5. For the following set of functions, find the area bounded above by f(x) and below by g(x) onthe given interval.f(x) = 3-- 1/₁ 8(x) = -√2₁ x1√x'2₁ x € [1,4]

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Answered: 5. For the following set of functions,…

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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The function f(x) = -8x+24 is defined on the interval [0, 3]. Complete parts (a) through (f) below. (a) Graph f. Choose the correct graph below. OA. OB. Q (b) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into three subintervals of equal length and choosing u as the left endpoint of each subinterval. O C. (Type an integer or decimal rounded to two decimal places as needed.) (c) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into three subintervals of equal length and choosing u as the right endpoint of each subinterval. 0 (Type an integer or decimal rounded to two decimal places as needed.) Q (Type an integer or decimal rounded to two decimal places as needed.) (d) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into six subintervals of equal length and choosing u as the left endpoint of each subinterval. (Type an integer or decimal rounded to two decimal places as needed.) (f) What is the actual area A? (e) Approximate the area…
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5. For the following set of functions, find the area bounded above by f(x) and below by g(x) on the given interval. 3-1/² g(x) √x² f(x) = 3- = 1 x² x € [1,4]