Mathematics

Bailee Madden

11 July, 11:47

Let function f (x), its first derivative, and its secondderivative all be positive on a closed interval [a, b]. Theinterval [a, b] is partitioned into n equal length sub-intervals andthese are used to compute an Upper Sum, U, a lower sum, L, and theTrapezoidal Rule approximation, T. If I = ∫ (a→b) f (x) dx, which statement below is true?

A) L < U < T < I

B) L < U < I < T

C) L < T < I < U

D) L < I < T < U

E) L < I < U < T