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* Determine the asymptotes of the curve.
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Determine and curve
Determine and .
Determine the ratio of 50% to the average per capita income of the U. S. ( Divide 50 by the result obtained in item 2 above.
Determine for each State ( except the Virgin Islands, Guam and Puerto Rico, and, prior to 1962, Alaska and Hawaii ) that percentage which bears the same ratio to 50% as the particular State's average per capita income bears to the average per capita income of the U. S..
Determine the ratio that the amount being allotted is to the sum of the products for all the States.
Determine if the particular State's unadjusted allotment ( result obtained in item 11 above ) is greater than its maximum allotment, and if so lower its unadjusted allotment to its maximum allotment.
Determine if the particular State's unadjusted allotment ( result obtained in item 11 above ) is less than its minimum ( base ) allotment, and if so raise its unadjusted allotment to its minimum allotment.
Determine for each State ( except the Virgin Islands, Guam, Puerto Rico, and, prior to 1962, Alaska and Hawaii ), that percentage which bears the same ration to 40% as the particular State's average per capita income bears to the average per capita income of the United States.
Determine how much topography limits useful area or what the costs of earth moving or grading might be.
3 ) Determine necessary soil parameters through field and lab testing ( e. g., consolidation test, triaxial shear test, vane shear test, standard penetration test );
asymptotes and curve
More generally, one curve is a curvilinear asymptote of another ( as opposed to a linear asymptote ) if the distance between the two curves tends to zero as they tend to infinity, although usually the term asymptote by itself is reserved for linear asymptotes.
Oblique asymptotes are diagonal lines so that the difference between the curve and the line approaches 0 as x tends to +∞ or −∞.
* draw a smooth curve through those points using the straight lines as asymptotes ( lines which the curve approaches ).
Also determine from which side the curve approaches the asymptotes and where the asymptotes intersect the curve.
asymptotes and .
For curves given by the graph of a function, horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to Vertical asymptotes are vertical lines near which the function grows without bound.
Asymptotes convey information about the behavior of curves in the large, and determining the asymptotes of a function is an important step in sketching its graph.
The study of asymptotes of functions, construed in a broad sense, forms a part of the subject of asymptotic analysis.
These can be computed using limits and classified into horizontal, vertical and oblique asymptotes depending on its orientation.
Vertical asymptotes are vertical lines ( perpendicular to the x-axis ) near which the function grows without bound.
Functions may lack horizontal asymptotes on either or both sides, or may have one horizontal asymptote that is the same in both directions.
A rational function has at most one horizontal asymptote or oblique ( slant ) asymptote, and possibly many vertical asymptotes.
The degree of the numerator and degree of the denominator determine whether or not there are any horizontal or oblique asymptotes.
There are therefore two asymptotes, whose intersection is at the center of symmetry of the hyperbola, which can be thought of as the mirror point about which each branch reflects to form the other branch.
The asymptotes of the hyperbola ( red curves ) are shown as blue dashed lines and intersect at the center of the hyperbola, C. The two focal points are labeled F < sub > 1 </ sub > and F < sub > 2 </ sub >, and the thin black line joining them is the transverse axis.
So the parameters are: a — distance from center C to either vertex b — length of a perpendicular segment from each vertex to the asymptotes c — distance from center C to either Focus point, F < sub > 1 </ sub > and F < sub > 2 </ sub >, and θ — angle formed by each asymptote with the transverse axis.
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