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)
Answer: B
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Which of the following does not utilize the commutative property (there may be more than one property used)? ?
A.
?5(x + 4) = 5x + 5(4) = 5x + 4(5)
B.
?
C.
?a + (b + c) = (a + b) + c
D.
?a + (b + c) = (b + a) + c
E.
?None of the above.
Solve the problem.Amy is making a cubic cardboard box and intends it to be 10 in. long on each side. She can't find her ruler, so the errors in her measurements can be up to 10%. Express the possible volume of the box V as an inequality and graph the values of V. 
V = volume in cu. in.
A. 900 ? V ? 1100
V = volume in cu. in.
B. 1000 ? V ? 1331
V = volume in cu. in.
C. 1000 ? V ? 1100
V = volume in cu. in.
D. 729 ? V ? 1331
V = volume in cu. in.
Use a calculator to find the function value to four decimal places.cos 
A. 0.9964 B. 0.9898 C. -0.0909 D. 0.1423
Solve the problem.The price per unit of a product is p and the number of units of the product is denoted by q. The demand function for this commodity is given by p = 
. Describe the transformations needed to obtain the graph of this function from the graph of p = 
.
A. Shift up 60 units and stretch vertically by a factor of 4000. B. Shift 60 units to the left and stretch vertically by a factor of 4000. C. Shift 60 units to the right and stretch vertically by a factor of 4000. D. Shift 60 units to the left and shift up 4000 units.