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Graphical Method
While drawing the graph on a natural scale, the independent variables are marked along the horizontal line and corresponding dependent variables are taken as ordinates. The points so plotted are joined by a smooth curve. For interpolation, the value of the independent variable is marked at the proper place on the X-axis and a line perpendicular to the X-axis is drawn from the point so marked to intersect the curve. Again by drawing a line perpendicular to the Y-axis from the point of intersection on the curve to meet the Y-axis, the value of the dependent variable is ascertained by reading off the value at the point of intersection with the Y-axis. The illustration given below demonstrates the use of this method.
Example
The population of a town is as follows:
Figure
Year
1941
1951
1961
1971
1981
1991
Population (in 000's)
24
30
40
54
78
104
Find the population for the years 1976 and 1978.
Marking points on the X-axis, for the years 1976 and 1978, and dropping perpendiculars, the population for the years can be interpolated as 65,000 and 70,000 respectively.
y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3y = 0 , y (4) = 1/8 , and y'(4) = -3/64 Solution : As we noticed in previous illustration the function is a solution an
Dinesh bought an article for Rs. 374, which included a discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price of the article.
What is Graphing Statistics explain ? The number of times that an event occurs is called its frequency. One of the ways that you can compare or display different frequencies is
f(x)=ex -3x
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
A national study found that treating people appropriately for high blood pressure decreased their overall mortality rate by 20%. Treating people adequately for hypertension has bee
find the domain of the function f(x) = (| sin inverse sin x | - cos inverse cos x) ^ 1/2
The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+
( 1/2)2 x 1/5+1/6=
Classify models based on the degree of their abstraction, and provide some examples of such models.
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