Provide an appropriate response.Use the formal definitions of limits to prove 
= ?
What will be an ideal response?
Given B > 0, we want to find ? > 0 such that x0 < x < x0 + ? implies 
> B.
Now, 
> B if and only if x < 
.
We know x0 = 0. Thus, choosing ? = 3/B (or any smaller positive number), we see that
x < ? implies 
> 
? B.
Therefore, by definition 
= ?
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Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region.
over the rectangular solid 
, 
, 
A. - 3840
B. - 
C. - 1280
D. - 640
Find the indicted product and simplify if possible.The area of annulus (washer) is given by 
.
A. 
B. 
C. 
+ 
D. 
Use identities to find the exact value of the function for the given value.cos ? = 
and ? is in quadrant IV; Find sin ?.
A. 
B. 
C. 
D. - 
Find the difference quotient of g.g(x) = - 
x3 + 6x
A. 
x2 - 
xh + 
h2 + 6
B. - 
x2 - 
xh - 
h2 + 6
C. - 
x2 - 
xh + 6h2
D. - 
x2 - 
xh - 
h2 - 6