Perform the indicated operations and simplify the result. Leave the answer in factored form.
A.
B.
C.
D.
Answer: B
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Evaluate the double integral over the given region. R: 3 ? x ? 7, 3 ? y ? 7
A. 800
B. 400
C.
D.
Solve the problem.What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a?
A. f(a) exists, the limit of as
from the left exists, and the limit of
as
from the right exists.
B. The limit of as
from the left exists, the limit of
as
from the right exists, and at least one of these limits is the same as f(a).
C. The limit of as
from the left exists, the limit of
as
from the right exists, and these two limits are the same.
D. Either the limit of as
from the left exists or the limit of
as
from the right exists
Solve.Approximate to the nearest hundredth the volume of a sphere with a radius of 4.5 centimeters. Use 3.14 for ?.
A. 3052.08 cu cm B. 84.78 cu cm C. 214.6 cu cm D. 381.51 cu cm
Solve and graph. Write the result in interval notation.f - 8 ? 3
A. [11, ?)
B. (-?, 11)
C. (11, ?)
D. (-?, 11]