PROBLEMS

Question 4.1

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Question 4.2

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Question 4.3

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Question 4.4

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Question 4.5

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Question 4.6

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Question 4.7

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Question 4.8

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Question 4.9

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67

Question 4.10

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Question 4.11

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Question 4.12

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Question 4.13

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Question 4.14

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Question 4.15

B/SbNVkmCBDFP+pDwSuIGVguKnwVQZl+9QfI4+F+7NU/Q+tXb7a4vulyo5/eRaoFbox8ujDns/Ibv30ucyoanI4mcv/DKV7C7p2pykxpieUInt3SYvys8EdknEBTTJ2dAziCBVEkKLA+TUgwxY9F/GfptspOZKgkvhfi1zEiyQwG89/DKjIphw4Mp+GdvdUQmLLvRij5ngITzQVQeZVfawkSUezSFUfs

Question 4.16

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Question 4.17

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Question 4.18

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Question 4.19

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Question 4.20

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Question 4.21

I1oGU7a8+fNs+I1Mu8+dxDsdtwnK9KANZGJVX6JdWyieRmICKFvKe5qcGmlPYsoEvGp7WEzhlW13XAl/SYuG6jDmia8Za+lL1gZ0bPk4pshQOALs8DytXPmaN0c9cB+jr2zanQvNP5K4B+WdaHWAMBROX7pjSY1Tw+BXm44dQ8DvPm53nXqiDj5JErdb6ZhGfMbLdOeGn4wz0FTm3rjlm5UVt23p9Jd/GsVJx98Yn7CY//zqFRUL9bO4NrTUGjs3YX8zGj270Y12MkfPe8QS8nidAmrTUXf4LwmxIPhR1uP7pymshC0JxQ==

Question 4.22

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Question 4.23

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Question 4.24

iiN07VwYEb4P7DKLbVjDJajGStQyLOHBFMpjE6u4bg+IKgjYqZYfQybl1v7DbGMsSn9Lj3hdKTRfNdQN/cHAEuwdg4DS0s6me8rlWki5Tsgv7pg1bk8GIfSuXWK1dpTxwMrOuCZd/8HPbhaD3DdM1DAIasK7kAhviW8XTwyJ8pTjKd0phiPgBEqLWmiRN7jCkVbSofs1IBfkifaB3X4Qz0V9aXUxzggVlzJsIDTh1rfIbkhcjM/wtDAFH+eMDGob6TicY8DnRMG4rAPL

Question 4.25

6CVP4QkttM6oEOmCPWbSQLN2r4YrS64/ab4GvrseojMCLpZNqpS6YDfowwJ+5Co79JPqNDVK4NI4Wpu45jBmg1BCQDL1fqzsUCeHAReZtz7se4uQ/u37pvlVLhzc8GfCXY2j/nGYseiVfkDS1P8ig2ta13KLx9VhYHBFrtt2CoUlTlU63ikUivvGnaSJ3OgepJPQpv87rxzwOFjKBIypOw==

Question 4.26

+zJHQTfbFUtQXkMZ4U8bE2CadQn7xBHLPe2IvG1Qs10/sRBNjGKSM0Pn/DFmBrCxkneLoSWxIKkgkzF92ByxlTc2KY5MtLEVFhGMXY+R5dMtzHVjCp2GLKlQ/kD3eoL+3I8PHsuuHjY6EldMbMpoX0FHQaDxNHPsNPJvZ4nLjfQ5BrtbNZyIRbmumLptaA+e9mUhHExG5y/PU4LJ1lar6U5f7/jcHSDN3dd7iguE35DlbfwKa4BRIVLfH55oAfWjVsgvYGPFI07HmPwseLUdxuFRkc+FQmNbqboH2f3gbrQTlOHhrMWJqdipQTjpVzqePzQ+EmGpfh0YoEWVI1eSTczEvQdV7zhGC5elTw==

Question 4.27

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

Question 4.28

IHZCWPAA4T4qbrm/cTIAR8+VgEm4q3cs4hxuFUhKNx5LYm5Ia25pShSKKcu1SX2YCbIez7XpW46oQ0IdMguHS0YpRCu6GryhxfN7WepDxl10StnXvOBt9IVafWbQARK4KlsK7BgkswVzkyD7LjMKBAnJk0uEpvv1tiYh0aeXg+eP4V68Xn1/MZkaA8oVeg7qMMKgQeCzqI8761aBWygCYyfRqe5CZPOz0PJywOf4Ase1UvDRSg0CMYdyK/T8L3ZXHj1GW0JQFHY7Wjg7clISff7JVCpqxUmp+HDjuzeLcBmNfPIz+mu04wVcRBNKQoWCI9h9nDNR5Km75egnxZnCOdXBoLnbEVqaMSUKOr82i/Z8/kyvay0Y4g==

Question 4.29

jq07+PNKVDoLGdHG1XuRPPr2AA22AcV9Yp0fMhbizrV0w2+4YeUzWHjtj0lF8pCOXEfnIPEV49mPWZbabyOYal4V5qgze3NhOWPI7lcs4hEFFi/XQ3bHthsJyMByE+G7HDpB0APIBQunNTxcOvPMDY/wvK0kv9oIaHSRIaP+8JCh482TBsYop8bvHqXovHh1aqAvCyddnXBzZlcqwkiQhwb4SqWKYXbwMqzWx9tpiA04xTY50V2rEgH9yh8YifIbpIPjiXMJosgsIJhUnp2UQ+p0mi3mHv3Q1jzm7kAIoajPPacqi+Ng/o6p3iSYmpZ7EULCbQ==

68

Challenge Problems

Question 4.30

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

Question 4.31

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

Question 4.32

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

Question 4.33

gR+WUsF0G7iFONTED0VCHmOK5ZeFnvC2uCm/h1Bryc3QEFyE5YtyHNaTfdTBmBCgMeDr7+1ykP5LnTlSERkNunVgCiJiUYBVBMQ5KMwXMX/CL6/uixv0v6eF5S0G6Uv4pk2CbdhnS+T346Z7VMApKr2am+OnePxqt4eHwzJeQ+ejjoKU3IrhzDpszqnkBfNx3cpXO6ADg/JtRpTgo/pI0B/XVA1YVUAQ8mw+Dbv3vQa4+s+oFuFKBro/q2jhrQMuTju8114nSlKLuVyBD6c9tbhcPXa0EzL4Pcrfl7yVnklrRMaS3ZgjFBjYDEp8j7aMAbA85i7ssGO+Ki++p1HQY87pvcOiQA4mrLSR+A==

Question 4.34

q178bSOjeJGi6tnrVTqzBGsuTXlEVs/i6d6gq6dJNd2SR7lYEFZM9iDJstOPfVk34aYU4TwalcRq8izu0BABsqye4fI8QCb8e0dthLGcPLDgRJIoItUQUuupsHuBjCluyYJvTpAkMMTTfrgbGF+wE3ATXKJHyctMHA5R3UeUZD3to7ThN0uFREivhI1BRCwnhN6Uo1NrW7uI4fqQYIG/ZplWIxWjHycHyIjQay6Jm6zGS8pEP2p99uS20EZBD+vGNJpwrmmI2a2fe/rvhWhD8QtdPc+rVQeTjAOI5kqiojIHQLt/btAYekqT48Di+c20arIV4A0OEvgA7av9lPRdtj4klP9qpta+8gv++2SyaMXyS3d5B1MdgqrH5PamzAQypQsVl9cnKQnkzPGQIyrylk9Y9E0=

Question 4.35

TmOVFZVlWW10dPycZomT0qdwWNjNLwIHSTgao2QTH08l8dDt3rU2UIjuiGyn9o/eMXZJ8vJhhuPyZa7S8AJAy3A9WZNxCTmPRjApZ6XxI/MaAYNTqR4k0/rkNjgPyXjUArQLPjnp2FQJPCB7Hs1PRTRoh6enV+AsrdAMRBpAGsn7ribuXyd2/xgoWqNRo2eD3df1DAUbAw7SWPcUeqsvbuSOucS1fgAnNbIh7wc76mpHRyxm2/M5ww35mvIw8GR7GD2syvzaEy9/x6gfbx4I6B+v7atyEAHtkH0763JWwsXk5QdiWcrHUtJSilPza4UcgsgH6gNeBbWO85M2MSV1wg==

Question 4.36

YT8N04wM4oYCW5k5GW+0diauqPisktQ1OISjcChSa3XLWaH6fs8t65VTrIF3PlW6koCNIxDKadmoF5LNkg1vRxrvicgtPSexAo2G3Y3VVfYPqehRBRA3Oq2PuyGvEPD2DmiloXJpSUfnmEtaRCOVoLUINLuA2CF1SSUBMq336vxwwBb+7EJf3GSohHaaytvakmiaYUSQQBny9jbutTKEWbdTShObrjCmMvpClVy/kTQHPIMOrB1gGYUEZ+FZWWx2wIMsn8pg2Y+sVW89DDtWRfCRXZxSldnztBY1E+Ooq+9bjCJw5iVruiwSfpVU7IAeW/E7H/1y8pRCPjpX4r+HU4Kw8rL2VGTfFb5o+SgqiaUcrjxT6uOr+k6kgGdCmXxPcscfyJux75tDdQb+HCkQxN+p+IVJbt7XwtrP/EBeY9FpxEXVdmFREeL/fUopGua5YLvRI6on6jIPZsmRlgU8td5L9hX9c/hh01hOaA==

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