Construct a phase line. Identify signs of y' and y".y' = 
, y > 0
A. 
B.
 ? |
C.
D.
| ? |
Answer: B
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Provide an appropriate response.If one pulley is 8 inches bigger in diameter than another and they are connected by a belt, how big are the pulleys if the smaller pulley turns at 120 rpm and the larger turns at 40 rpm?
Fill in the blank(s) with the appropriate word(s).
Graph the polynomial function. f(x) = 4x2 - x3
A. 
B. 
C. 
D. 
Solve.To trim the edges of a rectangular table cloth, 30 feet of lace are needed. The length of the table cloth is exactly one-half its width. What are the dimensions of the table cloth?
A. length: 10 feet; width: 20 feet
B. length: 10 feet; width: 5 feet
C. length: 2
feet; width: 5 feet
D. length: 5 feet; width: 10 feet
A person's weight depends both on the daily rate of energy intake, say C calories per day, and the daily rate of energy consumption, typically between 12 and 20 calories per pound per day. Using an average value of 16 calories per pound per day, a person weighing w pounds uses 16w calories per day. If 
, then weight remains constant, and weight gain or loss occurs according to whether C is greater or less than 16w.To determine how fast a change in weight will occur, a plausible assumption is that dw/dt is proportional to the net excess (or deficit) 
in the number
of calories per day.Given that 3500 calories is equivalent to one pound, a differential equation to express this relationship is 
. Solve this differential equation.
A. w = C/16 - e-0.0046M e-0.0046t /16
B. w = C - e-0.0046M e-0.0046t
C. w = C/16 - e-0.0065M e-0.0065t /16
D. w = C - e-0.0065M e-0.0065t