Find the extreme values of the function and where they occur.y = 

A. Absolute minimum value is 0 at x = 1. Absolute maximum value is 0 at x = -1.
B. Absolute minimum value is 0 at x = 0.
C. Absolute maximum value is 0 at x = 0.
D. Absolute minimum value is -  at x = -1. Absolute maximum value is at x = 1.


Answer: D

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y, z) = ln (xy)z

A.  = -  = -  = ln (xy)
B.  =  =  = ln (xy)
C.  =  =  = z ln (xy)z-1
D.  = z ln  = zln = ln (xy)

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Indicate whether the statement is true always, sometimes, or never.A real number is a complex number.

A. Always B. Sometimes C. Never

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Write the sum or difference as a product containing only sines and/or cosines.sin(6?) - sin(4?)

A. -2 sin ? cos(5?) B. 2 sin(5?) cos ? C. 2 sin ? cos(5?) D. -2 sin(5?) cos ?

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Based on the graph, determine the range of f.f(x) = 

A. [0, ]
B. [0, ?)
C. [0, 4]
D. [0, 4)

Mathematics