CSC 349A Final: CSC 349 UVic Csc 349a Final Sample 2007
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Consider evaluation of (a) define the term ill-conditioned problem . (b) give an example of a polynomial that has ill-conditioned zeros. xf. )(xf is to be evaluated in floating-point arithmetic (e. g. , k = 4 decimal digit, idealized, 1. 3 (c) x is large and negative (for example, 0 where the arguments for sin are in radians. When h is close to 0, evaluation of. In (a) and (d) below, use 4 decimal digit, idealized, rounding floating-point arithmetic. If x is a floating-point number, assume that fl is determined by rounding the exact value of sin to 4 significant digits. (sin x x (a) evaluate. L (b) taylor"s theorem can be expressed in two equivalent forms: given any fixed. L+ or, using a change of variable (replacing x by x +0 h. )1 cos( and sin(1); do not evaluate these numerically. 540302 h is close to 0 by evaluating cos( =