Solve the problem.The rate of growth of a population P is given by 
where N is a constant representing the net increase in population per unit time resulting from the difference between immigration and emigration. Solve to find P as a function of time if at time t = 0 the population is P0.
A. P = P0ekt - 
B. P = 
ekt - 
C. P = (P0 + N)ekt - N
D. P = 
ln kt - 
Answer: B
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Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = 2tan 
, x = 0, y = - 
A. 28? - 7?2
B. 28 - 7?
C. 7? + 7?2
D. 14? - 
?2
Solve the equation.-3x + 1 = x - 5
A. 
B. 
C. 
D. 
Provide an appropriate response.A television manufacturing company makes two types of TV's. The cost of producing x units of type A and y units of type B is given by the function C(x, y) = 120 + x3 + 8y3 - 24xy. How many units of type A and type B televisions should the company produce to minimize its cost?
Fill in the blank(s) with the appropriate word(s).
Provide an appropriate response.Which one of the following is a description of the graph of the solution set for the system below?x2 + y2 ? 36 4x2 + 9y2 ? 36
A. The area inside the ellipse (defined by the second equation) and outside the circle (defined by the first equation), including both borders. B. The area inside the ellipse (defined by the second equation), including the border. C. The area inside the circle (defined by the first equation) and outside the ellipse (defined by the second equation), including both borders. D. None of these