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How can you tell whether an equation is linear or nonlinear?

An equation is linear if it can be expressed in the form (y = mx + b), where (m) and (b) are constants, and the variables are raised only to the first power and multiplied by constants. In contrast, an equation is nonlinear if it includes variables raised to powers greater than one, products of variables, or functions such as exponentials, logarithms, or trigonometric functions. To determine the linearity, check for these characteristics in the equation. If any of these nonlinear elements are present, the equation is nonlinear.


What can't linear equations have in order to be a linear equation?

To be a linear equation, the equation must be set equal to Y. Also, it can't have any square roots, or any variables on the bottom of a fraction. In general, the terms of a linear equation must be either first-degree polynomials with respect to the variables, constants, or products of the two. This disallows terms involving trigonometric, logarithmic, exponential, hyperbolic, and power expressions (except for the power of 1) and their inverses.


How do you find trigonometric ratios without a calculator?

There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)


What mathematician created trigonometry?

Trigonometry goes back to ancient times. The first trigonometric table is attributed to Hipparchus of Nicaea.


What is the answer to an equation problem?

you have to write down the equation first so people can answer it

Related Questions

How do you set up the trigonometric ratio used to find the missing quantity?

To set up a trigonometric ratio for finding a missing quantity in a right triangle, first identify the relevant sides and angle. Use the appropriate trigonometric function: sine (opposite/hypotenuse), cosine (adjacent/hypotenuse), or tangent (opposite/adjacent) based on the given information. Write the equation by substituting the known values into the ratio, and then solve for the missing quantity.


How can you tell whether an equation is linear or nonlinear?

An equation is linear if it can be expressed in the form (y = mx + b), where (m) and (b) are constants, and the variables are raised only to the first power and multiplied by constants. In contrast, an equation is nonlinear if it includes variables raised to powers greater than one, products of variables, or functions such as exponentials, logarithms, or trigonometric functions. To determine the linearity, check for these characteristics in the equation. If any of these nonlinear elements are present, the equation is nonlinear.


What can't linear equations have in order to be a linear equation?

To be a linear equation, the equation must be set equal to Y. Also, it can't have any square roots, or any variables on the bottom of a fraction. In general, the terms of a linear equation must be either first-degree polynomials with respect to the variables, constants, or products of the two. This disallows terms involving trigonometric, logarithmic, exponential, hyperbolic, and power expressions (except for the power of 1) and their inverses.


How do you find trigonometric ratios without a calculator?

There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)


Is a rhombus always sometimes or never a parallelogram?

Always. In fact, one method of proving a quadrilateral a rhombus is by first proving it a parallelogram, and then proving two consecutive sides congruent, diagonals bisecting verticies, etc.


What is a first degree equation?

a linear equation


What mathematician created trigonometry?

Trigonometry goes back to ancient times. The first trigonometric table is attributed to Hipparchus of Nicaea.


How do you balance a chemistry equation effectively?

To balance a chemistry equation effectively, you need to adjust the coefficients of the reactants and products so that the number of atoms of each element is the same on both sides of the equation. Start by balancing the most complex molecule or element first, then work your way through the rest of the equation. Remember to only change coefficients, not subscripts, to maintain the chemical identity of the substances involved.


What is the Contribution of hipparchus to trigonometry?

Created the division of a circle into 360 degrees and made one of the first trigonometric tables for solving triangles.


What is an answer to an equation?

you have to write down the equation first so people can answer it


When was Identity - novel - created?

"Identity" is a novel by Milan Kundera that was first published in 1997.


Who was the first iatrochemist to balance a chemical equation?

Jean Beguin was the first iatrochemist to balance a chemical equation.