(i)Use the Midpoint Rule with 4 strips to approximate

  • June 25, 2021

(i)Use the Midpoint Rule with 4 strips to approximate5 e-dr Call the appraximation Ma. (ii)Use the Trapezoidal Rule with 4 strips to approximate e-dr Call the approcimation T4. (ii) Use Simpson’s Rule with 8 strips to apprascimate e-dr Call the approximation.1 Compare Ss with the weighted sum(4+24). What do you notice?b)(i) Given that-2+4i is complex root of the cubic polynomial3+4x-80 determine the other two roots (without using a calculator). (ii) Hence, (and without using a calculator) determine12x+56×3+4x-80 dr. (Hint: Use the result of part (a)to writex3+4x-80=(x-a)(x2+bx+c) for some a, b and c, and use partial fract ions.)

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