Business Calculus Quiz
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Let C′(t)C'(t) be the rate of growth of a company's profit, in millions of dollars per year. The function C′(t)C'(t) is known to be strictly increasing and concave up on the interval [0,5][0, 5]. Let I=∫05C′(t)dtI = \int_0^5 C'(t) dt be the actual total increase in profit over 5 years. Let LnL_n, RnR_n, and TnT_n be the left Riemann sum, right Riemann sum, and trapezoidal sum approximations of II with nn subintervals, respectively. Which of the following inequalities correctly orders these values?
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