document.write( "Question 896522: Please find an interval for the function y=-2sin3(x-pi/2)+2, where the average rate of change is 0. thanks! \n" ); document.write( "
Algebra.Com's Answer #543674 by stanbon(75887)\"\" \"About 
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Please find an interval for the function y=-2sin3(x-pi/2)+2, where the average rate of change is 0. thanks!
\n" ); document.write( "-------
\n" ); document.write( "Note:: rate = slope
\n" ); document.write( "Note:: Slope is 0 for the sin when the angle is 0 or pi or 2pi etc.
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\n" ); document.write( "Solve::
\n" ); document.write( "3(x-pi/2) = 0
\n" ); document.write( "Ans: x = pi/2
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\n" ); document.write( "OR
\n" ); document.write( "3(x-pi/2) = pi
\n" ); document.write( "(x - pi/2) = pi/3
\n" ); document.write( "x = (pi/3)+(pi/2) = 5pi/6 = (5/6)pi
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\n" ); document.write( "Note:: That may not be what you are looking for.
\n" ); document.write( "As the angle passes from pi/4 to (3/4)pi the sum of the slopes is zero
\n" ); document.write( "Solve:: 3(x-pi/2) = pi/4
\n" ); document.write( "x-pi/2 = pi/12
\n" ); document.write( "x = pi/12 + pi/2
\n" ); document.write( "x = (14/24)pi
\n" ); document.write( "x = (7/12)pi
\n" ); document.write( "----
\n" ); document.write( "And:
\n" ); document.write( "3(x-pi/2) = (3/4)pi
\n" ); document.write( "x-pi/2 = (1/4)pi
\n" ); document.write( "x = (1/4 + 1/2)pi
\n" ); document.write( "x = (3/4)pi
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\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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