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Page 1: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 2: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 3: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 4: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 5: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 6: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 7: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 8: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 9: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 10: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 11: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 12: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 13: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 14: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 15: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 16: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 17: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 18: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 19: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 20: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 21: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 22: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 23: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 24: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 25: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 26: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 27: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 28: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 29: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 30: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 31: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 32: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 33: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 34: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 35: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 36: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 37: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 38: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 39: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 40: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 41: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 42: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 43: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 44: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 45: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 46: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 47: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 48: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 49: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 50: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 51: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 52: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 53: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 54: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 55: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 56: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 57: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 58: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 59: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 60: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 61: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 62: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 63: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 64: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 65: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 66: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 67: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 68: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 69: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 70: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 71: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 72: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 73: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 74: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 75: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 76: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 77: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 78: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 79: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 80: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 81: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 82: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,
Page 83: Units 5-8 - efpub.spd.louisville.eduefpub.spd.louisville.edu/classes/201/docs/ENGR201-Unit-07.pdf · annular regions as shown in the text. Let R be the region enclosed by C with M,