7) Consider the function f (x) = 3x + 4 a. Compute M4 (Middle Reimann sum with 4 segments) for y = f (x) on the interval [2,5]. Be sure to clearly identify the value of Ax as well as the locations of Xox1, .., X4- Include a careful sketch of the function and the corresponding rectangles being used in the sum. b. Use a familiar geometric formula to determine the exact value of the area of the region bounded by y = f(x) and the x-axis on [2,5] c. Using full sentences, explain why the values you computed in a and b turn out to be the same. Will this be true if we use a number different than n = 4 and compute My ? Will L, or R, have the same value as the exact area of the region found in b? d. Describe the collection of functions g for which it will always be the case that Mn, regardless of the value of n, give the exact net signed area bounded between the function g and the x-axis on the interval [a, b]. 8) Suppose o f(x)dx = 5, So f(x)dx =6, ff(x)dx = 8 a. Find his f (x)dx b. Find , (5f(x) -6)dx c. Find figs (2f (x))dx