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21. x'- 4x s -x' + 4

21. x'- 4x s -x' + 4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help with question #21

The image presents a series of polynomial inequality exercises, numbered from 9 to 26. Here’s the transcription of each exercise: 9. \(2(x + 5)(x - 3) \geq 0\) 10. \((x + 1)(x - 2) \leq 0\) 11. \(x^2 - 16x < 0\) 12. \(x^2 - 9x > 0\) 13. \(x^3 - 4x \geq 0\) 14. \(x^2 - 16x \leq 0\) 15. \((x - 2)(x^2 - 4) < 0\) 16. \((x - 5)(x^2 - 9) > 0\) 17. \((x + 2)(x^2 - 5x + 4) \geq 0\) 18. \((x + 3)(x^2 - 3x + 2) \geq 0\) 19. \(x^4 - x^3 > 3\) 20. \(x^4 - 3x^2 < 10\) 21. \(x^2 - 4x \leq -x^2 + 4\) 22. \(x^3 - 7x \leq -6\) 23. \(x^5 \leq 4x\) 24. \(3x^2 \leq 4x^2 - 4x\) 25. \(x^3 \leq 4x^2 - 4x\) 26. \(x^3 - 4x^2 < x^2 - 4x\) The exercises require solving these polynomial inequalities. They vary in complexity and the degree of polynomials involved. Solutions would involve finding the critical points, which are the values of \(x\) that satisfy the equality counterpart of each inequality, testing intervals around these points, and determining where the inequality holds true.
Transcribed Image Text:The image presents a series of polynomial inequality exercises, numbered from 9 to 26. Here’s the transcription of each exercise: 9. \(2(x + 5)(x - 3) \geq 0\) 10. \((x + 1)(x - 2) \leq 0\) 11. \(x^2 - 16x < 0\) 12. \(x^2 - 9x > 0\) 13. \(x^3 - 4x \geq 0\) 14. \(x^2 - 16x \leq 0\) 15. \((x - 2)(x^2 - 4) < 0\) 16. \((x - 5)(x^2 - 9) > 0\) 17. \((x + 2)(x^2 - 5x + 4) \geq 0\) 18. \((x + 3)(x^2 - 3x + 2) \geq 0\) 19. \(x^4 - x^3 > 3\) 20. \(x^4 - 3x^2 < 10\) 21. \(x^2 - 4x \leq -x^2 + 4\) 22. \(x^3 - 7x \leq -6\) 23. \(x^5 \leq 4x\) 24. \(3x^2 \leq 4x^2 - 4x\) 25. \(x^3 \leq 4x^2 - 4x\) 26. \(x^3 - 4x^2 < x^2 - 4x\) The exercises require solving these polynomial inequalities. They vary in complexity and the degree of polynomials involved. Solutions would involve finding the critical points, which are the values of \(x\) that satisfy the equality counterpart of each inequality, testing intervals around these points, and determining where the inequality holds true.
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