Math 208 Test 1 Practice Questions with Verified
Correct Answers
A certain area must sustain a maximum population of 100 ferrets. The rate of growth of a
population of ferrets in this area is proportional to the product of the population and the
difference between the actual population and the maximum sustainable population (model
with an equation)
1.1 #3
The rate of decay of a certain substance is inversely proportional to the amount of
substance remaining (model with an equation)
1.1 #5
The thermometer is placed in a glass of ice water and allowed to cool for an extended
period of time. the thermometer is removed from the ice water and placed in a room having
temperature 77 F. The rate at which the thermometer warms is proportional to the
difference in the room temperature and the temperature of the thermometer. (model with
an equation)
1.1 #7
The voltage drop across an inductor is proportional to the rate at which the current is
changing with respect to time. (model with an equation)
1.1 #11
sketch f(x) = ln(1+x) at x0 = 0 and its linearization (L(x) = f(x0) + f'(x0)(x-x0)) at the given
point x0 on the same set of coordinates
Correct Answers
A certain area must sustain a maximum population of 100 ferrets. The rate of growth of a
population of ferrets in this area is proportional to the product of the population and the
difference between the actual population and the maximum sustainable population (model
with an equation)
1.1 #3
The rate of decay of a certain substance is inversely proportional to the amount of
substance remaining (model with an equation)
1.1 #5
The thermometer is placed in a glass of ice water and allowed to cool for an extended
period of time. the thermometer is removed from the ice water and placed in a room having
temperature 77 F. The rate at which the thermometer warms is proportional to the
difference in the room temperature and the temperature of the thermometer. (model with
an equation)
1.1 #7
The voltage drop across an inductor is proportional to the rate at which the current is
changing with respect to time. (model with an equation)
1.1 #11
sketch f(x) = ln(1+x) at x0 = 0 and its linearization (L(x) = f(x0) + f'(x0)(x-x0)) at the given
point x0 on the same set of coordinates
