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Consider the parametric curve: x = ln(t + 5) y = −6t5 Which integral gives the arc length of the curve over the interval from t = -2 to t = 3?

Consider the parametric curve: x = ln(t + 5) y = −6t5 Which integral gives the arc length of the curve over the interval from t = -2 to t = 3?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
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Consider the parametric curve: x = ln(t + 5) y = −6t5 Which integral gives the arc length of the curve over the interval from t = -2 to t = 3?
Transcribed Image Text:Consider the parametric curve: x = ln(t + 5) y = −6t5 Which integral gives the arc length of the curve over the interval from t = -2 to t = 3?
Choose 1 answer: 3 A -2 3 1₂ -2 3 [ ✓mm(t + 5) √In(t + 5) — 6t5 dt -2 3 1 L₂√ES 30t4 dt B D 1 (t + 5)² + 900t8 dt √ (ln(t + 5))² + 36t¹⁰ dt t + 5 -2
Transcribed Image Text:Choose 1 answer: 3 A -2 3 1₂ -2 3 [ ✓mm(t + 5) √In(t + 5) — 6t5 dt -2 3 1 L₂√ES 30t4 dt B D 1 (t + 5)² + 900t8 dt √ (ln(t + 5))² + 36t¹⁰ dt t + 5 -2
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