Suppose that the values of a smooth function f are known for x = -0.15,-0.1,0,0.1, 0.15...
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Suppose that the values of a smooth function f are known for x = -0.15,-0.1,0,0.1, 0.15 and 0.2. Given the following formulas for approximating f'(x) F') 11f(x) + 18f(x+h) – 9f(x+2h) + 2f(x + 3h) (M1) 6h L'm2f(x - h) – 3F(x) + 6f(x + h) – f(x + 2h) 6h (м2) f') f(x - 2h) – 6f(x – h) + 3f(x) + 2f(x + h) (м3) 6h f') -2f(x - 3h) + 9f(x – 2h) – 18f(x – ñ) + 11f(x) (M4) 6h Which one of the above formulas will best approximate f'(0.1)? M1 O M2 M3 O M4 Suppose that the values of a smooth function f are known for x = -0.15,-0.1,0,0.1, 0.15 and 0.2. Given the following formulas for approximating f'(x) F') 11f(x) + 18f(x+h) – 9f(x+2h) + 2f(x + 3h) (M1) 6h L'm2f(x - h) – 3F(x) + 6f(x + h) – f(x + 2h) 6h (м2) f') f(x - 2h) – 6f(x – h) + 3f(x) + 2f(x + h) (м3) 6h f') -2f(x - 3h) + 9f(x – 2h) – 18f(x – ñ) + 11f(x) (M4) 6h Which one of the above formulas will best approximate f'(0.1)? M1 O M2 M3 O M4
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