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Let f be the function defined by f (x) = cos(/x). OS sin() (c) It is known that f' (x) = cos() and f" (æ) = sin(a) Would a trapezoidal sum 4x approximation for | f(x) dx overestimate or •3 underestimate the value of f (x) dæ ? Give a reason for your answer. 3 (d) Write | f(x) dx as the limit of a right Riemann sum with n subintervals of equal length.

Let f be the function defined by f (x) = cos(/x). OS sin() (c) It is known that f' (x) = cos() and f" (æ) = sin(a) Would a trapezoidal sum 4x approximation for | f(x) dx overestimate or •3 underestimate the value of f (x) dæ ? Give a reason for your answer. 3 (d) Write | f(x) dx as the limit of a right Riemann sum with n subintervals of equal length.

Advanced Engineering Mathematics
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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Let f be the function defined by f (x) = cos(/x). (c) It is known that f' (x) sin(/a) and sin(T) cos(/7) f" (x) = Would a trapezoidal sum 4x 3 approximation for f (x) dx overestimate or 3 underestimate the value of | f(x) dx?Give a reason for your answer. 3 (d) Write f (x) dx as the limit of a right Riemann sum with n subintervals of equal length.
Transcribed Image Text:Let f be the function defined by f (x) = cos(/x). (c) It is known that f' (x) sin(/a) and sin(T) cos(/7) f" (x) = Would a trapezoidal sum 4x 3 approximation for f (x) dx overestimate or 3 underestimate the value of | f(x) dx?Give a reason for your answer. 3 (d) Write f (x) dx as the limit of a right Riemann sum with n subintervals of equal length.
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