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For any a ony 1 RIGHT (₂ m)-f(x)d₂] ≤ / (bud) ² max [1/(20) d > ohy f: [dsb] → IR and ony n ≥ 1 (iv) | SIMP (fin) - ] f(xidz | ≤ (6-0)5 max 1(80) (x)) 1 180n4 XElaby where RIGHT(fin) is the right hand Riemann sun with n equal intervale and SIMP (fin) is approximation of Ĵ f(x) Using Simpson's rule n equal intervals with aj. Suppose that b). show that some f is a 3rd degree polynomial, f(x) = α3x²³ +d² dix+do. Argue that for any nod and be SIMP (fin) = f(x) dx is not true for d Right (fen); RIGHT (En) + " [f(oxida

For any a ony 1 RIGHT (₂ m)-f(x)d₂] ≤ / (bud) ² max [1/(20) d > ohy f: [dsb] → IR and ony n ≥ 1 (iv) | SIMP (fin) - ] f(xidz | ≤ (6-0)5 max 1(80) (x)) 1 180n4 XElaby where RIGHT(fin) is the right hand Riemann sun with n equal intervale and SIMP (fin) is approximation of Ĵ f(x) Using Simpson's rule n equal intervals with aj. Suppose that b). show that some f is a 3rd degree polynomial, f(x) = α3x²³ +d² dix+do. Argue that for any nod and be SIMP (fin) = f(x) dx is not true for d Right (fen); RIGHT (En) + " [f(oxida

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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For any d a <b, ony f: [dsb] → IR and ony n>1 RIGHT (f. bo | SIMP (fin) - f(x)dz | ≤ (6-4)³5 max 1(V) (2)) 18014 KE[a b]! where RIGHT(fin) is the right hand Riemann sum with n equal intervale and SIMP(fon) is aflatoximation of f(x) Using Simpson's rule with n equal intervals $ a). Suppose that n)-f(x)dz) ≤ (b-d) ² max [f'(x) 1/1/201 1 nxE[db] d b). show that some f is a 3rd degree polynomial f(x) = d3x²³ + d² 2 dix+do. Argue that for any n,d and be SIMP (fin) = f(x) dx is not true for d Right (fon); RIGHT (fin) + "[ florida d
Transcribed Image Text:For any d a <b, ony f: [dsb] → IR and ony n>1 RIGHT (f. bo | SIMP (fin) - f(x)dz | ≤ (6-4)³5 max 1(V) (2)) 18014 KE[a b]! where RIGHT(fin) is the right hand Riemann sum with n equal intervale and SIMP(fon) is aflatoximation of f(x) Using Simpson's rule with n equal intervals $ a). Suppose that n)-f(x)dz) ≤ (b-d) ² max [f'(x) 1/1/201 1 nxE[db] d b). show that some f is a 3rd degree polynomial f(x) = d3x²³ + d² 2 dix+do. Argue that for any n,d and be SIMP (fin) = f(x) dx is not true for d Right (fon); RIGHT (fin) + "[ florida d
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