document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170913>Question 170913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person’s blood pressure, P(t), in millimeters of mercury (mm Hg), is modeled by the function P(t)=100=20cos(8&#960;/3t), where t is the time in seconds.\r<BR>\n" );
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document.write( "a)What is the period of the function?<BR>\n" );
document.write( "b)What does the value of the period mean in this situation?<BR>\n" );
document.write( "c)Calculate the average rate of change in a person’s blood pressure on the interval [0.2,0.3]<BR>\n" );
document.write( "d) Estimate the instantaneous rate of change in a person’s blood pressure at t=0.5.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126181 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=126181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A person’s blood pressure, P(t), in millimeters of mercury (mm Hg), is modeled by the function P(t)=100+20cos(8&#960;/3t), where t is the time in seconds.<BR>\n" );
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document.write( "Form: y = acos(bx+c)+d<BR>\n" );
document.write( "Period = b/(2pi)<BR>\n" );
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document.write( "a)What is the period of the function?<BR>\n" );
document.write( "Period = (8pi/3)/2pi = (4/3)pi<BR>\n" );
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document.write( "b)What does the value of the period mean in this situation?<BR>\n" );
document.write( "The time between highest pressure and the next occurrence of highest<BR>\n" );
document.write( "pressure is (4/3)pi seconds<BR>\n" );
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document.write( "c)Calculate the average rate of change in a person’s blood pressure on the interval [0.2,0.3]<BR>\n" );
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document.write( "P(t)=100+20cos(8&#960;/3t)<BR>\n" );
document.write( "Average = [P(0.3)-P(0.2)]/[0.3-0.2]<BR>\n" );
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document.write( "d) Estimate the instantaneous rate of change in a person’s blood pressure at t=0.5.<BR>\n" );
document.write( "P(t)=100+20cos(8&#960;/3t)<BR>\n" );
document.write( "The instataneous rate of change at any time \"t\" is the derivative of P(t).<BR>\n" );
document.write( "P'(t) = -20sin(8pi/3t)*(8pi/3)lnt<BR>\n" );
document.write( "P'(0.5) = -20sin(16pi/3)*(8pi/3)ln(0.5)<BR>\n" );
document.write( "etc.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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