7-14. Rolle's Theorem Determine whether Rolle's Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. 8. f(x) = sin 2x; [0, 7/2] 9. f(x) = cos 4x; [7/8, 37/8] 10. f(x) = 1 – |x|; [-1, 1] 7. f(x) = x(x – 1)²; [0,1] %3D 11. f(x) = 1 – x²/3; [-1, 1] 12. f(x) = x – 2x? – 8r; [-2,4] 13. g(x) — х3 — х2 — 5х — 33B [-1, 3] 14. Л(x) — е т; [-а, а], where a > 0
7-14. Rolle's Theorem Determine whether Rolle's Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. 8. f(x) = sin 2x; [0, 7/2] 9. f(x) = cos 4x; [7/8, 37/8] 10. f(x) = 1 – |x|; [-1, 1] 7. f(x) = x(x – 1)²; [0,1] %3D 11. f(x) = 1 – x²/3; [-1, 1] 12. f(x) = x – 2x? – 8r; [-2,4] 13. g(x) — х3 — х2 — 5х — 33B [-1, 3] 14. Л(x) — е т; [-а, а], where a > 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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![7-14. Rolle's Theorem Determine whether Rolle's Theorem applies to
the following functions on the given interval. If so, find the point(s) that
are guaranteed to exist by Rolle's Theorem.
8. f(x) = sin 2x; [0, 7/2]
9. f(x) = cos 4x; [7/8, 37/8] 10. f(x) = 1 – |x|; [-1, 1]
7. f(x) = x(x – 1)²; [0,1]
%3D
11. f(x) = 1 – x²/3; [-1, 1]
12. f(x) = x – 2x? – 8r; [-2,4]
13. g(x) — х3 — х2 — 5х — 33B [-1, 3]
14. Л(x) — е т; [-а, а], where a > 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63e12b9f-0f33-480c-a38c-d37d3da587b6%2F6f33e8c9-05ee-4fd6-8b0e-17b911e8acaa%2Fyasi21h_processed.png&w=3840&q=75)
Transcribed Image Text:7-14. Rolle's Theorem Determine whether Rolle's Theorem applies to
the following functions on the given interval. If so, find the point(s) that
are guaranteed to exist by Rolle's Theorem.
8. f(x) = sin 2x; [0, 7/2]
9. f(x) = cos 4x; [7/8, 37/8] 10. f(x) = 1 – |x|; [-1, 1]
7. f(x) = x(x – 1)²; [0,1]
%3D
11. f(x) = 1 – x²/3; [-1, 1]
12. f(x) = x – 2x? – 8r; [-2,4]
13. g(x) — х3 — х2 — 5х — 33B [-1, 3]
14. Л(x) — е т; [-а, а], where a > 0
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