Consider the function f x 4 1 2 and the number I I Here we...
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Calculus
Consider the function f x 4 1 2 and the number I I 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 T30 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 R30 f I T 30 f 1 1 I S f f x dx FEEL
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