Write a system of inequalities whose solution set is the region shown.
A. y ? -2
y ? -x2 + 4
B. x ? -2
y ? -x2 + 4
C. y ? 2
y ? x2 + 4
D. y ? -2
y ? -x2 + 4
Answer: A
Mathematics
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Evaluate the integral.
A.
B. 4e16
C. e4
D.
Mathematics
Find the absolute maxima and minima of the function on the given domain. on the trapezoidal region with vertices
and
A. Absolute maximum: 18 at absolute minimum: 9 at
B. Absolute maximum: 12 at absolute minimum: 0 at
C. Absolute maximum: 15 at absolute minimum: 9 at
D. Absolute maximum: 15 at absolute minimum: 0 at
Mathematics
Determine whether the improper integral converges or diverges.
A. Diverges B. Converges
Mathematics
Solve the problem.If f(?) = cos ? and f(a) = - , find the exact value of f(a) + f(a - 2?) + f(a + 4?).
A. -
B. -
C. -36
D. -12
Mathematics