3. Consider the function f (x) graphed below: yetiA -2 (a) Write a Riemann sum with n = 4 subdivisions approximating ", f (æ) dx using left hand sample points, then evaluate the sum. (b) Write a Riemann sum with n = 4 subdivisions approximating "2 f (x) dæ using right hand sample points, then evaluate the sum. (c) Write a Riemann sum with n = 4 subdivisions approximating ", f (x) dx using midpoint sample points, then evaluate the sum.

3. Consider the function f (x) graphed below: yetiA -2 (a) Write a Riemann sum with n = 4 subdivisions approximating ", f (æ) dx using left hand sample points, then evaluate the sum. (b) Write a Riemann sum with n = 4 subdivisions approximating "2 f (x) dæ using right hand sample points, then evaluate the sum. (c) Write a Riemann sum with n = 4 subdivisions approximating ", f (x) dx using midpoint sample points, then evaluate the sum.

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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Question

3. Consider the function f (x) graphed below:
yetiA
-2
(a) Write a Riemann sum with n = 4 subdivisions approximating ", f (æ) dx
using left hand sample points, then evaluate the sum.
(b) Write a Riemann sum with n = 4 subdivisions approximating "2 f (x) dæ
using right hand sample points, then evaluate the sum.
(c) Write a Riemann sum with n = 4 subdivisions approximating ", f (x) dx
using midpoint sample points, then evaluate the sum.

Expert Solution

Step 1

Consider the provided graph,

(a)

The Riemann sum with n = 4 using left hand sample points is given by,

Step 2

(b)

The Riemann sum with n = 4 using right hand sample points is given by,

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