The left right Trapezoidal and Midpoint Rule approximations were used to estimate 2 f z dz where f is the function whose graph

Question

The left right Trapezoidal and Midpoint Rule approximations were used to estimate 2 f z dz where f is the function whose graph is shown below The estimates were 0 78 0 8675 0 8632 and 0 9540 and the same number of subintervals were used in each case a Which rule produced which estimate 0 7811 1 Trapezoidal Rule estimate 2 Right hand estimate 0 7811 3 Left hand estimate 0 8675 0 8632 4 Midpoint Rule estimate 0 9540 Derween which two approximations does the true value of 2 f x dx lie A 0 8632 f x dx 0 8675 B 0 8675 f x dx 0 9540 c 0 7811 f x dx 0 8632 D No conclusions can be drawn YA 1 y f x

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