Determine whether the given function satisfies a Laplace equation.f(x, y, z) = 4x + 7y3z2
A. No
B. Yes
Answer: A
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Express the radical in simplest form, rationalize denominators, and perform the indicated operations.5
+ 2y
- 2
A. -22yy4
B. 22yy4
C. 22yy4
D. 22yy5
The price of a certain commodity in dollars per unit at time t (measured in weeks) is given by
?
.
?
What is the price of the commodity at 
?
?
$__________/unit
?
How fast is the price of the commodity changing at 
?
?
__________ (increasing / decreasing) at the rate of $__________/wk
?
Find the equilibrium price of the commodity. (Hint: It's given by 
. Also, use the fact that 
.)
?
$__________/unit
What will be an ideal response?
Answer the question.The points (0, 7), (3, 7), (5, -1), and (8, 2) are the vertices of a quadrilateral. Is the quadrilateral a rectangle?
A. Yes B. No
Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how many would contain the following cards?All four kings
A. 48 hands B. 1152 hands C. 192 hands D. 144 hands