Q1. The following n data points, (x₁, y₁), (x₂, y₂),...,(x_n, y_n) are given.  For conducting quadratic spline interpolation the x-data needs to be
equally spaced
in ascending or descending order
integers
positive

Q2. In cubic spline interpolation,

the first derivatives of the splines are continuous at the interior data points

the second derivatives of the splines are continuous at the interior data points
the first and the second derivatives of the splines are continuous at the interior data points

the third derivatives of the splines are continuous at the interior data points

Q3. The following incomplete y vs. x data is given

The data is fit by quadratic spline interpolants given by

, 

where a, b, c, and d, are constants.  The value of c is most nearly

-303.00
-144.50
-0.0000
14.000

Q4. The following incomplete y vs. x data is given.

The data is fit by quadratic spline interpolants given by

, 

     

where a, b, c, d, e, f, and g are constants.  The value of df/dx at x=2.6 is most nearly

-144.50

-4.0000

3.6000
12.200

 Q5. The following incomplete y vs. x data is given

The data is fit by quadratic spline interpolants given by

      , 

where a, b, c, d are constants.  What is the value of ?

23.50

25.67