(10 points)
I. 74. Newton studied the following curves described by the equation
y^{2}=x(x^{2}+ax+b).
Write your program (i74.pas) which plots the above
curve for any given a and b. The example
shows the curve corresponding to a=1, b=0; a=0,
b=1; a=0, b=1, respectively.
(10 points)
I. 75. The B(n,k)
binomial coefficients in Pascal's triangle can be generalized to
negative integer values of n using Pascal's addition formula
(that is each element is obtained by adding its upper and upper left
neighbours). Prepare your sheet (i75.xls) that computes the negative
extension of Pascal's triangle from B(0,0) to
B(n,n), if n is given.
The table shows an example for n=6.
6  1  6  21  56  126  252 
5  1  5  15  35  70  126 
4  1  4  10  20  35  56 
3  1  3  6  10  15  21 
2  1  2  3  4  5  6 
1  1  1  1  1  1  1 
0  1  0  0  0  0  0 
(10 points)
Send your solutions to the following email address:
Deadline: 13 April 2004
