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5. A piston in an engine oscillates up and down. It's motion can be approximated b the function h(t) = 0.05cos (13t), where t is the time in seconds and h is the displacement of the piston head from rest position in metres at time t.

5. A piston in an engine oscillates up and down. It's motion can be approximated b the function h(t) = 0.05cos (13t), where t is the time in seconds and h is the displacement of the piston head from rest position in metres at time t.

Trigonometry (MindTap Course List)
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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5. A piston in an engine oscillates up and down. It's motion can be approximated by the function h(t) = 0.05cos (13t), where t is the time in seconds and h is the displacement of the piston head from rest position in metres at time t. a. Determine an equation for the velocity of the piston head as a function of time. b. Find the maximum and minimum velocities and the times that they occur between 0 and seconds. 13 4
Transcribed Image Text:5. A piston in an engine oscillates up and down. It's motion can be approximated by the function h(t) = 0.05cos (13t), where t is the time in seconds and h is the displacement of the piston head from rest position in metres at time t. a. Determine an equation for the velocity of the piston head as a function of time. b. Find the maximum and minimum velocities and the times that they occur between 0 and seconds. 13 4
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