Rewrite as a base to a power, if possible.
A. r2
B. r3
C. 
D. r
Answer: A
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Find all the first order partial derivatives for the following function.f(x,y,z) = xe(x2 + y2 + z2)
A. 
= (1 + 2x2) e(x2 + y2 + z2); 
= 2xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
B. 
= 2x2e(x2 + y2 + z2); 
= xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
C. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xe(x2 + y2 + z2); 
= xe(x2 + y2 + z2)
D. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xy2e(x2 + y2 + z2); 
= xz2e(x2 + y2 + z2)
Solve the problem.A water tank is formed by revolving the curve y = 3x4 about the y-axis. Water drains from the tank through a small hole in the bottom of the tank. At what constant rate does the water level, y, fall? (Use Torricelli's Law: dV/dt = -m
.)
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Simplify, and write the answer using only positive exponents. Assume all variables represent nonzero numbers.
A. x24y-3 B. x8y9 C. x6y-1 D. x2y9
Using gates, design a circuit for the conditional statement.
?
?
?
(a)
?
(b)
?
(c)
?
A. a
B. b
C. c