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9(1²-5) 5(x² +1) ³ 00 9x Evaluate 1e 1₁th to dx. (x² + 1)3/5 (Express numbers in exact form. Use symbolic notation and fractions where needed.) [Ⓡ 9x (x² + 1)3/5 dx = Identify the true statement(s) about the series and the integral. f'(x) < 0 for all x ≥ 3, so f is eventually decreasing. The integral f(x) dx is finite, so the series converges by the Integral Test. f(x) > 0 and is continuous for all x ≥ 3. The Integral Test does not apply because f is only increasing when x ≥ 1. The integral 3 f(x) dx is infinite, so the series diverges by the Integral Test. The Integral Test does not apply because f is not continuous on (1, 00). f'(x) =

9(1²-5) 5(x² +1) ³ 00 9x Evaluate 1e 1₁th to dx. (x² + 1)3/5 (Express numbers in exact form. Use symbolic notation and fractions where needed.) [Ⓡ 9x (x² + 1)3/5 dx = Identify the true statement(s) about the series and the integral. f'(x) < 0 for all x ≥ 3, so f is eventually decreasing. The integral f(x) dx is finite, so the series converges by the Integral Test. f(x) > 0 and is continuous for all x ≥ 3. The Integral Test does not apply because f is only increasing when x ≥ 1. The integral 3 f(x) dx is infinite, so the series diverges by the Integral Test. The Integral Test does not apply because f is not continuous on (1, 00). f'(x) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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9(x²-5) 5(x² +1) ³ 8 5 Evaluate 9x (x² + 1)3/5 dx. (Express numbers in exact form. Use symbolic notation and fractions where needed.) ∞ 9x dx = (x² + 1)3/5 Identify the true statement(s) about the series and the integral. f'(x) < 0 for all x ≥ 3, so f is eventually decreasing. The integral 3 f(x) dx is finite, so the series converges by the Integral Test. f(x) > 0 and is continuous for all x ≥ 3. The Integral Test does not apply because fƒ is only increasing when x ≥ 1. The integral f(x) dx is infinite, so the series diverges by the Integral Test. The Integral Test does not apply because f is not continuous on (1, ∞). f'(x) = ∞
Transcribed Image Text:9(x²-5) 5(x² +1) ³ 8 5 Evaluate 9x (x² + 1)3/5 dx. (Express numbers in exact form. Use symbolic notation and fractions where needed.) ∞ 9x dx = (x² + 1)3/5 Identify the true statement(s) about the series and the integral. f'(x) < 0 for all x ≥ 3, so f is eventually decreasing. The integral 3 f(x) dx is finite, so the series converges by the Integral Test. f(x) > 0 and is continuous for all x ≥ 3. The Integral Test does not apply because fƒ is only increasing when x ≥ 1. The integral f(x) dx is infinite, so the series diverges by the Integral Test. The Integral Test does not apply because f is not continuous on (1, ∞). f'(x) = ∞
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