2. Let I = f(x) dx, where f is the function whose graph is shown. Rank...

Transcribed Image Text:

2. Let I = f(x) dx, where f is the function whose graph is shown. Rank the values I, L30, R30, T30, and M30 in increasing order. Justify your answer. 0.8 0.6 0.4 0.2 01 a b 3. Let I = f(x) dx, where f is positive, decreasing, and concave down over the interval [a, b]. Indicate whether for all n ≥ 1, the statement must be true, cannot be true, or may be true. Justify your answers. a. T ≤I b. Ln Rn c. Rn ≤ Mn 2. Let I = f(x) dx, where f is the function whose graph is shown. Rank the values I, L30, R30, T30, and M30 in increasing order. Justify your answer. 0.8 0.6 0.4 0.2 01 a b 3. Let I = f(x) dx, where f is positive, decreasing, and concave down over the interval [a, b]. Indicate whether for all n ≥ 1, the statement must be true, cannot be true, or may be true. Justify your answers. a. T ≤I b. Ln Rn c. Rn ≤ Mn