Determine the domain and range of the function.

A. domain: (-?, ?); range: (0, 4)
B. domain: (-?, ?); range: [0, 4]
C. domain: [0, 4]; range: (-?, ?)
D. domain: (0, 4); range: (-?, ?)


Answer: B

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = x ln (y - x)

A.  =  =  ;   =  =  
B.  =  = - ;   =  =  
C.  =  = - ;   =  = - 
D.  =  = - ;   =  =  

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Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = i + 4j,w = -3i + 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

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Sketch the graph of the quadratic function.f(x) = 1 - (x - 1)2 

A.

B.

C.

D.

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Answer the question.The table shows the number of pupils per teacher in selected states.For which states are the values not less than 16.7?

A. Texas, Wyoming, Maine, Missouri B. Alaska, Texas, Wyoming, Maine, Missouri C. Alaska, California, Idaho D. California, Idaho

Mathematics