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Function f(x) is positive, increasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 e...Asked by Alice
Function f(x) is positive, decreasing and concave up on the closed interval
[a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule approximations for the value of integral from a to b f(x)dx. Which one of the following statements is true?
a) Left sum < trapezoidal rule value < Right sum
b) Left sum < Right sum < trapezoidal rule value
c) Right sum <trapezoidal rule value < left sum
d) Cannot be determined without the x-values for the partitions
[a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule approximations for the value of integral from a to b f(x)dx. Which one of the following statements is true?
a) Left sum < trapezoidal rule value < Right sum
b) Left sum < Right sum < trapezoidal rule value
c) Right sum <trapezoidal rule value < left sum
d) Cannot be determined without the x-values for the partitions
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