Example 13.1 Let P; Q R be three points in the plane not lying on a line. Then (13.1) PQ ~ + QR RP = 0: From figure 13.3, we see that the vector RP ~is the same line segment as PQ + QR, but points in the opposite direction. Thus RP ~ = (PQ + QR). Figure 13.3 P Q R PQ˜ RP˜ QR˜ Example 13.2 Using vectors, show that if two triangles have corresponding sides parallel, that the Oct 19, 2010 · For example, they use statistics and probability to interpret tests results. When a patient is treated for an illness, the probability is used to determine which type of treatment to use, if any. Hany Farid’s Math Kids website has an excellent example of how doctors who don’t understand statistics could make a wrong diagnosis. Many of our electrical home appliances use electromagnetism as a basic principle of working. If we take an example of an electric fan, the motor works on the principle of electromagnetic induction. Do you know that a kind of electromagnetic radiation have the potential to kill cancer cells? Read here to know about the electromagnetism and its uses in everyday life. Know about the uses from ... Applications of Integration 9.1 Area between ves cur We have seen how integration can be used to find an area between a curve and the x-axis. With very little change we can find some areas between curves; indeed, the area between a curve and the x-axis may be interpreted as the area between the curve and a second “curve” with equation y = 0.
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Slope is a measure of steepness. Some real life examples of slope include: in building roads one must figure out how steep the road will be; skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc; when constructing wheelchair ramps, slope is a major consideration
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random phenomena of life. But it also helps you realize the limitations of probability and why probabilities can take you only so far. In this chapter, you observe the impact of probability on your everyday life and some of the ways people come up with probabilities. You also find out that with probability, situations aren’t always what they ... Applying Newton’s Second Law with Math Examples. An example of this being applied in real life would be a person who was trying to push their car after it ran out of gas. You would have to find the force that would be needed to push the car to the nearest gas station.
Examples are the use of interpolation in developing numerical integration methods and root-finding methods. There is widespread use of the language and results of linear algebra , real analysis , and functional analysis (with its simplifying notation of norms, vector spaces , and operators).
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