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5. (a) Evaluate the polynomial y = x³ - 8x² + 12x - 0.45 at x = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y = ((x-8)x+12)x -0.45. Evaluate the percent relative true error and compare with part (a).

5. (a) Evaluate the polynomial y = x³ - 8x² + 12x - 0.45 at x = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y = ((x-8)x+12)x -0.45. Evaluate the percent relative true error and compare with part (a).

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...
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5. (a) Evaluate the polynomial y = x³ - 8x² + 12x −0.45 at x = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y = ((x − 8) x + 12)x – 0.45. Evaluate the percent relative true error and compare with part (a).
Transcribed Image Text:5. (a) Evaluate the polynomial y = x³ - 8x² + 12x −0.45 at x = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y = ((x − 8) x + 12)x – 0.45. Evaluate the percent relative true error and compare with part (a).
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