t= hours 0 1 3 4 7 8 9
l(t) people 120 156 176 126 150 80 0
concert tickets went on sale at noon (t=0)
and were sold out within 9 hours. the number of people waiting in line to purchase tickets at time t is modeled by a twice-differentiable function L for 0< = 0 < = 9. values of L(t) at various times t are shown in the table above.
a) Use the data in the table to estimate the rate at which the number of people waiting in line was changing at 5:30 p.m. (t=5.5). Show the computations that lead to your answer. indicate units of measure
b) Use trapezoidal sum with three subintervals to estimate the average number of people waiting in line during the first 4 hours that tickets were on sale.
c) For 0< = t < = 9, what is the fewest number of times at which L'(t) must equal 0? give a reason for your answer
d) The rate at which tickets were sold for 0< = t< = 9 is modeled by r(t)= 550te^(-t/2) tickets per hour. Based on the model, how many tickets were sold by 3 p.m. (t=3) to the nearest whole number?
t= hours 0 1 3 4 7 8 9
l(t) people 120 156 176 126 150 80 0
concert tickets went on sale at noon (t=0)
and were sold out within 9 hours. the number of people waiting in line to purchase tickets at time t is modeled by a twice-differentiable function L for 0< = 0 < = 9. values of L(t) at various times t are shown in the table above.
a) Use the data in the table to estimate the rate at which the number of people waiting in line was changing at 5:30 p.m. (t=5.5). Show the computations that lead to your answer. indicate units of measure
b) Use trapezoidal sum with three subintervals to estimate the average number of people waiting in line during the first 4 hours that tickets were on sale.
c) For 0< = t < = 9, what is the fewest number of times at which L'(t) must equal 0? give a reason for your answer
d) The rate at which tickets were sold for 0< = t< = 9 is modeled by r(t)= 550te^(-t/2) tickets per hour. Based on the model, how many tickets were sold by 3 p.m. (t=3) to the nearest whole number?
3 answers
nice...this is from the ap test.. i didn't know how to do it either :/
HAHAH!
i need help on this one too :(
i need help on this one too :(
1 answer