PROBLEMS
Question
19.1
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Question
19.2
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Question
19.3
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Question
19.4
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
Question
19.5
u/msNqAnUk55+hpTUYRCgoHrxnmu5/kFq/f7Lp5PGnL6nVSQ8OImBuwqvEF0WWDwYM6r4xcaxlgwyjxgCd2i4/nLZMrWSsIrCokAH8Jpo2ozPxZ4wZ2DOUOVeI89KWUdie+klBVA86IDEVRwHQJWJEZG0PHEdKAm8+blkE4bp0VMLr9u8kurVMXkVYFJu5IQ08vXWjmxc/Ioi6D+eShgaXckQ2nZsmxLYiypM0N3TOoAOaddzXMTOPeYP/SOmXqanfIA5qE1G+TLFKxlV6vXZA/SPZTWtGpXOFRiPv/z8rU=
Question
19.6
SDFXP1/4MKObEPcDmsd9DDZFgFtuieopOnokwGYS8oo45C5dcy/a/MHlN6uI8BZ1onew6ilqCKm3cvpKs5y5/XB9510tIcF9PxGn0j57M7pbMdUfWdbrvkPnTOLLmh1pq7ETY/r7+6NWfVXyHdR+bv7/d4yNPOVbTCRg9U0DsbReHgRiQR9xnUFITn5Mp2MevWXN/lKRGbWOjG+0
Question
19.7
Wg3R5bsC6rWbi/i0+aaFWc2axFR92hcyTUypJe7JvqnmJNYNI6LtP6oA0epJXr6gCZiXtJSD2yKsdP6P25zOQ88rgvYxU6kYP3IrWQD9o1qfLamaveCXOVBxA1wuJx7X3Q+VTrd8HE1F5bKDezkWUCRf2iYG3ke8Bv6b+vaEy6UNtLQYx2ySmQbx+BLUUrsRYJmQd2ckqC5jJGjZwsEYsvf/5ekqdFRr4tjV20C9PVppIF1gUZvJBYwVex8Jt8O4Kc5HsHvUltME7XJdWnu+yumK6bMCb7e0yLW/fmBdn4tD+0M49gsvezvmtLa5ZEShDd1DmcjQxwm8s2ZxY4JVNV4QmWKGBjwbXuit5HC2vLShe2bEb445Q0C0N82y+ThhCDJFNgCOBRK6xHulXYmKy7eSbKZOmqtlHqLGmPBiFg43GrH3MYl0fOe2ZnbKYYRGXHQ684X3RznUFajcxjcBDg==
Question
19.8
I2vwnpteasPbtik9kdPAusFiu1RrMMo4WQRY3AsobxgR+xScZs4JDaCSZ9HwIkMYAiTmYauVy2K2m2QdnfXiCyKEM8mLu6BU84NB9nUhNCwfuQrYATzu4G8UDPvu8GbywNAI5MxS5LCCihh9hXSegmfSNFKK5a3JFwaaa8N/WBHp7GPhgqpfvM9Mcs5luXK1StJW1hgPNjridLZjjsZUIx4rl0s+EtZt+zSVhvKT2sHL0+CaBkEuM/gNYujeAzLiTJ/TVwGXt2U=
Question
19.9
F9DRhMPo5aFO+4aqPADTrsrquGMi8+z7nXisvDOfkTWKKTh1y7DbZH0uEHrymVGmRmYUmtVTlHc/PN0/1msiYRTVHPQ9Mmhm7X3OtOu5JQd2EgEuDGxzUk/3DjXBkGmea6j8QosQuLDW/FlypP1833a31aTZqWz/W5viU+S8sUVNcO6AlWmM3rmPEaT9rh6I3yVZBF70UL8/Kdq1WrezUTUazOz/Ktsy5nttyyzRxbb3bZPhmCrYMSBAv7N2RhZhlZqFedBVShlCkixZYkLVql3l/CWoHCcpM1wRbg73sGzeVKfDxvytLQ==
Question
19.10
OHnLxD5P4derIYUnD77xrzvvwYTCx7o/wNzPri9zmuHbUobmnHvuQPArF7RtoVRWFKFnIORWal7uxKCJYQqsM343DWi2Jy+14FhCBvNThYJU8vOfR6SVwwsr7+oJkSWK9bKBu631Rx430Ak3b3dLORh/WpabD5d3n1CxRTLiYF2FuT8qvH2ozvIikYLSIRekjY9YAVTDmGJKomVUkhE1gRs7yTdVkyjNm7I3qQbxaVqpPZc5xkAq7CPeMO5oKuefCJrC/6Lo4IR3zCkPUi6oVa5/K/LRWQCs0dSsQigmro8xHJHhYqn7fqoyMc7jhpLgJ4FspCM3qj+iuEWQPNRGQrl8A1aprR0Gfl0Ilcy2spF8aztBwoxRCwfTrThNKQKUDxJtgnSFX+F6sRU94cFHxzamtVXxzIdjBneT9VAtDKS0Fo2jtXbmSA==
Question
19.11
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Question
19.12
gM44OLE3hQ0YH/hOJ27w4gMcUV/t+FSguKxIGk+kPIHRovN/rorjWhXdcHMi4ImuiiHqm8RUWuwI3Im5qmCr6OO45QNF1zz+4EWEjaZRKnctTytwTcCEgzIYWOLPZZWpHLBl9+MUJvoLCPy/Oa9cRU9aH0wGcqwg0bE1IKT9GOOkppq5JIKK2eA9Wiba/yic15d+K6aAECFCkGlfhi/31mLXCGE=
Question
19.13
oxJ8Q/g3GsA7mN4JBfTdgOiLYLJF2tFax9i29Zmmii8TubxyPx7S9r9d7efBm/lu+FBEky0AxtBXfMvuZbXspDmHJ/mgEJGBoAepIh8kOU/ewIYksS7YKJHFk8Q4rSu4oeP1rpFSikiHp+Kw4pRPgflRoLSgbOoCqjMUu8rhSHqITtQ6mWYys8RANOQ8MSWT98saJULB5K8TDSKsbNimBZJMENYCjMk5
Question
19.14
ZjeVuaJu9LFzqIeIRVgIsdLpcg6aQfcIEDKywWrx7zlY3g2BczEvWNgWpMvhdyqP/kOP+0t24gfQgLkVMSQ3lmnBHway9ffBrVaD1PcRoKGkAaiHRULoq1qsrMs2L8o+AISB6PW3Am9Xq4n378JeT4zz+sA1Gp1BXo4QTTAWz1PwSS31j4oJ+/V/yvtwrXbkK0AaTqsH4+0=
Question
19.15
pnTHbqWmLWIKx0J3BmIMnEL0Vz9EgweBSr2xTdxLRPSUXz6rgJPuNXq/KjOALBSCumAXReleD/zMgTpTUQQPlTyIotV6lUtqRjjCeMX+M6Ny8gFD6bTTP18bJS9P5OHlcMoBEQ==
Chapter Integration Problem
Question
19.16
xRLlcxGJCv0ZNQQss5FhYOwWGlQsni+BsjYc0WQI+dgJbaj4rt/UX52bNurSt9zIKjx5GHrjChU4to9xHnNZ8NCpMpvd6rZuYtWEfeFyAr1w6R8ZfEQ3J7FoLOrxp3S5AAWFT8RKTyd5fWFzDPzXkvwIpfYnlKdnkgTk1/63hY894l1o
Question
19.17
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
Question
19.18
7DhkTlEurhYWeTThcVqTMTIOHAHfTJg456EjrZBgLTK3bsI2r5aclVHQvikaeLoYhCFJkzwnsEsXPDfRmzaceMYn+LxNl2wtoWKxjhCB3isDTAB65Qh6IljRuj9A91mEKM/PAXp7nsFB7Xlxqkmh2fgU8uC8k14ftrTbJOgLwc1RMQM7zTw4O59ydexR+tAQ6g2mbyiTOx9rL64ll3Ks4OlW7T8=
Mechanism Problems
Question
19.19
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
Question
19.20
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
Challenge Problems
Question
19.24
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
Question
19.25
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
Question
19.26
+0pGrE1ZkSLLC69K8VehbQrMTQUBtw73ea3OsOXbauU3XFjhRQJHjXdUTbCgd/LHKQFXo8W/AiabHoI52uNJs70pmTCmeA+5xfEPvf140zAEAgNIN6eYFIc4/1skIu4RNOLCWPSzBtVGYTQvGxB67SofmNM2RuxDggaCSOC75Zkc0D+nBWpSwdXbMw2JTTHxzbNio5ko0GgpkOCNL7WrYbJzm/cPwJJt/XPEHAHWuTDK05gbbm59b4DH8soUA+MoBhRRtyBzFi1zihNLp7SAhkwW3+P9ZkNPOaMuqS40MU+uZjeY3sUiqatFsPxgadjCIJ2nx0OBLPUMULxkExlHAdoQ1DmL5UdBixUGWQbMCWOIsaeS+kJRxwMR0J5NzgGxa9A5hzZoHPSxaeUoGbHDCA==
Question
19.27
D7pI3McZy3hVOS/OBlhufoAtE3ufjXIN9C5ETNRd5JrnduutbTt+lfx8jRJ3E13uLDoJPT19Rt+cqecgiQSFLYpj5h7BtCzlx1QsDks+ltOLhNJwJ+imnU3KXsXTh1lhIIw3DoWiQNoirwjsD6o+7eHNRlg4gwQE2RVLh3Ip2FZjp2gGp1OxdkzSa5Q=
Question
19.28
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Selected Readings for this chapter can be found online at www.whfreeman.com/tymoczko3e.