document.write( "Question 615588: On a typical day at an ocean port, the water has a maximum depth of 18m at 6.00 a.m. The maximum depth of 9m occurs 6.8h later. Write an equation of the form h = a cos k(t-p) + q to describe the relationship between the depth of the water and time.\r
\n" ); document.write( "\n" ); document.write( "I already determined the parts: a= 4.5, q= 13.5, p= 6 , but I have no idea how to get the k ( in the form of (2π\k).
\n" ); document.write( "Could possible give an explanation of how to get the k， please? Thank you~ \n" ); document.write( "

Algebra.Com's Answer #387237 by stanbon(75887) $\"\"$ $\"About$

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On a typical day at an ocean port, the water has a maximum depth of 18m at 6.00 a.m. The maximum depth of 9m occurs 6.8h later. Write an equation of the form h = a cos k(t-p) + q to describe the relationship between the depth of the water and time.
\n" ); document.write( "I already determined the parts: a= 4.5, q= 13.5, p= 6 , but I have no idea how to get the k ( in the form of (2π\k).
\n" ); document.write( "Could possible give an explanation of how to get the k， please? Thank you~
\n" ); document.write( "------------
\n" ); document.write( "Period = (2pi)/k
\n" ); document.write( "---
\n" ); document.write( "Period for you is 6.8 hr
\n" ); document.write( "2pi/k = 6.8
\n" ); document.write( "k= (2pi)/6.8
\n" ); document.write( "k = pi/3.4
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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