PROBLEMS

Question 36.1

yMPtI/gFEYIuZelRxCqRC3H9c3426UYABnFnnyK8Tfniprs5j+4hPN4tDfHLdOvyZti0IYXSHwj6yQAUjcfzKah78XQZHT+dkz8NYjsvILv47KPnZC1tS0Jw8zsUE9c1hAs6zHUFK9JS60Xv

Question 36.2

U3pSp9nKmuptXxeR4GLioEq/34BSbzI5C2D8vf37LCO+odLbldwYInaK9EhAv6N8uYhyIG8mVZODJhfJL863IMk/14WQGp8mRy9k+mUH7Z7cUjX9p50aUREIw9TJlQsQTMfdPk1IXJYJtmnCmTQNoehKHYpeiJHwZKlqihboRfYnhA/wxA8IupBgom8hFL02jz2lLMQl5y6u7Q0K9VxOxA==

Question 36.3

p3uWYVhijwn7x7r4+HKUySsMJG032AgCA2CAtGnZnd8ydwRgzuV8wwGaDmEfCB5In8Crcq+XvPNVhTmGW847ke/8KC279fZwR6LZlzBe8zduioVqlKTmkYPPktOSZZnOeEq9bB6/ziEmNvYbJ+G4GImvhmqP2K70VMYWlxs+fAY=

Question 36.4

pL69ACA0CkEJyQfZASGABB3kSy0lzFA2kf6SULMQL57ZSgMCkJQI3tIGB4sRCnz7bpUayJ5sPAP4ZfSJYcDbSbD7VQNo7gdlQENvn6yRu28wc3QSC9iwB+8sxF2uN0j05nZJJbd+GYql5MC8CRNqEDLNuFKZDduL00idjH/B6EdtBb0yIVBJAcUG+lZFngspulD5I8EKViE=

Question 36.5

HsHDAQlAGPr6QfwDH1cR+A6uIcewJxoEo1113EqZ0RFuFZaEJpFflixxL9SqwfMKENKKIqz6qxy31rqc/SYIx4kX7jiAeEQqng7w5c9sK2OjuoYPNvu9n4TIKFTtXt/hb8QEX6G1dCfP3Q+yyfzdXzAsQ+hI3FduL4WicFRtW75wJ0Bkgb9EPQEDdfOXd/SZXuxjlcUyeAJ7/rkeG3CLqV6SF2Do1nbp

Question 36.6

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

Question 36.7

UvI7OvTy9J5+ChlJ9eCMcqoYvKzuvRc8vjT79FvHfrebyJIR/WGBgfB3n4DExsB2VIb8uiR22bVNavj02E0ZKDpDzIc=

Question 36.8

nIWGFiP9F4TOqWdI3u8sLWKWU4lxuSmmJrdUp5EjRDnJR0ypxJ8/TQi91dZkAwyQQFBjmw==

Question 36.9

NqcYtKoq0Oi+tiGZEhMZ2vaFzO/GeqScDmWZtroSjmlMQLlv75bERWm/pf3ogkNKrAqlbapwy1AFIOq8DvP0hoS/+6FGE+D2KBgYLKhQCl5yxoQ85wlnR7Sb9j6dY77JWoXUZKPvKC8MOoa7

Question 36.10

YbMJHrYdJrVX/tKew/7z931UX1k6m3OubsvurhPaBNo6WGuoDBN65kKAYCQQRXMwhcoSjWzRNIT4sBpydzXpGXtvlVj4GkgQGILn8Jv2df5Zem9CWW2dT2s3D1gJhLtEGSaVCXvuA4SdhD//LbbTo4Z+oF2816hk0LvsB+qMD3DdqtVj+jw2nZ7NRszI7XTKQuDxxCD0y0w29Pxpkt5BmyFlEBdI39WKR/5sI5acco0Xf3Yn9DeBuuFAJ5s/xVnvm6FchhAVTfTZdhPUQ1z7JuG9lrrUJcv63E66t3VIXvAi2OVjq1ayxrM4XV9ktzLhOGB4+w==

Question 36.11

nQsFSpot0/moRho6KNrUL89bIkJ1LG+B4SQdRPrWnZBgwJ7Xy4xarmc9FZ/rso7qIHtzLFM6fLE1cGA+I3z6BzEa64Cy2xziIchS1+yj2llicAkl1DcaPms78iyZbEAce4ovTs5GV+NsmAV7NPXvVjtreTk=

Question 36.12

0wNyMB/0+DMUYixMwntVUsYBROgSh6sc1PnlMm5NOyljoRM0dhSl6mAf+J1RWScDh3BjlIO3eWQzXOtDEA7qpyXwGnFewJD+uQGJxb4404iARRRmzRey/tNm1dzWDQc/BkVukZ32TPaomYht9fP9ErTOE0mX6zpL

Question 36.13

Ruf8lJjQEy8c5dFpd5o8MxUF8+fLJ2Isdffz+6XdjjS/YmV6zQ3gmYNhOxFRQ+889RA/x/aGYislTeRAtROcNaAvn/y9bpdyEjKLA5TEwv9bCdOnljXI6FzO9z9/srmHS1FUhn7HpNdxF2sHnY9YX7sn8S1+QZrG0O3NbLdVLEsWqBOuuBoaXkRrKU+WrE+0rvne7GuOOQNibj7rR5TVyAA3rQABVInNmQOf6Byv8Nc/ODVx/VyN4pxL1LHXm6A2/yMcgJb/YNZVsSAgWAtSYEYVtizY5Wz1Z97yNI89amFTGK7O0poFTU5j297FI4jJhjK89FKg+TlA05xhCs2LIpqE5AhCyCiNjTRFcvBVCjAy8vY9

Question 36.14

bG6ttE0DsDLrrR1o8LS0OGKHRfuAnqCmaH7uXMPdcz2Of60b9+unaOkIljkLnlRH8HneCutQZOXRl4lUPf4ok+fT4DfTrot3LtHxyk81jKBXro+tHVAFKlCPxE0IXV1ZzbczsdtprGhfep0evTWHn8d7TYNg3yVx1cFrJs8LVem9ix8tPqQwAA27aSwVsWJ1WxXErUxgEXTL9eR6nqlV6yLGus5OsNsDqFY7/JhCJwot4cJIzCnR0maSiGjMIc3c4wHrPQBJXfQ=

Question 36.15

TlAkQgcE+LLEdR+PkHchcrh09kEWNNToPPQbCCdzkxw07vnC7lxtiksISYkaL5xba1EP21amZKRU0xzbSD3gt5PahZuWjktUnLQOYGw7Xki/RBAU7YnKIkKw+46ke6d0KmnMIHx7xwE/vUKqlyTN6Z6/mvyzrktZSU53nvCmfaGdi4iMzDlhHH6l17L2YX9dN/peEEDmK35thOmegOlyLhn4RgoEIWEYaj+sl56curydexQ55Q2/a6JR2vb7W6XDGDb2nZMRtn9y78ONwbPFuCbfsRn35mnaCGMWOSAQz47sqhnVOQWgBixSdmoqxyjZ/ifxQl39HjdphuYrTiC6GyL4dMM=

Question 36.16

/qhRsbdnloh8tU+Zg2myrfJSf3mwWmw926K7ojPF8UnHP2c+GpgWaC22a/Tr+ePwcYP7cJGuKPynTHm8tllZke0WaZqrvZPMcfWzrvTRGzdHHy8kw/dEaD9cGrqNrcNem90XeXsfv3tdFvd+B9iy4EWw9PsnXFr8pXGcebJ4I4fVBdGRdEXIy6qfr0JszvXX

Question 36.17

gMSqlktZmK4immNK92Z1kqHrEHcoJq+sQ2ppHkvaTmjSqtcSbIPXQ3A8dIuZtHUiVOzOKOBa/uLuODghCq8Sj2cQNHThf8rfi7FXQpwNx8rqMP6M9VuoZc4Fu4Ii7qM1r9c0O46zyt3ZtvWsxnUucrs8a+nFoFOpc8AB3WvBwz9q5u6GogbeiWPAqgL7+3yTVCZYM87ZWS53ywX2JZIXrQ==

Question 36.18

YO2qfKcq3IB7LjfR+9609LzDengiSmIcOal5L3BBbE+crfm257CuEHI2A6FCHsU413HSObCw8GiD65PSdxN2k0PKSlBJkaBVYnPUJ1ZcNClRKaeVomjT+Kb/5wT9NDgan0hSJKHSk9c+mdqU/PkNEBJS3XItAbQziR7Q61wggYMB4mvlHUYuCJiE1xtQO8Ol23C2T/wpIyTfxWOVselkDh3My91MxS+nNEKMce7r8qh9oiVtLXKV2u1kTSgcCBA8D+aZiyApd2hkdQKh0GqDfTV3mAemXvg0cHKvkssbMQcDdY0+44EVUR51m0mA2+dfxi/5aT1LPfCYbpYdq3Da08abBiWY8LVGqT5ptSoItNwdQt84q2J8gtIR+meK7Bj/0pQnHKYyPcQoFf+bXKHpSbOi5jwsptt5

Question 36.19

dlF+WiqI69FtEydmjcWj+hopmjpZNkNG2nlN4a6gthy1b1iHGnLlpEEFfa4ZL9ybZ8pLJc1dtLKgODyTotwNJ2+e++IchNOnWHhM24+croiH5Z1xDMOd6yBtF7D8tarIepV4un06DJ4seCZdE4/6n9ZTiLTwZRDxkK4CoxivLoc0qU+XVO3ZYEKbALT8Fg5bRVC09Pkdvdf+MWQRzzc0SZJ7ybOMSqNuGFP49ghqThKW/UC0RwAZQKvdl8nKNV62JN1oRCpbn9WCRn9Vm34WHapcQeMggXzzee1pycuTGOd6DCDM5oaxLadxrke48X2yftRUmkBlfU8fkW1wZc4f6NJ0jYsWCs8RDH1iLJ1yFdGvjPqeZxwZM2VaoXbD+QQ0E4PCug==

Question 36.20

skmAHRWQ3eLh409DV1dDn1CF51vplkNGn67ujfNuISbXLLh5RgMGQvygy1S1HXMqrnsXjOEH9rxUoQDxMroaf6f5SOF8acZo1Iri51Fj6l3URWd0gZVTsUDFLUeeuCXhBBAd2k4hxLMLQBESn15kycwTaidQ3Eth8S3Vf8QvCQ+R4sgWH9I10kZB5TuCio9JfNyYCDZ4HsLJB4u6W/KnNqNoOZFlN7Db/5AbBakmcuxiOEvqbnym1VmBvplVYNjiYOS/BDG0Aic1YUmXx7KRHIQ4lUBlzpQ1h5xuA682Q5fi3BTgu8VmUviASGYnFhOiXKCJ6vrVUPOZrq1qUfzixNaFqqZBD4Q1Nr8Uu66Ki7k/eU7g4knC/vVgE66viXA4+gdcXAeeVGlAODo2peb0OzRNbt8Tr2NIWPvr0jVDlAySMMpblBTYDI6LyrVRhGpewdbMsPSiRFihBVHMY6q5X2Jdt3Q=

Question 36.21

rb5eAaQ+rdVjRQkH2smufjJNkCr6Y+cYmkwz8CupkCpatrSpA+7J2k25IIJVsH/dy3rGDzqUAXuYi2ik1mGh5dz0gIU2eQEidyHilcFIvw/j9mLBBo6jmo2rU1O5zBInTJCtHQ==

Question 36.22

3wQUiaLDB34DYQaYp6dEF0HGiQMZW5pnW2Si9hNdYFjZ9H+f3NrdvYUHndG0s9vUjfTriIo8Xo0phsZmZ8kw0LiU3kW31GF/hvXgH15hc5pK599NVsG0b9mQbbEXJYYQiyKnjKUs1hT/gj3cGUbECZS828enJFci9CLfgVQWWSxgZMe4cDtG+cfznLzMcYea/waKCKskok9GI4XaLaLs7qqJWlcF+a3sq6NhnEKm4qxi3UEXi9LivoUJNc/tbGiLJ2s1IK181j37aW8EtyfHxpfUYePkUTTVMV5Oa7cFKjEKwJA0W4+XFq7eNgJZSA11p1AulLMXaOCO4cv+QqlLQ6q9DFCKUhcUTDZEvRldHe69mdUyH2HvgxDWFdo++arNqHp1EDfvlSG0nVoL63vbr3hQTTHSvCWq5DrsrQ7m+za0hSS2Ernzi7L6yg3+HXFARNnWShoM1I9M3hs572ONoFOnC/cKObHl5dur3lv+jd/eH8Rx92evSaVeSlXR6eMhoChCbNgThh1/hPu0WrTR/w8H3lGWQ/9lSeFj10wFzZp1okSldVkO6/Ss1OMYy1JIbwUbdG6Q27jkz0O5J6EIvf+oyPOjpfAYbOGAHe4mNnmq5QRhhOudK5hb73g2niSB4s+lWGS49b0+GsaBKt3ocRdpkkKGKOeKpnjLonwatQMW7L5QIblN0WrQZlOZocQwQ1p60zOMT88dDY0L4RkoEgplzD4OCTXSCQcnNKMeQzsCLcm2qcaQCnjFiPhg9rTqaQfGE44Kw7xtfl2ahm0e/brQSirbPT8J

Challenge Problems

Question 36.23

Niohjp405dFha5RNcJYPk22lop6Uh+KwcKJN3+SAbE81XdsLtYRazw6UZlkcilIof2+bcKEn5+iNJHNIT3SzZ7/hVtzpjcMYTFxLj2BDB2cz2bBCJj6gFVHZx0g/xCRZCOQcZ1FmEqHx9fz1mwWZ28qrb8fErqB75+Xmi9Qe5S86wBROlNUehSj6tXK2etM7Z0EIITGQs41NstksfPi4q1gm8gFS2MVLwqFqdAuY8k0ej1EVu65KFWBfk80Pz7Xs

Question 36.24

lTdYHC8X6PH4pSYnyry6lUn/+jLB24CsJnptU8aoPTIWpQVQ2IsKoW3V95Y37zvd8V1qN8n+LsPb0BlSIYrizw4CAYg4I5HZH/RgdJJyE4yQRT2Pikl8OtJ1mH0W2zkr/QrBVkf8UO9JD6KXLTPodI1w1+0nDrpm2GUQxfaZXuNHmW0kz+3gNktVhOumfkG1ispswSWFwnHwFhz/C2RxjgrWVIybpWP3S+P1+bIPHUwhNNHF2s/wpTs2SBGD1WGIT786gidff7nk3N5Ca82Y+iTq4P/r4tcRVAtN0hpcH3W7jOv4jm+zkHqykBDEyrMIipmnlxkMSV9ahjjYbxcnDITNJGoV9zy/c3sg9w2NNfAnbkWiXGAPtbv9Z1HtPsaiVqp7KRt58ZzSbhlBTHoP3u1uc24Q8uSb2sN8fLt4kYbyoniJzF+A308/wTElKOb1okdLt2sKpjZePyvD1OZwMaex6/Hbly+MxC+swxHMy2hOuk2HI2l/0mFl3iXppg/WaQMH5DYHQbPmEm5ECMYKBAnInPl1BsOtBQM/zZrCQEN4sJrvb4hXvj5pAR/5E/FSmyy/8/psgchZbgPtaQw6sLJKg67geW/orXPiH6piTFwrk6JdbXKXc0HJiHKj9v/WtBBXAjJ7qjfplzTxaF6yUhG+jLbFS7DyuZdD3w==

Question 36.25

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

Question 36.26

iiAsaDMPh+AiHUrpAIgB42BZ3fhjL0r411u+RlmnAG5OdS5fLGYHRNxcHo1gKmALB7cn9R0VZOP5mICaTWGzN79T0Ot3iwTBQAFxx7DB0iWBTCyZ6qXLJK2m3tGUwD62emievDJC75eKjoPIy0TAm2HuKFkkmvxKGLFaSOf5SvT52NWf6FItwyvdgqnJU2xFWzapWBv1rC4U+dGprsbwMmC+vLcd8wGPVjwGGMxSD5Uuo15iYiR6lCeGRtoBFQhCQQ9XQg4MZxE5NwpPSf9Tlq39lQ/2d7GKqXNqdObPGLehm4nVnsovhqSt1VGqeIbvh5e7Jvz8Zvd6OBMJ6skWLI3l9654t59i5QhiXDrG8UEv7kZZzZxoVGeDOCZqRR915uqJpXZ2R/B5XzWoZ/fWA6RSwH7Uxa9P9rkilhe1NvPX982AvgTkfDKCp3U+6JAnbf+rHd1kOJVeKF99HPD7+BlgqKsVbNA3Cmuj6U+bY+KFT4YP

Question 36.27

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

Selected Readings for this chapter can be found online at www.whfreeman.com/tymoczko3e.

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