Find an equation of largest sphere with center(5,4,9) that is contained in the first octant.

Such a sphere can have a radius of up to 4, so that its equation would be

Any larger radius would make the sphere cross the plane and it would no longer be contained in the first octant.

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

if x = 1, then the answer is 3.5