Question

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Q15 Given S. 1. dx. (a) Find S4. Find the Simpson's Approximation using n = 4. (b) Find Esl. (c) Find n such that|EST < .00001

Answer 1

247 olx a) To find Simpsons Approximation using hat The Simpsons rule states that son alx - Ax (f(x) + 4 f (0) + 2 f(x) + 4 ſl 5g) + 2 flogle. - 20%-95 +4f0%-1) + $0,7 whers for = 6-9 we have that a=0 bal, n=4 in DXF 170 - 1 Divide the interval [o, indo nat Stibintervals of Length Boat, with following chas points a=0, 1, 3, 1=b dow) = f(a) = f(a) = 1=1 & f(x) = 48 = f(1) = 11 = 3.2 2 f(3) = 38()= = 1:33 4 (3) : 4 13 - 4 = 2.285 1 f(x) = (A) = f(1) = 1 = o.s. finals, sum up the abome values and muldibly by a 1 - (+ 3. 2 + | 33 33 + 2 283 + ) NOW - 0.6933 11

6 If 4 (50) ILM ficou at Esl= m(b-aja 18044 = 24 (1-0) 180x44 24 Box 256 fles et ta şi "ble) = * ) of(x) = -6 - 0.000 52. PLAJA f(x) = 24 (41)s € 24