Solve the inequality.
?
What will be an ideal response?
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Use the precise definition of a limit to prove the limit. Specify a relationship between ? and ? that guarantees the limit exists.
= 
A. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
= 
= ?. That is, for any ? > 0, 
< = ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
= 
.
B. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
= 
= ?. That is, for any ? > 0, 
= ? whenever 0 <
< ?, provided 0 < ? ? 
. Therefore, 
= 
.
C. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
< 
= ?. That is, for any ? > 0, 
< ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
= 
.
D. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
< 
= ?. That is, for any ? > 0, 
< ? whenever 0 < 
< ?, provided 0 < ? ?
. Therefore, 
= 
.
Solve the problem.Evaluate
where R is the interior of the ellipsoid 
. Hint: Let 
and then convert to spherical coordinates.
A. 90?2 B. 120? C. 120?2 D. 90?
Compute the value of the expression.
A. -9 B. -1 C. 8 D. 7 E. -12
Determine the intervals for which 
is entirely negative and entirely positive.
A. negative: 
positive: 
B. negative: 
positive: 
C. negative: 
positive: 
D. negative: 
positive: 
E. negative: 
positive: 