R THIS QUESTION.
ers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.
main of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.
able[[t (hours),0,1,5,8,10],[G(t) (thousands of gallons),22,18.5,19.5,22,24]]
is measured in hours and 0<=t<=10. Values of G(t), in thousands of gallons, at selected times t are given in the table above. It is known that G''(t)>0 for 5<=t<10.
timate the rate of change of the amount of gasoline in the storage tank at time t=3 hours. Show the computations that lead to your answer. Indicate units of measure.
ee t at which G(t) is increasing at a rate of 0.2 thousand gallons per hour? Justify your answer.
which G(t) is increasing at a rate of 0.2 thousand gallons per hour? Justify your answer.
the locally linear approximation for G at time t=5 to approximate the amount of gasoline in the storage tank at time t=7. Is this approximation an overestimate or an undere
7 ? Give a reason for your answer.
t of the storage tank into trucks at time t can be modeled by the function R defined by R(t)=(100t)/(t^(2)+4), where t is measured in hours, and R(t) is measured in thousands of gallo ich gasoline flows out of the storage tank an absolute maximum? Justify your answer.
R THIS QUESTION
eorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work wil
rs (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point
main of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.
t (hours)
0
Gt(thousands of gallons2218.519.52224
a pipeline from a refinery. At the same time, gasoline flows from the tank into trucks that will make deliveries to gasoline stations. The amount of gasoline in the storage tank at time t is given by is measured in hours and 0t10.Values of Gt, in thousands of gallons,at selected times t are given in the table above. It is known that Gt>0 for 5t<10.
timate the rate of change of the amount of gasoline in the storage tank at time t 3 hours. Show the computations that lead to your answer. Indicate units of measure.
n
0 /
e t at which G(t) is increasing at a rate of 0.2 thousand gallons per hour? Justify your answer.
in
which Gt is increasing at a rate of 0.2 thousand gallons per hour Justify your answer.
the locally linear approximation for G at time t = 5 to approximate the amount of gasoline in the storage tank at time t = 7.Is this approximation an overestimate or an undere 7 ? Give a reason for your answer.
i
t of the storage tank into trucks at time t can be modeled by the function R defined by R (t)=0, where t is measured in hours, and R (t) is measured in thousands of gallc ich gasoline flows out of the storage tank an absolute maximum? Justify your answer.
