Question: Consider the function f(z) = 41-2, and the number I = 1 = f(x f(x) dz. Here we explore the accuracy of three standard

Consider the function f(z) = 41-2, and the number I = 1

Consider the function f(z) = 41-2, and the number I = 1 = f(x f(x) dz. Here we explore the accuracy of three standard approximations for I, namely, i. R30 (f), the Riemann-sum approximation with 30 subintervals and right-endpoint evaluations, il. To(f), the Trapezoidal-rule approximation with 30 subintervals, and iii. S30(f), the Simpson's-rule approximation for I with 30 subintervals. Using computer assistance as appropriate, calculate the exact values for I and the three approximations above. Then subtract to reveal the error in the approximations... I = I-R30(f) = I-T30(f) = I-San(f)=

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