Assume that x, y, and a are positive numbers. Use the properties of logarithms to write the expression 
in terms of the logarithms of x and y.
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Mathematics
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Use Lagrange multipliers to find the maximum and minimum values of the function f( x,y,z) = 5x - y - 5z subject to the constraints x + 2y - z = 0 and x² + 4y² = 1.
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Mathematics
Write interval notation for the graph.
A. (3, 7) B. [3, 7] C. (3, 7] D. [3, 7)
Mathematics
Find the vertices and foci for the ellipse. : 4x² + 9y² = 36
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Mathematics
Provide an appropriate response.The only consecutive whole numbers that are both prime numbers are 
and 
.
A. 2 and 3 B. 1 and 2 C. 0 and 1 D. 6 and 7
Mathematics