PROBLEMS

Question 6.1

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Question 6.2

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Question 6.3

CK/NwUECNCTJrcMCBuAcy1Q5G0IXUWbBpXmpdfKa8YPVIy5mfP/UmGcxL64+Ui598gH1wJiqfNcqNx16fPGZb1tVhDHkf0rBl9z+9DxtDsw=

Question 6.4

eynEI2UDmBSX9t+Kec16sIXW2PuP/8EpHhSMXWS2y69lkrRICWKVDp/qqCiNW5+fEoRgqrbRovMKfLq7bolQSqFiIL5gdRheBjs19g==

Question 6.5

xajYiFEF10rGkoStLKGmlEaR7OF237S8F22I8v9z43PGr8Zzw2DICr2NE8FAFN7p/H/TIIzIFLOZAN5c1avg0hhB7ek=

Question 6.6

RVRucmChOy6cdS7CZJU6gSCkffD6ToW1ajqQjlxcF+4qZ8EpyGbgMkl0/Da5wBLzabrttHQP/9kUMmuLCo2OGtGTWXeRgxegUm2zJ8e0j55sqye2xW3egyOn4xGcUCPKZAnuwZ17wMfXJTv5sYM7hg0iog59hCy7mofsFJKekFqullfU8c1iQmHz6n5Sg56I2fI0H5mc+J6tsZF5Fj8f61JB8jZ/BqzLPifUmg==

Question 6.7

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Question 6.8

EonnP3lWQod1b0eW1ACOYhHCy0xkW5i053uWNXn7aF31sPxwGL7vhRT2F/YiDqi3WXKqua+gEGxkDum9YOnJhzLAwmH14Jcp9I/eF9mr+oGe0UN5bqXQdq4VROjtewHoA7dO+GzPpHQTduKP5xek5O8F2SN62joQ+QXyfJ0mDCwyvSbz

Question 6.9

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Question 6.10

3MR3rYCJ3o9kPZgdHWZHDOPFm1kxJeNkJxmDohvg4oHfS3RV+D1XBSEmMa0ZeErmZX+/DyiRJETl3EhXvudOmIC+3LsY3I2yUmZyzkRq93ExLfFW+e+jTPtFfeT8TcQ/F1Ij7XQrzdzVz43sO+gPl/MEi1ArxqraJ/fS2mOkP2HbCatdvH9tCx7VHBFsjUWRodNqslARbpA5uU3sbCOZCNKtI3+AjyZ5bGQplaeRdm4eLFo4R+5yUxCRqAWuiJmTBs/Chw==

Question 6.11

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

108

Question 6.12

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Question 6.13

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

Question 6.14

dZyafo3nHQNVRbGc/fGWkxAkcsS3PCuC/8cvkyteyo0evj3Ji4furLU2JtAfHS68+IE5IzRlF1rzl5TCmezt/ycBHMgYv5YlyAJeVsJEdoARSDMc+AKYmBBf3W1/Sbz0q4Ww6JvEkPT5v9XxRIyz8bQiZTq4PjXUhLPSuF3uzajf2HfuRRZIPEe5POcI7Bqijt6PRnXVVm9V7VUQI481qz63Z0FxdhP0xD08ayJHoxhvb1l71rZx9JilcKkqeZbYHdCR6SZjCFIdvsAu/DciXa2bGvy9H48N/KCN54AuO14E35/s74N7xt495Vk2niL9x2O9k4lLNan7AqdJ

Question 6.15

NqYe67cHbvTy2pmSi/MYag5HnXuXhOKr8gt9hgWS+uOxwwOnc8F9jEMbokiOtUqrwOWoAgb0wBAc8fKJ8xggqDHqsLBNpGBwek1k92D3SLeUJr6YGY8DGcGEdNMsepQX00s6gL/hMvz1/uDOqNaVoiCsoDlcIoAt2w3LPg==

Question 6.16

dnAgc/CNvWvWt7pbxKR1CmGoNsPCx6wxJud1eN1MWWbGPzOzopaXIHliHj97OdK8E1X+0qAk6llHVnje48HEY6mfrbRNoBTUqkydSGLEOxL/1W6oT9OnN3ngLHYP02sZRXFPcwmxPWqIvKaMT8IFufe/6U3tBtgBBvxHs5RfzyKIbbsR85j+eHnXArQJJGQy218H1bA0B4zNau/foq9XLLBcjj4ZKbuTSFclGoBAQCTyuOo64mtwRjjxkggyvX4+AkAZzlWcNuxQ7LNn75yTtECM7919FsL8ssTRYZFeBHz5DXvkpnd69ICcJ5WvmnLt4mA9up1IgVQN/HzhTHCN3qv0CN10TVtXPkzXetZseHKAKQ1iD8qTeQy6V9A=

Question 6.17

jbTibHX2pcwVFCEUmlN+5zNgXRD8KPj5qnpWqDpm885iGuorakEDM0+ct7yhkB4YdQWL2WzXHuXRqk7KBPEynbqd7Ul+0YM3ige/JHN9pZK0HB8l6Ic/8RDR5CvrdVk+cG2Ke6DJodjUEn4OMKRDnoXF+5a6VK3VWAUAhWDo5dIvD1pxnOhfGjEVGNwVnzB8rZNzddVP7GYVATfzzAMEBb+t/VuYhDMq7/91g24ZFMu9WquvZbKUmfAfUbXMVHoaUNWvkleNu2z9xAy6th0ItSf8aQRcxRjB8YqabAsbq4CuAqBz7p2WxxbRlmPZ5XhNhCJIFGZ1Z2gwOmwsPmAAkba03SMeXG8Cy9k+h1maggWnmowE+6Kdbgm7rGDX/qgg6cEsMii3QuK7xoSYRJngOlBgMMisYGnuj4kf/xgkysux99a6

Question 6.18

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

Question 6.19

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

Question 6.20

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Question 6.21

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

Challenge Problems

Question 6.22

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

Question 6.23

wbhU47wDvlnktClRSj4BugCs9wCGvUXUpkrE3zv0v49UErjDidUtN5LbchFs5DUUMXgHBsHWZlGp1pbIV44oQIk/vJte6dKoCP7booDX6ljCpg65uisqwPcb/4uAb9bQr0kYpIhSlld2+COaaM76h1BbT/8uSDWjXzoDVxNuqwj6yb83qyuLm6R2QRtB/Fr6nURkX4GXzqkYvh0JNOOMAUx6DhAZp5ymFBG4wmzzgPmAbTT2rMfj8TAvV3sObjptVG1uPvmWSOHgF3BEHkWRfLdSyl7+xQm4f5GxT2Coa/zBnJFHMPXr2QP90CCo/ZPsvVvEOrU8vJJUErRkw62BgU5e2txMx6GymNsQrjWmGOB6G4Qin30bOLmTKh3KvhCma4gN7yUdbfm/u5b599uZ0aQgIuAtP3ofFXH8RxWxuexbbAJp018HJ03ETas+PU4vf0UsctTC4CY=

Question 6.24

lVNmUF1/Q5dOC/l7ddez/lKoauatKFiZjV8g153kV+8Xo8OgeDtlhALeO32EA54GlV1dY2mZfnEjsIzXaCw8NzLj5/5tmhAeg0r4GcTWO6VJZ+noVrT8iKXN8XG3h0zV5t1fp4UlBt7AuJheE9+cWaUiNjMfPxwKr3HGADo+tidBObWe3rq9J9+f6KDXG0Ia7+hiYwIuUDZKChj1FLi6ldHfC6u3U/BMIHMBYw6/5fFwKxahL3/PdrwB14VSFj214SlJYGwcQ9hz/ocPHDBH0uaC18JKyF7C24sj515+Bot5Wcb1FOyk2fKj0AlWiiCG4mvU3b2fFafg6HalFcS+zB/N6nagQfqvCJa+3z7PdyJ1YiTrTSqpSulULZJokSwHPhFLr2gHmojEjNnF7gx7h18B4upvH0bdWF4++BxLAl6LvgAJVaQpec0J16K8gBBfIm46EZSjNWepPhuWfd3zppqsrcIixh3peiAxGgvMZ/qJHtgQoYraVxG9vMCQjRn6S35EFufm62cGeX04/qR9UlSQybarXlcs3hbs5aK4wsCjCJEyM6vwDDVdjYzy3/wZJkC8zKEMz2J0Ld6l4UW1SfQYqH/rXsXKbRBQ2gTAxJx3K150dUZOnJoiOPVO/0li6nzrqZ3yKY31UX5OFZhcX1MQnR4oxqcL2wDje/P7pblsqOJ6XNqnpWERINKRe4L2QcGXkywVhzS8mE9J57OV1mLIqQF2FvYjq0rTNtML1zGEMCeCbCsOXgjP1XvR8HdlaeSC0w0PEW9sfOea8QqOHTDG1eCcRETlbyjlLXBjzynOvhu2Yj/X8KHCdxd2IFMj6A5gV6paB80zpzlg0/KV/EhyL2m3b7mS0edNT3QGE5tkjmB69U61qPHTa8DJBSNKxgeVfUEu1bOWB1GpDkyX3/NEl5N5+NlGlf4Rkg5Woh3kN0+/Z+mkv4Fo2HiZo/O7oJ73SGRJNn59ems6zGgmNzZDy7/f6u8og1wmoZ9TTKlqRRUp+etb3UcBjsScpov29To313RxxzxbrIq8Zho4mr7l/hIf7B5/V4Aj+NObm0AqBr09DovIp7k/0Zen/CTofvuYCOpoOvgXLjWcA8TeeSLd/SGK11dP1n8lOeLx2kEmgvAhff5L6g==

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

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