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Use DrRacket A univariate polynomial of order n is given by the following equation. P n (x) = a n x n + . .
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A univariate polynomial of order n is given by the following equation. Pn (x) = anxn + . . . + a2x2 + a1x + a0
Here, ai are the coefficients of the polynomial, and x is its unique variable. You might implement a procedure poly-3 for computing the polynomial of order 3 of x as follows.
(define (poly-3 x a0 a1 a2 a3) (+ a0 (* a1 x) (* a2 x x) (* a3 x x x)))
- In poly-3, the coefficients and the variable are bundled together as arguments; and you would have to specify the coefficients each time you want to compute the same polynomial with different values of x. Instead, implement the procedure make-poly-3 that generates a procedure that computes the polynomial for an arbitrary x.
(define (make-poly-3 a0 a1 a2 a3) ...) (define my-poly-3 (make-poly-3 1 2 3 4)) (my-poly-3 2)
- Next, write a function sum-poly-3-range which will sum up the results for calling my-poly-3 for the values in a range:
(define (sum-poly-3-range from to) ...) (sum-poly-3-range 1 50)
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