.50 30.00 15.00 70.00 Q1: How many splines do you need to interpolate the given points? Q2: Solve eq.(4) for $\alpha$ and show $M$, $\alpha$ and $Y$, given the \{(x_i, y_i)\} and $s_i^\prime = 0$. Q3: What is the value of \{$p(11), p'(11), p''(11)$\}. See eq. (1). Q4: Show co-plots of \{(x_i, y_i)\} as 'x' points, and $p(x)$ as continuous.

          Problem: Find the quadratic splines that interpolate over the points \{(x_i, y_i)\} as given by
X	Y
1.00	50.00
5.00	15.50
9.50	30.00
15.00	70.00
Q1: How many splines do you need to interpolate the given points?
Q2: Solve eq.(4) for $\alpha$ and show $M$, $\alpha$ and $Y$, given the \{(x_i, y_i)\} and $s_i^\prime = 0$.
Q3: What is the value of \{$p(11), p'(11), p''(11)$\}. See eq. (1).
Q4: Show co-plots of \{(x_i, y_i)\} as 'x' points, and $p(x)$ as continuous.

$Problem: Find the quadratic splines that interpolate over the points {(xi, yi)} as given by X Y 1.00 50.00 5.00 15.50 9.50 30.00 15.00 70.00 Q1: How many splines do you need to interpolate the given points? Q2: Solve eq.(4) for α and show M, α and Y, given the {(xi, yi)} and si^' = 0. Q3: What is the value of {p(11), p'(11), p”(11)}. See eq. (1). Q4: Show co-plots of {(xi, yi)} as 'x' points, and p(x) as continuous.$

Added by David G.

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