document.write( "Question 1148013: The length (in centimeters) of many common commercial fish t years old can be approximated by a von Bertalanffy growth function having an equation of the form
\n" ); document.write( "f(t) = a[1 − be^−(kt)], where a, b, and k are constants.\r
\n" ); document.write( "\n" ); document.write( "(a) For Pacific halibut, a = 200, b = 0.956, and k = 0.18. Estimate the length of a 13-year-old halibut.\r
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\n" ); document.write( "\n" ); document.write( "(b) Use the graph of f to estimate the maximum attainable length of the Pacific halibut.
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Algebra.Com's Answer #769374 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "(a)  Part (a) assumes that YOU substitute the given values to the formula and then YOU will use your calculator\r\n" );
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document.write( "     or your computer to complete the assignment on your own.\r\n" );
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document.write( "     There is nothing for tutors to do for you in this part ------- it is PURELY YOUR work.\r\n" );
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document.write( "(b)  Part (b) assumes that you will use your pocket graphing calculator, or plotting utility in your computer, \r\n" );
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document.write( "     or plotting ONLINE software in some Internet site and, again, will complete the assignment on your own.\r\n" );
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document.write( "     As a tutor, I can recommend you to use (FREE of CHARGE) utility of the site https://www.desmos.com/calculator for plotting.\r\n" );
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document.write( "     Also, as a tutor, I can help you to analyse the formula and to get the answer even WITHOUT making a plot.\r\n" );
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document.write( "     After some years (many years or several years, 7 - 10 - 13 years) the term   becomes small and even VERY small;\r\n" );
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document.write( "     so small that we can NEGLECT it.\r\n" );
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document.write( "     Hence,  the term  becomes small, and we can neglect it.\r\n" );
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document.write( "     Then what remains is simply the term \"a\", which says us that the maximum attainable length of the fish \r\n" );
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document.write( "     after several years becomes very close to the value of a = 200 cm = 2 meters.\r\n" );
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document.write( "     It is the answer that I expect to (b).\r\n" );
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