a. Suppose that the function c(x) = 200+ 100e-0.1x models the density of traffic on a straight road, measured in cars per mile, where x is number of miles east of a major interchange, and consider the definite integral (200 + 100e-0.1x) dx. i. What are the units on the product c(x). Ax? ii. What are the units on the definite integral and its Riemann sum approxi- mation given by [²0(x) dx = {c{x}^x? Σc(x;)Ax? i=1 iii. Evaluate the definite integral ² c(x) dx = ² (200 + 100e-0.1x) dx and write one sentence to explain the meaning of the value you find.

a. Suppose that the function c(x) = 200+ 100e-0.1x models the density of traffic on a straight road, measured in cars per mile, where x is number of miles east of a major interchange, and consider the definite integral (200 + 100e-0.1x) dx. i. What are the units on the product c(x). Ax? ii. What are the units on the definite integral and its Riemann sum approxi- mation given by [²0(x) dx = {c{x}^x? Σc(x;)Ax? i=1 iii. Evaluate the definite integral ² c(x) dx = ² (200 + 100e-0.1x) dx and write one sentence to explain the meaning of the value you find.

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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