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12. Find the positive root of x2 +2 Inx – 4 = 0.

12. Find the positive root of x2 +2 Inx – 4 = 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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2. The root of e/3 -x2 = 0 close to x = 1.1. 12. Find the positive root of x? +2 In x- 4 = 0. 3. The root of 3 In x +x2 – 3 = 0 close to x = 1.3. In Exercises 13 through 18 use Newton's method to find the required root. 4. The largest positive root of xr – 1.9x – 2.3x + 3.7 = 0. 5. The smallest root of x - 4.5x2 + 1.3x + 8 = 0. 6. The root of VT-x-x2 0. In Exercises 7 through 12 use a fixed point iteration scheme to find the required roots. 13. Find 23/3 by solving for the zero of f(x) = 23 – x'. 14. Find the smallest positive root of tan x+2 tanh x = 0. 15. Find the largest root of x - 4x +x2 +1.2 = 0. 16. Find the smallest root of x- 3x + 2x? – 3x – 1.6 = 0 17. Find the root of 3x- e= 0. 18. Find the root of 1+ tanhx- 2 tan x 0. 7. Determine a" where a > 0 and n is an integer. Check the result by finding 4/3. 8. Find the roots of x2 +4x +1 = 0 and check the results by using the quadratic formula.
Transcribed Image Text:2. The root of e/3 -x2 = 0 close to x = 1.1. 12. Find the positive root of x? +2 In x- 4 = 0. 3. The root of 3 In x +x2 – 3 = 0 close to x = 1.3. In Exercises 13 through 18 use Newton's method to find the required root. 4. The largest positive root of xr – 1.9x – 2.3x + 3.7 = 0. 5. The smallest root of x - 4.5x2 + 1.3x + 8 = 0. 6. The root of VT-x-x2 0. In Exercises 7 through 12 use a fixed point iteration scheme to find the required roots. 13. Find 23/3 by solving for the zero of f(x) = 23 – x'. 14. Find the smallest positive root of tan x+2 tanh x = 0. 15. Find the largest root of x - 4x +x2 +1.2 = 0. 16. Find the smallest root of x- 3x + 2x? – 3x – 1.6 = 0 17. Find the root of 3x- e= 0. 18. Find the root of 1+ tanhx- 2 tan x 0. 7. Determine a" where a > 0 and n is an integer. Check the result by finding 4/3. 8. Find the roots of x2 +4x +1 = 0 and check the results by using the quadratic formula.
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