23f08HW-Answers-I

23f08HW-Answers-I - Mathematics 23 Calculus III Fall 2008 Some Answers I 12.1 8 3 3 5 6 12(x 2)2(y 6)2(z 4)2 = 25 Circle in the xy-plane of radius

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Mathematics 23 Calculus III Fall 2008 Some Answers I 12.1: 8. 3 , 3 5 , 6. 12. ( x - 2) 2 + ( y + 6) 2 + ( z - 4) 2 = 25; Circle in the xy -plane of radius 3 centered at (2 , - 6 , 0), circle in the yz -plane of radius 21 centered at (0 , - 6 , 4), no intersection with xz -plane. 16. ( - 4 , 3 , - 1) , 3. 32. All points outside the sphere of radius 1 centered at (0 , 0 , 1). 36. z 0 ,x 2 + y 2 + z 2 4. 12.2: 10. h- 2 , 5 i . 14. h 3 , 6 i . 18. 5 i - j , 11 i - 4 j , 17 , 3 2. 22. h- 2 / 3 , 1 / 3 , 2 / 3 i . 24. h- 6 , 2 6 , 6 i . 28. 28 . 7lb,12 . 4 . 30. N70 E. 12.3: 8. - 2, 12. 1 / 2 , 0. 18. arccos(4 / 5) 37 . 22. arccos( - 3 / 102) , arccos(20 / 102) - arccos( - 3 / 102) - arccos(20 / 102). 26. 0 , ± 2. 38. - 37 / 7 , h 74 / 49 , - 111 / 49 , 222 / 49 i . 12.4: 2. h 10 , - 8 , 2 i . 20. h 1 / 6 , 1 / 6 , - 2 / 6 i , h- 1 / 6 , - 1 / 6 , 2 / 6 i . 28. 265. 30.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/20/2008 for the course MATH 23 taught by Professor Yukich during the Spring '06 term at Lehigh University .

Ask a homework question - tutors are online