Worksheet 6.1 - Integral As Net Change - Calculus Maximus (Page 8 of 9) in pdf

Worksheet 6.1 - Integral As Net Change - Calculus Maximus Page 8

Calculus Maximus

WS 6.1: Integral as Net Change

11. AP 2008-2

t  ) and were sold out within 9 hours. The number of people

Concert tickets went on sale at noon (

  .

waiting in line to purchase tickets at time t is modeled by a twice-differentiable function L for 0

 

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

t 

changing at 5:30 P.M. (

5.5

). Show the computations that lead to your answer. Indicate units of

measure.

(b) Use a 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.

 

L t  must equal 0? Give a reason for

  , what is the fewest number of times at which

your answer.

 



 



/ 2

(d) The rate at which tickets were sold for 0

is modeled by

r t

550

tickets per hour.

t  ), to the nearest whole number.

Based on the model, how many tickets were sold by 3 P.M. (

Page 8 of 9

Worksheet 6.1 - Integral As Net Change - Calculus Maximus Page 8