document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61640>Question 61640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the instantaneous rate of change for f(x) = x2 + 3x - 11 at x = 2.\r<BR>\n" );
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document.write( "A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x2 + 1589. Find the total change in cost for increasing production from x = 233 units to x = 338 units.\r<BR>\n" );
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document.write( "A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.06x2 + 1187. Find the average rate of change in cost for increasing production from x = 204 units to x = 329 units. (2 decimal places)\r<BR>\n" );
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document.write( "find the slope of the tangent line to f(x) = -4x2 when x = 200.\r<BR>\n" );
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document.write( "A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x2 + 1921. Find the rate at which costs are changing when production reaches x = 244 units. (2 decimal places)\r<BR>\n" );
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document.write( "find the slope of the tangent line to f(x) = 5 - 3x2 when x = 5.\r<BR>\n" );
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document.write( "Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1336 + 8t - t2 where N is the number of voters and t is measured in years. According to this model, how many people voted in year 332 of this study?\r<BR>\n" );
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document.write( "find the slope of the tangent line to f(x) = 7 - 5x - 2x2 when x = 1.\r<BR>\n" );
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document.write( "Find the average rate of change for f(x) = 3x2 + 4x from x = 0 to x = 5.\r<BR>\n" );
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document.write( "Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1344 + 10t - t2 where N is the number of voters and t is measured in years. What was the rate of change in the number of voters for year 336?\r<BR>\n" );
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document.write( "Find the average rate of change for f(x) = 2x - x3 from x = 2 to x = 5. (2 decimal places) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42437 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=42437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability-and-statistics/61640 (2006-11-15 21:26:21): Find the instantaneous rate of change for f(x) = x2 + 3x - 11 at x = 2. <BR>\n" );
document.write( "A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x2 + 1589. Find the total change in cost for increasing production from x = 233 units to x = 338 units. <BR>\n" );
document.write( "A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.06x2 + 1187. Find the average rate of change in cost for increasing production from x = 204 units to x = 329 units. (2 decimal places) <BR>\n" );
document.write( "find the slope of the tangent line to f(x) = -4x2 when x = 200. <BR>\n" );
document.write( "A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x^2 + 1921. Find the rate at which costs are changing when production reaches x = 244 units. (2 decimal places)<BR>\n" );
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document.write( "C'(x)=0.04x<BR>\n" );
document.write( "c'(244)=0.04*244=9.76<BR>\n" );
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document.write( "find the slope of the tangent line to f(x) = 5 - 3x^2 when x = 5.<BR>\n" );
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document.write( "f'(x)=-6x<BR>\n" );
document.write( "f'(5)=-6*5=-30<BR>\n" );
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document.write( "Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1336 + 8t - t^2 where N is the number of voters and t is measured in years. According to this model, how many people voted in year 332 of this study? <BR>\n" );
document.write( "Find N(332).<BR>\n" );
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document.write( "find the slope of the tangent line to f(x) = 7 - 5x - 2x^2 when x = 1.<BR>\n" );
document.write( "f'(x)=-5-4x<BR>\n" );
document.write( "f'(1)= -5-4=-9<BR>\n" );
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document.write( "Find the average rate of change for f(x) = 3x^2 + 4x from x = 0 to x = 5. <BR>\n" );
document.write( "Average rate of change = [f(0)-f(5)]/[0-5]=[0-(95)]/-5=19<BR>\n" );
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document.write( "Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1344 + 10t - t^2 where N is the number of voters and t is measured in years. What was the rate of change in the number of voters for year 336? <BR>\n" );
document.write( "N'(t)=10-2t<BR>\n" );
document.write( "N'(336)=10-672=-662<BR>\n" );
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document.write( "Find the average rate of change for f(x) = 2x - x^3 from x = 2 to x = 5. (2 decimal places)<BR>\n" );
document.write( "ave rate of change = [f(2)-f(5)]/(2-5)= [-4--115]/-3 = -111/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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