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Example of Cartesian coordinate Graph:
Example: The temperature of water flowing in a high pressure line was measured at regular intervals. Plot the subsequent recorded data on a Cartesian coordinate graph.
Time (min) Temperature (°F)
0 400°
15 420°
30 440°
45 460°
60 480°
75 497°
90 497°
105 497°
120 497°
The first step is to label the x-axis and the y-axis. Let the y-axis be temperature in °F and x-axis is time in minutes.
The further step is to establish the units of measurement along each axis. The x-axis has range from 0 to 120, the y-axis from 400 to 500.
The points are then plotted one through one. Another figure shows the resulting Cartesian coordinate graph.
Figure: Cartesian coordinate Graph of Temperature vs. Time
If there are (2n+1)terms in an AP ,prove that the ratio of the sum of odd terms and the sum of even terms is (n+1):n Ans: Let a, d be the I term & Cd of the AP. ∴ ak =
-3x=-57
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answer sheet
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