Obtain the second-order Taylor polynomial, p2(x), generated by y(x) 3x4+1 about x = 2. iii) (b)...

 

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Obtain the second-order Taylor polynomial, p2(x), generated by y(x) 3x4+1 about x = 2. iii) (b) Verify that y(2) = P2(2), y' (2) = p₂ (2) and y' (2) = pź (2). (c) Evaluate p2(1.8) and y(1.8). ii) A function, y(x), has y(0) = 3, y'(0) = 1, y" (0) = -1 and y(³) (0) = 2. = (a) Obtain a third-order Taylor polynomial, p3(x), generated by y(x) about x = 0. (b) Estimate y(0.2). Calculate 5th order Taylor polynomials generated by f(x) = sin(x) and g(x) = cos(x) about x = 0. Obtain the second-order Taylor polynomial, p2(x), generated by y(x) 3x4+1 about x = 2. iii) (b) Verify that y(2) = P2(2), y' (2) = p₂ (2) and y' (2) = pź (2). (c) Evaluate p2(1.8) and y(1.8). ii) A function, y(x), has y(0) = 3, y'(0) = 1, y" (0) = -1 and y(³) (0) = 2. = (a) Obtain a third-order Taylor polynomial, p3(x), generated by y(x) about x = 0. (b) Estimate y(0.2). Calculate 5th order Taylor polynomials generated by f(x) = sin(x) and g(x) = cos(x) about x = 0.