The Map Project Part 4.doc - Introduction In this part of project we are evaluating the area volume of dirt and average elevation of the points that we

# The Map Project Part 4.doc - Introduction In this part of...

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Introduction In this part of project, we are evaluating the area, volume of dirt, and average elevation of the points that we have previously selected in our project. In order to find the area below from one point to another, we use indefinite integral and definite integral. Indefinite integral is the opposite of derivatives, the degree of function becomes bigger as to smaller in derivatives of the original function. The indefinite integral doesn’t provide you with area, however, it only gives you the function. We use definite integral to find the area, which is to plug in the distance into the indefinite integral function. ∫ f(x)dx = F(x) ∫ = F(b) – F(a) = area; a is the starting point of the line; b is the ending point of the line. By using this function, we can easily find the area below the line of distance.
Piecewise function for A(x) .0190353867x 2 - .6133526137x + 53.44611511 .1 ≤ x < 47 (1) 60.06101939(1.002216961) x 47≤ x <95 (2) A(x)= 56698.74303x -1.475707031 95≤ x < 173 (3) 1.180637442 E 17x -6. 9681296 173≤ x < 185 (4) -.08833x + 36.406856 185 ≤ x 237 (5) .0063451289x 3 - .3066763069x 2 + 53.44611511x + c .1 ≤ x < 47 (1) 27121.61887 (1.002216961) x + c 47≤ x <95 (2) ∫ A(x) -119188.3646x -.475707031 + c 95≤ x < 173 (3) -1.97823694 E 16x -5.9681296 + c 173≤ x < 185 (4) -.044165x 2 + 36.406856x + c 185 ≤ x 237 (5)

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