3 Estimate the minimum number of subintervals to approximate the value of | (4x +6) dx with an error of magnitude less than 5x 10-* using -3 a. the error estimate formula for the Trapezoidal Rule. b. the error estimate formula for Simpson's Rule.

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Q: a) Use the Trapezoidal Rule, with n=5 to approximate the integral ∫109cos(4x)dx  T5=    (b) The…

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Q: 2 Estimate the minimum number of subintervals to approximate the value of| (4x² + 4) dx with an…

A: We will solve both these parts using basics of numerical analysis.

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Q: 2. Given y =-x³ - 6x2 +15x, find inf lection point s, the relative extrema, int ervals where the…

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.