s9 11 12(hours)2L(t)(cars per hour)15402468181. The rate at which cars enter a parking lot is modeled by E(t) = 30 + 5(t – 2)(t – 5)e-0.21 The rate atwhich cars leave the parking lot is modeled by the differentiable function L. Selected values of L(t) are givenin the table above. Both E(t) and L(t) are measured in cars per hour, and time t is measured in hours after5 A.M. (f = 0). Both functions are defined for 0 < t < 12.(a) What is the rate of change of E(t) at time t = 7 ? Indicate units of measure.(b) How many cars enter the parking lot from time t = 0 to time t = 12 ? Give your answer to the nenearestwhole number.(c) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate12L(1) dt. Using correct units, explain the meaning of ," L(t) dt in the context of this problem.(d) For 0 st< 6, 5 dollars are collected from each car entering the parking lot. For 6 sts 12, 8 dollars arecollected from each car entering the parking lot. How many dollars are collected from the cars entering theparking lot from time t = 0 to time t = 12 ? Give your answer to the nearest whole dollar.

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Description: s9 11 12(hours)2L(t)(cars per hour)15402468181. The rate at which cars enter a parking lot is modeled by E(t) = 30 + 5(t – 2)(t – 5)e-0.21 The rate atwhich cars leave the parking lot is modeled by the differentiable function L. Selected values of L(

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(hours) 2 5 9. 11 12 L(t) (cars per hour) 15 40 24 68 18 1. The rate at which cars enter a parking lot is modeled by E(t) = 30 + 5(t – 2)(t – 5)e-021. The rate at which cars leave the parking lot is modeled by the differentiable function L. Selected values of L(t) are given in the table above. Both E(t) and L(t) are measured in cars per hour, and time t is measured in hours after 5 A.M. (t = 0). Both functions are defined for 0 sts 12. (a) What is the rate of change of E(t) at time t = 7 ? Indicate units of measure. (b) How many cars enter the parking lot from time t = 0 to time t = 12 ? Give your answer to the nearest whole number. (c) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate 12 L(t) dt. Using correct units, explain the meaning of L(t) dt in the context of this problem.

(hours) 2 5 9. 11 12 L(t) (cars per hour) 15 40 24 68 18 1. The rate at which cars enter a parking lot is modeled by E(t) = 30 + 5(t – 2)(t – 5)e-021. The rate at which cars leave the parking lot is modeled by the differentiable function L. Selected values of L(t) are given in the table above. Both E(t) and L(t) are measured in cars per hour, and time t is measured in hours after 5 A.M. (t = 0). Both functions are defined for 0 sts 12. (a) What is the rate of change of E(t) at time t = 7 ? Indicate units of measure. (b) How many cars enter the parking lot from time t = 0 to time t = 12 ? Give your answer to the nearest whole number. (c) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate 12 L(t) dt. Using correct units, explain the meaning of L(t) dt in the context of this problem.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Topic Video

Question

s9 11 12
(hours)
2
L(t)
(cars per hour)
15
40
24
68
18
1. The rate at which cars enter a parking lot is modeled by E(t) = 30 + 5(t – 2)(t – 5)e-0.21 The rate at
which cars leave the parking lot is modeled by the differentiable function L. Selected values of L(t) are given
in the table above. Both E(t) and L(t) are measured in cars per hour, and time t is measured in hours after
5 A.M. (f = 0). Both functions are defined for 0 < t < 12.
(a) What is the rate of change of E(t) at time t = 7 ? Indicate units of measure.
(b) How many cars enter the parking lot from time t = 0 to time t = 12 ? Give your answer to the ne
nearest
whole number.
(c) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate
12
L(1) dt. Using correct units, explain the meaning of ," L(t) dt in the context of this problem.
(d) For 0 st< 6, 5 dollars are collected from each car entering the parking lot. For 6 sts 12, 8 dollars are
collected from each car entering the parking lot. How many dollars are collected from the cars entering the
parking lot from time t = 0 to time t = 12 ? Give your answer to the nearest whole dollar.

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2 5 9 11 12 (hours) L (t) 15 40 24 68 18 (cars per hour) The rate at which cars enter a parking lot is modeled by E (t) values of L (t) are given in the table above. Both E (t) and L (t) are meassured in cars per hour, and time t is measured in hours after 5 A.M. (t = 0). Both functions are defined for 0 < t< 12. 30 + 5 (t – 2) (t – 5) e-0:2t. The rate at which cars leave the parking lot is modeled by the differentiable function L. Selected (a) What is the rate of change of E(t) at time t = 7? Indicate units of measure. 183 (b) How many cars enter the parking lot from time t = 0 to time t = 12 ? Give your answer to the nearest whole number. %3D 12 12 (c) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate L (t) dt. Using correct units, explain the meaning of | L (t) dt in the context of this problem. (d) For 0