Mathematics

Mathematics

Problem

Function pp is continuous, increasing, and concave down on [1,4][1,4]. Four equal-width approximations to ∫14p(x) dx\displaystyle \int_1^4 p(x)\,dx are computed: LL (left endpoints), RR (right endpoints), MM (midpoints), and TT (trapezoidal rule). Which of the following lists these four approximations in order from least to greatest? a) L<M<T<RL < M < T < R b) R<M<T<LR < M < T < L c) L<T<M<RL < T < M < R d) T<L<R<MT < L < R < M

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