Solve the equation by completing the square.x2 + 4x - 7 = 0
A. {-2 - 2
, -2 + 2
}
B. {-1 - 
, -1 + 
}
C. {2 + 
}
D. {-2 - 
, -2 + 
}
Answer: D
Mathematics
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Find k such that the function is a probability density function over the given interval.f(x) = kx3, 0 ? x ? 2
A. 
B. 
C. 
D. 
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Use the Comparison Test to determine whether the improper integral converges or diverges.
dx
A. converges B. diverges
Mathematics
Change the order of integration and evaluate the integral.
A. 
B. 
C. 
?
D. 
?
Mathematics
A manufacturer of doors, windows, and cabinets writes her yearly profit (in thousands of dollars) for each category in a vector as: 
Her fixed costs of production can be described by the vector: 
What would her income be if increasing it threefold would cause her profit to be five times as large? (Round to the nearest thousand dollars.)
What will be an ideal response?
Mathematics