A tank initially contains 60 gal of brine, in which 10 lb of salt is dissolved. Brine containing 2 lb of dissolved salt per gallon flows into the tank at the rate of 4 gal/min, and the well-stirred mixture flows out of the tank at the same rate. How much salt is present in the tank at the end of 10 min?
?
Round the answer to the nearest tenth, if necessary.
?
__________ lb
Fill in the blank(s) with the appropriate word(s).
63.5
Mathematics
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Evaluate the integral.
A. 813?3
B. 
?3
C. 
?3
D.
 ?3? |
Mathematics
Consider a function 
. If the graph of f is increasing, what can be said about the graph of 
?
?
A. The graph of is above the horizontal axis.
B. The graph of is below the horizontal axis.
C. The graph of lies on the horizontal axis.
D. The graph of is increasing.
Mathematics
Find the center of mass of the wire that lies along the curve r and has density ?.r(t) = (2 cos 3t)i +(2 sin 3t) j + 6tk, 0 ? t ? 2?; ?(x, y, z) = 2(1 + sin 3t cos 3t)
A. 
B. 
C. 
D. 
Mathematics
Divide. Express the quotient in lowest terms.
÷ 
A. 
B. 
C. 
D. 
Mathematics