Question

Function f(x) is positive, increasing and concave down 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

Answer 1

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Answer 2

hint: let f(x) be the function f(x) = (-1/x) + 5

the function is positive, increasing and concave down on the interval [1, 4]

Answer 3

Here's a sketch of an arbitrary function that satisfies the conditions: