Third Degree CBD

# Third Degree CBD - DERIVATIVE OF x3 This sheet plots the...

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a x 1.1 -3.0000 -27.0000 -2.9900 -26.7309 -2.9800 -26.4636 -2.9700 -26.1981 -2.9600 -25.9343 -2.9500 -25.6724 -2.9400 -25.4122 -2.9300 -25.1538 -2.9200 -24.8971 -2.9100 -24.6422 -2.9000 -24.3890 -2.8900 -24.1376 -2.8800 -23.8879 -2.8700 -23.6399 -2.8600 -23.3937 -2.8500 -23.1491 -2.8400 -22.9063 -2.8300 -22.6652 -2.8200 -22.4258 -2.8100 -22.1880 -2.8000 -21.9520 -2.7900 -21.7176 -2.7800 -21.4850 -2.7700 -21.2539 -2.7600 -21.0246 x 3 -3 -2 -1 0 1 2 3 -30 -20 -10 0 10 20 30 X Cubed Column J Column K Column L x values DERIVATIVE OF x3 This sheet plots the graphs of x 3 and a numerical approximation of its derivative. Since it appears that the derivative is a parabola of the form a ⋅ ⋅ x 2, we also plot this function for any specified value of a . Set the worksheet for Automatic Calculation and then adjust the slider to set the value of a . See if you can find a value of a such that the parabola exactly matches the derivative. C The M © 2010 Th

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-2.7500 -20.7969 -2.7400 -20.5708 -2.7300 -20.3464 -2.7200 -20.1236 -2.7100 -19.9025 -2.7000 -19.6830 -2.6900 -19.4651 -2.6800 -19.2488 -2.6700 -19.0342 -2.6600 -18.8211 -2.6500 -18.6096 -2.6400 -18.3997 -2.6300 -18.1914 -2.6200 -17.9847 -2.6100 -17.7796 -2.6000 -17.5760 -2.5900 -17.3740 -2.5800 -17.1735 -2.5700 -16.9746 -2.5600 -16.7772 -2.5500 -16.5814 -2.5400 -16.3871 -2.5300 -16.1943 -2.5200 -16.0030 -2.5100 -15.8133 -2.5000 -15.6250 -2.4900 -15.4382 -2.4800 -15.2530 -2.4700 -15.0692 -2.4600 -14.8869 -2.4500 -14.7061 -2.4400 -14.5268 -2.4300 -14.3489 -2.4200 -14.1725 -2.4100 -13.9975 -2.4000 -13.8240 -2.3900 -13.6519 -2.3800 -13.4813 -2.3700 -13.3121
-2.3600 -13.1443 -2.3500 -12.9779 -2.3400 -12.8129 -2.3300 -12.6493 -2.3200 -12.4872 -2.3100 -12.3264 -2.3000 -12.1670 -2.2900 -12.0090 -2.2800 -11.8524 -2.2700 -11.6971 -2.2600 -11.5432 -2.2500 -11.3906 -2.2400 -11.2394 -2.2300 -11.0896 -2.2200 -10.9410 -2.2100 -10.7939 -2.2000 -10.6480 -2.1900 -10.5035 -2.1800 -10.3602 -2.1700 -10.2183 -2.1600 -10.0777 -2.1500 -9.9384 -2.1400 -9.8003 -2.1300 -9.6636 -2.1200 -9.5281 -2.1100 -9.3939 -2.1000 -9.2610 -2.0900 -9.1293 -2.0800 -8.9989 -2.0700 -8.8697 -2.0600 -8.7418 -2.0500 -8.6151 -2.0400 -8.4897 -2.0300 -8.3654 -2.0200 -8.2424 -2.0100 -8.1206 -2.0000 -8.0000 -1.9900 -7.8806 -1.9800 -7.7624

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-1.9700 -7.6454 -1.9600 -7.5295 -1.9500 -7.4149 -1.9400 -7.3014 -1.9300 -7.1891 -1.9200 -7.0779 -1.9100 -6.9679 -1.9000 -6.8590 -1.8900 -6.7513 -1.8800 -6.6447 -1.8700 -6.5392 -1.8600 -6.4349 -1.8500 -6.3316 -1.8400 -6.2295 -1.8300 -6.1285 -1.8200 -6.0286 -1.8100 -5.9297 -1.8000 -5.8320 -1.7900 -5.7353 -1.7800 -5.6398 -1.7700 -5.5452 -1.7600 -5.4518 -1.7500 -5.3594 -1.7400 -5.2680 -1.7300 -5.1777 -1.7200 -5.0884 -1.7100 -5.0002 -1.7000 -4.9130 -1.6900 -4.8268 -1.6800 -4.7416 -1.6700 -4.6575 -1.6600 -4.5743 -1.6500 -4.4921 -1.6400 -4.4109 -1.6300 -4.3307 -1.6200 -4.2515 -1.6100 -4.1733 -1.6000 -4.0960 -1.5900 -4.0197
-1.5800 -3.9443 -1.5700 -3.8699 -1.5600 -3.7964 -1.5500 -3.7239 -1.5400 -3.6523 -1.5300 -3.5816 -1.5200 -3.5118 -1.5100 -3.4430 -1.5000 -3.3750 -1.4900 -3.3079 -1.4800 -3.2418 -1.4700 -3.1765 -1.4600 -3.1121 -1.4500 -3.0486 -1.4400 -2.9860 -1.4300 -2.9242 -1.4200 -2.8633 -1.4100 -2.8032 -1.4000 -2.7440 -1.3900 -2.6856 -1.3800 -2.6281 -1.3700 -2.5714 -1.3600 -2.5155 -1.3500 -2.4604 -1.3400 -2.4061 -1.3300 -2.3526 -1.3200 -2.3000 -1.3100 -2.2481 -1.3000 -2.1970 -1.2900 -2.1467 -1.2800 -2.0972 -1.2700 -2.0484 -1.2600 -2.0004 -1.2500 -1.9531 -1.2400 -1.9066 -1.2300 -1.8609 -1.2200 -1.8158 -1.2100 -1.7716 -1.2000 -1.7280

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-1.1900 -1.6852 -1.1800 -1.6430 -1.1700 -1.6016 -1.1600 -1.5609 -1.1500 -1.5209 -1.1400 -1.4815 -1.1300 -1.4429 -1.1200 -1.4049 -1.1100 -1.3676 -1.1000 -1.3310 -1.0900 -1.2950 -1.0800 -1.2597 -1.0700 -1.2250 -1.0600 -1.1910 -1.0500 -1.1576 -1.0400 -1.1249 -1.0300 -1.0927 -1.0200 -1.0612 -1.0100 -1.0303 -1.0000 -1.0000 -0.9900 -0.9703 -0.9800 -0.9412 -0.9700 -0.9127 -0.9600 -0.8847 -0.9500 -0.8574 -0.9400 -0.8306 -0.9300 -0.8044 -0.9200 -0.7787 -0.9100 -0.7536 -0.9000 -0.7290 -0.8900 -0.7050 -0.8800 -0.6815 -0.8700 -0.6585 -0.8600 -0.6361 -0.8500 -0.6141 -0.8400 -0.5927 -0.8300 -0.5718 -0.8200 -0.5514 -0.8100 -0.5314
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• Spring '08
• Strickland
• The University of Arizona, The Mathematical Association of America, Business Decisions Release, Dis The Mathematical Assoc, Arizona B The University of Ariz

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