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2-111.

The sum of the areas for the right-endpoint rectangles of the function

*A*(*x*) =using 6 rectangles on the interval 1 ≤ *x ≤*4 is (0.5)[(2 + 2.236 + … + 3)] = 7.579. Homework Help ✎What does 0.5 represent?

Let

*b*(*x*) = 2 +*A*(*x*). Use what you know to find the sum of the areas of the 6 right-endpoint rectangles of*b*(*x*) on 1 ≤*x*≤ 4.Find the sum of the 6 right-endpoint rectangles for

*c*(*x*) = 1000 +*A*(*x*) for 1 ≤*x*≤ 4.

Width

The 2 in the express 2 + A(*x*) raises the function up 2. So the total area is increased by 6 because the base was 3.

Since the whole graph is raised up 1000 and the base is still 3, how much more area would the new function have than A(*x*)?