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I know that tangent line to a curve is too important as it has ample application in different areas such as velocity, rate of change. But I don't really know the importance of normal lines except they taught as by defining them using tangent lines.

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Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. What is the importance of normal line to a curve? Ask Question. Asked 2 years, 5 months ago. Active 2 years, 5 months ago. Viewed times. Suppose you take a point on the curve. This says nothing but curve passes from that point, which tells nothing about 'behaviour' of the curve.

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Horizontal Tangent Lines & Equation of Normal Line - Parallel & Perpendicular - Find K - Derivatives

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Question feed. Mathematics Stack Exchange works best with JavaScript enabled.All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.

Hottest Questions. Previously Viewed. Unanswered Questions. Math and Arithmetic. What is a real life application of a tangent function? Wiki User There are no real life applications of reciprocal functions.

Asked in Trigonometry What is one tangent equal to?

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Tangent is a function that can have any real value. Asked in Algebra, Geometry What is a real life application of the power function?

### Equations of Tangents and Normals To a Curve – 01

Application of definitApplication of definite Integral in the real life. Quadratic functions are used to describe free fall.

Asked in Math and Arithmetic, Earthquakes What is a real life application of a constant function? The constant Pi is used to find the perimeter of a circle which is known as the circumference. Asked in Math and Arithmetic What is inverse tangent? Or90 degrees. It is also known as "arc tangent", and spreadsheets, such as Excel, use "atan" for this function.

Asked in Math and Arithmetic, Engineering What is the real life application of isometric drawing? In real life application, isometric drawing is used in the design of the video games. Asked in Geometry What is the application of analytic geometry in real life?

In a right angled triangle, it is the ratio of the lengths of the side opposite to the angle and the side adjacent to the angle. Of course, this definition restricts the function to 0, 90 degrees whereas the tangent function is defined for all real numbers. What are the Applications of definite integrals in the real life? Rational function can be used in real life in modeling multi-person work problems.

How about an employee record Your age is a linear function of time. Asked in Engineering, Digestive System Is poop a real life miracle?You can also work out all the sides and angles in any triangle using the sine rule. Examples of one triangle dissected into two right-angled triangles.

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However, the amount of people whose knowledge of trigonometry stops there surprises me. To many people, sin, cos and tan are just buttons on a calculator. The nature of simply plugging in values and receiving an irrational number is somewhat menial, particularly if you have little of an idea of what is happening. Sadly, this is what a lot of people have experienced to be trigonometry.

First, you must understand that each of these functions has its own graph. These graphs act as a reference every time you use a trigonometric function. The answer may be a surprise to some people, considering that the trigonometric experiences of many focus around triangles. In fact, all of the trigonometric functions are created from circles. The sine graph is created by plotting the angle of the radius of a circle against the y-coordinate. The cosine graph is created in exactly the same way, except the angle is plotted against the x-coordinate.

Sine is the horizontal graph, cosine is the vertical one. Tangent, however, is a different story. It is called tangent because the graph is created by drawing a circle adjacent to the y-axis, so that the axis is a tangent to the circle, and then plotting the points where the extended radius of the circle would touch the tangent.

Once again, this is much more easily explained visually. The characteristic that sets the tangent graph apart the most is that it includes asymptotes. An asymptote is the singularity on a graph that cannot possibly contain any values.

On either side however, lines become exponentially closer to it but never actually touch it. If you were to scroll up and try to find the point of intersection between the tangent and the radius, you would be scrolling for a very long time; there is no point of intersection, hence why there are no values exactly on the asymptotes.In this chapter we will take a look at a several applications of partial derivatives.

Most of the applications will be extensions to applications to ordinary derivatives that we saw back in Calculus I. For instance, we will be looking at finding the absolute and relative extrema of a function and we will also be looking at optimization.

Both all three? They will, however, be a little more work here because we now have more than one variable. We will also see how tangent planes can be thought of as a linear approximation to the surface at a given point. Gradient Vector, Tangent Planes and Normal Lines — In this section discuss how the gradient vector can be used to find tangent planes to a much more general function than in the previous section.

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We will also define the normal line and discuss how the gradient vector can be used to find the equation of the normal line. Relative Minimums and Maximums — In this section we will define critical points for functions of two variables and discuss a method for determining if they are relative minimums, relative maximums or saddle points i. Absolute Minimums and Maximums — In this section we will how to find the absolute extrema of a function of two variables when the independent variables are only allowed to come from a region that is bounded i.

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The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply. Hottest Questions.

Previously Viewed. Unanswered Questions. Math and Arithmetic. What are the applications of tangent and normal in real life? Asked by Hulda Pouros. We need you to answer this question! If you know the answer to this question, please register to join our limited beta program and start the conversation right now! Related Questions Asked in Numbers What are real life applications of real number system? Asked in Math and Arithmetic, Calculus, Geometry What are some applications of differentiation in real life?

Yes if it was not practical it was not there. Asked in Math and Arithmetic, Algebra Real life application to the reciprocal function? There are no real life applications of reciprocal functions.

Asked in Geometry What is the application of analytic geometry in real life? There are many examples of daily life applications of real numbers. Some of these examples include clocks and calendars. What are the Applications of definite integrals in the real life? You'll find "real-life applications" of the quadratic equation mainly in engineering applications, not in sustainable development. Asked in Physics, Chemistry How is francium used in real life?

No applications in the real life; francium is only an object of studies in specialized research laboratories. Asked in Photosynthesis What are real life applications of photosynthesis? By my research i think there are none sorry. Asked in Calculus, Geometry What are the applications of numerical analysis in real life? Asked in Trigonometry What is one tangent equal to?System Simulation and Analysis.

Plant Modeling for Control Design. High Performance Computing. Tangent and Normal Lines This application is one of a collection of examples teaching Calculus with Maple. Steps are given at every stage of the solution, and many are illustrated using short video clips. ## 9 Real Life Examples Of Normal Distribution

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Because the normal distribution approximates many natural phenomena so well, it has developed into a standard of reference for many probability problems. It is a symmetrical arrangement of a data set in which most values cluster in the mean and the rest taper off symmetrically towards either extreme. Numerous genetic and environmental factors influence the trait. Normal distribution follows the central limit theory which states that various independent factors influence a particular trait.

When these all independent factors contribute to a phenomenon, their normalized sum tends to result in a Gaussian distribution. The mean of the distribution determines the location of the center of the graph, and the standard deviation determines the height and width of the graph and the total area under the normal curve is equal to 1.

Height of the population is the example of normal distribution. Most of the people in a specific population are of average height. The number of people taller and shorter than the average height people is almost equal, and a very small number of people are either extremely tall or extremely short.

However, height is not a single characteristic, several genetic and environmental factors influence height. Therefore, it follows the normal distribution. A fair rolling of dice is also a good example of normal distribution. If we roll two dices simultaneously, there are 36 possible combinations. More the number of dices more elaborate will be the normal distribution graph.

Flipping a coin is one of the oldest methods for settling disputes. We all have flipped a coin before a match or game. The perceived fairness in flipping a coin lies in the fact that it has equal chances to come up with either result. When we add both, it equals to one. If we toss coins multiple times, the sum of the probability of getting heads and tails will always remain 1. In this scenario of increasing competition, most parents, as well as children, want to analyze the Intelligent Quotient level.

Well, the IQ of a particular population is a normal distribution curve; where IQ of a majority of the people in the population lies in the normal range whereas the IQ of the rest of the population lies in the deviated range. For stock returns, the standard deviation is often called volatility.

If returns are normally distributed, more than 99 percent of the returns are expected to fall within the deviations of the mean value.

Such characteristics of the bell-shaped normal distribution allow analysts and investors to make statistical inferences about the expected return and risk of stocks. The income of a country lies in the hands of enduring politics and government. It depends upon them how they distribute the income among the rich and poor community.

We all are well aware of the fact that the middle-class population is a bit higher than the rich and poor population.