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10 Nov 2019
can you solve part c please.
4. 25 points total) Given 3 points in the (ar, (rz, ya) and (ra, ys), find the coefficients of the y)-plane: (zl, yi) polynomial y(r) ap +a azz2 that passes through the three points. To analyze and solve this problem, aiz periorm the steps below. These marked with CAS can be worked with the aid of a computer algebra system such as Mathematica or Matlab. (a) 5 points) Show that the coefficients can bo computed by solving the linear systern A a y for unknown a, where A (b) (5 points) det A 1 a2 r2 is a Vandermonde de Use row reduction factoring and putting scaling factor upfront as we go along) to show that det A I)(a3 E1)(z3 z2) (c) (5 points) What is the condition to be satisfied by (r1,yu), (ara, v2) and (z3, y3) for the polynom to be unique? d) (5 points) Find the polynomial y (z) that passes through the points (-2,13),(1,1) and (2, 5) (CAS) Graph the polynomial. The d is 2 2x4 1 lynem,
can you solve part c please.
4. 25 points total) Given 3 points in the (ar, (rz, ya) and (ra, ys), find the coefficients of the y)-plane: (zl, yi) polynomial y(r) ap +a azz2 that passes through the three points. To analyze and solve this problem, aiz periorm the steps below. These marked with CAS can be worked with the aid of a computer algebra system such as Mathematica or Matlab. (a) 5 points) Show that the coefficients can bo computed by solving the linear systern A a y for unknown a, where A (b) (5 points) det A 1 a2 r2 is a Vandermonde de Use row reduction factoring and putting scaling factor upfront as we go along) to show that det A I)(a3 E1)(z3 z2) (c) (5 points) What is the condition to be satisfied by (r1,yu), (ara, v2) and (z3, y3) for the polynom to be unique? d) (5 points) Find the polynomial y (z) that passes through the points (-2,13),(1,1) and (2, 5) (CAS) Graph the polynomial. The d is 2 2x4 1 lynem,
Bunny GreenfelderLv2
28 Apr 2019