Evaluate the double integral.

A.
B.
C.
D.


Answer: D

Mathematics

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Translate the problem to a system of equations, then solve using Cramer's Rule.Twice the water flow in the hot-water pipe is the same as three times the flow in the cold-water pipe. The combined flow is 1200 liters per hour. What is the flow in each pipe?

A. 600 liters/hr hot, 400 liters/hr cold B. 400 liters/hr hot, 600 liters/hr cold C. 720 liters/hr hot, 480 liters/hr cold D. 480 liters/hr hot, 720 liters/hr cold

Mathematics

Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = -3i + 5j,w = 2i + j

A. v1 = - i - jv2 = i + j
B. v1 = - i - jv2 = - i + j
C. v1 = - i - jv2 = - i + j
D. v1 = - i - jv2 = - i + j

Mathematics

Consider the language that consists of all strings of 0’s and 1’s in which the number of 1’s is evenly divisible by 4. Find a regular expression that defines this language.

What will be an ideal response?

Mathematics

Find the domain of the function.f(x) = log (x - 4)

A. x > 0 B. x > -4 C. x > 1 D. x > 4

Mathematics