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3. A particle moves along the parabola y = x² in the first quadrant, in such a way that its x-coordinate (measured in meters) increases at a steady 3 m/sec. How fast is the angle of inclination of the line joining the particle to the origin changing when x=2 m ? Simplify your answer as much as possible, and do not forget to include units. y=x²

3. A particle moves along the parabola y = x² in the first quadrant, in such a way that its x-coordinate (measured in meters) increases at a steady 3 m/sec. How fast is the angle of inclination of the line joining the particle to the origin changing when x=2 m ? Simplify your answer as much as possible, and do not forget to include units. y=x²

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
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3. A particle moves along the parabola y = x² in the first quadrant, in such a way that its x-coordinate (measured in meters) increases at a steady 3 m/sec. How fast is the angle of inclination of the line joining the particle to the origin changing when x=2 m ? Simplify your answer as much as possible, and do not forget to include units. Jos y=x² 0
Transcribed Image Text:3. A particle moves along the parabola y = x² in the first quadrant, in such a way that its x-coordinate (measured in meters) increases at a steady 3 m/sec. How fast is the angle of inclination of the line joining the particle to the origin changing when x=2 m ? Simplify your answer as much as possible, and do not forget to include units. Jos y=x² 0
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