4. Taylor method of order three is given by Yi+1 = Y; +hT(³) (t₁, Y;), where T(³) (t₁, Y;) = f (t¡‚ Yi) + h h² (ti, Yi) + / / f '(t₁, Y) + h ¯¯ ƒ' 3! f " (ti, Yi) Write out this method's formula when it is applied to the IVP: y' = -y + sin t. (The formula expression should have no f, f', or f", it should only involves t, h and y. Do not carry out the actual calculations)

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Q: 1. ('88 BC) The length of the curve y = x³ from x = 0 to x=2 is given by 2 2 A) [√₁ + x ²dx (B) √ √…

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