A drug is carried into an organ of volume  cm3 by a liquid that enters the organ at the rate of a cm3/sec and leaves it at the rate of b cm3/sec. The concentration of the drug in the liquid entering the organ is c g/cm3. If the concentration of the drug in the organ at time  is increasing at the rate of

?



?g/cm3/sec, and the concentration of the drug in the organ initially is  g/cm3, show that the concentration of the drug in the organ at time is given by

?





What will be an ideal response?


.

Let , so that   and  .

Then .

Since , and 


Mathematics

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Find all rational zeros.f(x) = 12x3 + 49x2 + 3x - 4

A.
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C. {- 3, -4, -4}
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Solve.The number of students in a school in year n is estimated by the model. About how many students are in the school in each of the first three years?

A. 101, 135, 162 B. 114, 148, 196 C. 101, 135, 183 D. 108, 135, 183

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Find the quotient, and write in lowest terms, if necessary. ÷ 

A.
B. - 
C.
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A ball is thrown upward with initial velocity of 144 feet per second. How high will the ball go? (Recall that from physics, it is known that the velocity at time t is  feet per second.)Enter just an integer (no units).

Fill in the blank(s) with the appropriate word(s).

Mathematics