Solve the inequality. Express your answer using interval notation.0 < 
< 
A. (
, ?)
B. (- ?, 
)
C. (
, ?)
D. (-?, 
)
Answer: C
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Use natural logarithms to solve the exponential equation. If necessary, round to the nearest thousandth.43x = 7x + 1
A. 0.879 B. 2.404 C. 1.404 D. -3.477
Find all the second order partial derivatives of the given function.f(x, y) = xye-y2
A. 
= 0; 
= 2xye-y2(2y2 - 3); 
= 
= e-y2(1 - 2y2)
B. 
= ye-y2; 
= 2xye-y2(y2 - 1); 
= 
= e-y2(1 - y2)
C. 
= ye-y2; 
= 2xye-y2(2y2 - 6); 
= 
= e-y2(1 - 2y2)
D. 
= 0 ; 
= 2xye-y2(2y2 - 3); 
= 
= e-y2(1 - y2)
Solve the problem.Three islands have a total area of 5180 mi2. Island A is 3247 mi2 larger than island B, and island B is 167 mi2 larger than island C. What is the area of each island?
A. A: 3947 mi2; B: 867 mi2; C: 533 mi2 B. A: 4114 mi2; B: 867 mi2; C: 523 mi2 C. A: 4114 mi2; B: 700 mi2; C: 523 mi2 D. A: 3947 mi2; B: 700 mi2; C: 533 mi2
The following graph shows the populations of the metropolitan areas of City X and City Y over six years. 
At the time when the populations of the two metropolitan areas were equal, what was the approximate population of each area?
A. about 0.95 million B. about 0.87 million C. about 0.92 million D. about 1.03 million