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Clervoyantyvonne
14.01.2021 •
Mathematics
(1, 7.6)(2, 7.2)(3, 6.8)(4, 6.4)(5, 6)(6, 5.6)
Is this a function?
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Ответ:
Step-by-step explanation:
Part A. Using five rectangles.
I will use the left end-point approximation.
1. Divide the interval [0,20] into five equal subintervals
Δx = (20 - 0)/5 = 4
The intervals are:
[0,4], [4,8], [8,12], [12,16], [16,20]
2. Evaluate the function at the left end-points and calculate the areas
Fig. 1 shows the graph with five rectangles.
Part B. Using 10 rectangles
1. Divide the interval [0,20] into 10 equal subintervals
Δx = (20 - 0)/10 = 2
The intervals are:
[0,2], [2,4], [4,6], [6,8], [8,10], [10,12], [12,14], [14,16], [16,18], [18,20]
2. Evaluate the function at the left end-points and calculate the areas
Fig. 2 shows the graph with 10 rectangles.
Part C. The limit as n ⟶ ∞
Integrate the function.