Find the average value of the function f over the given region.f(x, y) = 
over the region bounded by 
, 
, 
, and 
.
A. 
ln 2
B. 72 ln 2
C. 
ln 2
D. ln 2
Answer: D
Mathematics
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A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows: 
What is the constraint for the finishing department?
A. 1A + 2B + 2C ? 38,000 B. 2A + 3B + 1C ? 28,000 C. 2A + 3B + 2C ? 30,000 D. 2A + 3B + 1C ? 28,000
Mathematics
Use the quadratic formula to find the roots of the equation. Find a decimal approximation to the nearest thousandth.3x2 + 8x + 1 = 0
A. x = -3.869, x = -1.465 B. x = -2.786, x = 0.12 C. x = -2.535, x = -0.131 D. x = -1.268, x = -0.066
Mathematics
Express the ratio in lowest terms.
A. 
B. 
C. 
D. 
E. 
Mathematics
Solve the following system by substitution.
A. 
B. 
C. 
D. 
Mathematics