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
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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)
Indicate whether the statement is true always, sometimes, or never.A real number is a complex number.
A. Always B. Sometimes C. Never
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 ?
Based on the graph, determine the range of f.f(x) =
A. [0, ]
B. [0, ?)
C. [0, 4]
D. [0, 4)