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Q. How to plot Line Graphs?
Ans.
Line graphs can be useful in analyzing data. They are particularly helpful when you are interpolating or extrapolating information from your data set.
Example: A start-up Internet company tracks the number of "hits" their website receives at different times in the day. Make a line graph of the information. Estimate the number of hits the website receives at 4:30pm, 9:30pm and 12:00am.
Solution: To draw a line graph of the above information, first decide on the axes. Let the x-axis be the time of day and the y-axis be the number of hits. Then draw dots at the proper places on your graph.
Estimating the number of hits the website received at 4:30pm and 8:30pm can be done using the line graph. Draw vertical lines at 4:30pm and 8:30pm and the points of intersection with the line graph represent the estimated number of hits at these times. You can estimate the number of hits at 12:00am by extending the graph another two hours. Use the previous few hours as a way to predict the future hits. All three of these estimates are shown with orange lines in the graph below.
The estimated numbers of hits are 300 at 4:30pm, 260 at 9:30pm and about 110 at 12:00am.
If roots of (x-p)(x-q) = c are a and b what will be the roots of (x-a)(x-b) = -c please explain. Solution) (x-p)(x-q)=c x2-(p+q)x-c=0 hence, a+b=p+q and a.b=pq-c
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If α, β are the zeros of the polynomial x 2 +8x +6 frame a Quadratic polynomial whose zeros are a) 1/α and 1/β b) 1+ β/α , 1+ α/β. Ans. P(x) = x 2 +8x +6 α + β = -8
a rectangular field with a path around it measures 120m by 50m.if the path is 1m wide all around,(a)find the length of the outer edge of the path.(b)find the area of the path
1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4). (b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local min
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examples
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