what does it mean to derive an equation
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What does it mean to derive an equation? One is taking the derivative of an equation. That means to find out the rate at which one quantity changes as a function of the other quantity. For example, if we know the equation that describes the level of water in a swimming pool at any given time, we can figure out the rate that that water changes over time by taking the derivative. The other term is to derive an equation. This means to take a first-principles approach to figure an equation that describes some phenomena. For example, knowing that mass and energy are conserved, and with the assumption of incompressibility, we can derive the equation that will describe an ideal fluid's motion through a pump.
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algebraic expression An equation admits of description in two ways:— It may be regarded purely as an algebraic expression, or as a geometrical locus. It is a mere symbol, like the algebraic expression which stands for a curve.
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6.2.3 Represent & Solve Equations In a simple numerical equation, expressions made of numbers and operations appear on each side of an equals sign. The equals sign means that the two expressions have the same value. For example, 3 + 9 = 12 is an equation. The expression on the left, 3 + 9, has the same value as the expression on the right, 12.
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- The first method is called the method of substitution. In this method we will solve one of the equations for one of the variables and substitute this into the other equation. This will yield one equation with one variable that we can solve. Once this is solved we substitute this value back into one of the equations to find the value of the remaining variable.
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- Definition of Elimination Method. Elimination Method is the process of eliminating one of the variables in a system of equations using addition or subtraction in conjunction with multiplication or division and solving the system of equations.
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- A rational equation is an equation where at least one denominator contains a variable. When a denominator contains a variable, there is usually a restriction on the domain. The variable cannot take on any number that would cause any denominator to be zero.
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- y = mx + b. Or more commonly in the context of regression, ^ y = b 0 + b 1 x where b 1 is the slope of the line, and b 0 is the y-intercept. Note that the y has a caret (^) over it. This is pronounced y-hat and means it is our estimated value of y. We need this symbol because is because it is extremely rare for actual data points to fall exactly on a line. We can express this same equation differently as y = b 0 + b 1 x + e for the function , or y i = b 0 + b 1 x i + e i for a particular pair of x's and y's. The term e i is the residual for observation i; that is, the difference between the prediction and the observed value.
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Equation An Equation is a mathematical sentence that uses the equal sign (=) to show that two expressions are equal. Example of Equation The following are some examples of equation.
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What is an Equation in Math? - Definition & Examples 3 * x = 12. The letter x is the number of days you'll need to work. We now have an equation, which is a number sentence in which a variable takes the place of unknown information. In other words, if you take out part of a number sentence and replace it with a variable, you've created an equation.
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Equations and Formulas Equations and Formulas What is an Equation? An equation says that two things are equal. It will have an equals sign = like this:
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Equation A system of equations is a set of simultaneous equations, usually in several unknowns, for which the common solutions are sought. Thus a solution to the system is a set of values for each of the unknowns, which together form a solution to each equation in the system.
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- Webster Dictionary(0.00 / 0 votes)Rate this definition: 1  Derivation(noun) a leading or drawing off of water from a stream or source. 2  Derivation(noun) the act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence.
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Algebra - Basic Definitions Parts of an Equation. So people can talk about equations, there are names for different parts (better than saying that thingy there!). Here we have an equation that says 4x − 7 equals 5, and all its parts: A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y. A number on its own is called a Constant.
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- A) thymus and thyroid glands B) ovaries and the testes C) liver and the pancreas D) anterior pituitary and the adrenal cortex E) posterior pituitary and the adrenal medulla.
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- Equations and Expressions are closely related. The primary difference between the two is an equals sign. An equation has a left side, a right side and an equals sign separating the sides. An expression, by contrast, doesn't have any sides and is simply what the name suggests: An algebraic expression.. Though sometimes it is possible to combine like terms, we are generally not expected to do or solve anything regarding expressions. For example: 3x - 7 = 2.
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What is estimate - Definition and Meaning Estimate : Calculation of the approximate value of the result is called the estimation.
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- situations in which you need to find missing information.For instance,Exercise 68 on page 174 shows how to use a linear equation to determine the height of a flagpole by measuring its shadow. Sergio Piumatti Equations and Solutions of Equations An equation in x is a statement that two algebraic expressions are equal. For example, and are equations. To solve an equation in x means to find all values of x for which the equation is true. Such values are solutions. For instance, is a solution of the equation because is a true statement. The solutions of an equation depend on the kinds of numbers being consid-ered. For instance, in the set of rational numbers, has no solution
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Definitions &Translations Wiktionary (0.00 / 0 votes) Rate this definition: derivation (Noun) A leading or drawing off of water from a stream or source. derivation (Noun) The act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence. derivation (Noun)
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- Webster Dictionary(0.00 / 0 votes)Rate this definition: Derive(verb) to turn the course of, as water; to divert and distribute into subordinate channels; to diffuse; to communicate; to transmit; -- followed by to, into, on, upon. Derive(verb)
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- Draw a flow diagram similar to that in Figure 6.10 for the substances 2,4, and 6 shown in Figure. 6.15. Introduction. Extraction is the drawing or pulling out of something from something else. A lawyer extracts. the truth from a criminal; athletes try to extract the last ounce of energy from their muscles.
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- Wiktionary(0.00 / 0 votes)Rate this definition: 1  derivation(Noun) A leading or drawing off of water from a stream or source. 2  derivation(Noun) The act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence.
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- Pythagorean Gold Member. Re: why does the professor derive the equation?. For me, it's all about knowing how to model the world with mathematics, and knowing how to change and adapt your models for particular cases. To do that, you have to know the motivation for every expression and term in the model.
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draw 8. to depict or sketch (a form, figure, picture, etc) in lines, as with a pencil or pen, esp without the use of colour; delineate. 9. (tr) to make, formulate, or derive: to draw conclusions, comparisons, parallels.
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Difference Between Algebraic Expressions and Equations • An equation is two or more expressions with an equality condition and the equation is true for one or several values of the variables. An equation makes complete sense as long as the equality condition is not violated.
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derived verb. Derived is defined as came from or obtained from a specific source. When your decor style comes from a picture you see online, this is an example of a time when your decor is derived from your inspiration picture.
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- Derive \De*rive\, v. t. [imp. & p. p. Derived; p. pr. & vb. n. Deriving.] [F. d['e]river, L. derivare; de- + rivus stream, brook. See Rival.] 1. To turn the course of, as water; to divert and distribute into subordinate channels; to diffuse; to communicate; to transmit; -- followed by to, into, on, upon.