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SusanAthena, Master's Degree
Category: Calculus and Above
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# At a rate t seconds the displacement of a damped harmonic

### Customer Question

At a rate t seconds the displacement of a damped harmonic oscillation is given by the equation: S=5e-0.2t sin t
Determin the co-ordinates and the nature of the turning points in the range ≤ 0 t ≤ 2π
-0.2t is the square of 5e
Submitted: 1 year ago.
Category: Calculus and Above
Expert:  Mr. Glenn replied 1 year ago.
HiThank you for using this site.When do you need the answer? Do you need a graph also of this ?
Customer: replied 1 year ago.
No but all the workings and the min - max turning points
Customer: replied 1 year ago.
Answer in sometime within 6 hours would be fine
Expert:  Mr. Glenn replied 1 year ago.
Is this a calculus question? or just a precalculus question? (because the solution may depend on what subject or topic are you in)
Customer: replied 1 year ago.
Calculus
SQA Unit - DG4P 35.Website - http://www.sqa.org.uk/files/hn/DDG4P35.pdf will have the test criteria
Expert:  Mr. Glenn replied 1 year ago.
ok will the site for a while
Expert:  Mr. Glenn replied 1 year ago.
So you only need the coordinates of the maximum and the minimum points within the interval 0 ≤ t ≤ 2pi right? So I will just differentiate, then equate the first derivatives to zero in order to find them.
Expert:  Mr. Glenn replied 1 year ago.
Can you kindly accept the small offer below? Thanks.