A 26-ft steel pipe with negligible diameter is moved horizontally along a passageway and into a 8-ft wide halway at right angles to the passageway. How wide in ft must the passageway be for the steel pipe to go around the corner? (Hint: This is a maxima-minima problem making use of derivatives of trigonometric functions The problem is to solve for the minimum width of the passageway.) 1. Use derivatives of trigonometric functions in solving this problem. The solution and answer will not be considered if this instruction is not folowed. 2. Write your answer to the nearest 2 decimal places.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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A 26-ft steel pipe with negligible diameter is moved horizontally along a passageway and into a 8-ft wide hallway at right angles to the passageway. How wide in ft
must the passageway be for the steel pipe to go around the corner? (Hint: This is a maxima-minima problem making use of derivatives of trigonometric functions.
The problem is to solve for the minimum width of the passageway.)
Note:
1. Use derivatives of trigonometric functions in solving this problem. The solution and answer will not be considered if this instruction is not followed.
2. Write your answer to the nearest 2 decimal places.
Transcribed Image Text:A 26-ft steel pipe with negligible diameter is moved horizontally along a passageway and into a 8-ft wide hallway at right angles to the passageway. How wide in ft must the passageway be for the steel pipe to go around the corner? (Hint: This is a maxima-minima problem making use of derivatives of trigonometric functions. The problem is to solve for the minimum width of the passageway.) Note: 1. Use derivatives of trigonometric functions in solving this problem. The solution and answer will not be considered if this instruction is not followed. 2. Write your answer to the nearest 2 decimal places.
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