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Calculus
The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.
25,068 Questions
What is this answer x plus 6 equals?
If you don't know what x is then there is nothing more you can do with that problem. At least in 9th grade algebra haha.
it is very easy how to solve mrc x 90 and this algebra and im in 6th grade and i figured this out yesturday
mrc=o
90=90 so, mrc x 90 = 0
because mrc is o in other terms so your multiplying 90 x 0 but instead its just mrc x 90
How do you find the value of x if x root 2 divided by 5 minus root 3 equals 5 plus root 3?
x*sqrt(2)/{5 - sqrt(3)} = {5 + sqrt(3)} => x*sqrt(2) = {5 + sqrt(3)} * {5 - sqrt(3)} = 25 - 3 = 22
=> x = 22/sqrt(2) = 22*sqrt(2)/{sqrt(2)*sqrt(2)} = 22*sqrt(2)/2 = 11*sqrt(2)
How do you solve 3x plus y equals 4?
If you mean calculate numbers for 'x' and 'y', you can't do that
until you have another equation.
You need as many equations as the number of 'unknowns'.
What you have so far is the equation of a straight line graph, and
the 'x' and 'y' of every point on the line make the equation true.
How can you find out if an equation has infinitely many solutions?
There are many different kinds of equations, and each kind requires special techniques for solving; so it probably isn't possible to give rules that are valid in all cases. In any case, here are some specific examples; I am sure there are others which I don't remember right now:
Trigonometric equations quite often have an infinite number of solutions, because they are periodic. To give a simple example, sin x = 0 has the solution x = 0, but also pi, 2xpi, 3xpi, etc. (equivalent to 180 degrees, 360 degrees, etc.), because of the periodic nature of the sine function.
If a variable disappears when solving an equation, if you get a true statement the solution set is the set of all real numbers. For example, 2(x+1) = 2x + 2. Solving, you get: 2x + 2 = 2x + 2, or 0 = 0. Note that the variable "x" disappeared.
There are many different kinds of equations, and each kind requires special techniques for solving; so it probably isn't possible to give rules that are valid in all cases. In any case, here are some specific examples; I am sure there are others which I don't remember right now:
Trigonometric equations quite often have an infinite number of solutions, because they are periodic. To give a simple example, sin x = 0 has the solution x = 0, but also pi, 2xpi, 3xpi, etc. (equivalent to 180 degrees, 360 degrees, etc.), because of the periodic nature of the sine function.
If a variable disappears when solving an equation, if you get a true statement the solution set is the set of all real numbers. For example, 2(x+1) = 2x + 2. Solving, you get: 2x + 2 = 2x + 2, or 0 = 0. Note that the variable "x" disappeared.
There are many different kinds of equations, and each kind requires special techniques for solving; so it probably isn't possible to give rules that are valid in all cases. In any case, here are some specific examples; I am sure there are others which I don't remember right now:
Trigonometric equations quite often have an infinite number of solutions, because they are periodic. To give a simple example, sin x = 0 has the solution x = 0, but also pi, 2xpi, 3xpi, etc. (equivalent to 180 degrees, 360 degrees, etc.), because of the periodic nature of the sine function.
If a variable disappears when solving an equation, if you get a true statement the solution set is the set of all real numbers. For example, 2(x+1) = 2x + 2. Solving, you get: 2x + 2 = 2x + 2, or 0 = 0. Note that the variable "x" disappeared.
There are many different kinds of equations, and each kind requires special techniques for solving; so it probably isn't possible to give rules that are valid in all cases. In any case, here are some specific examples; I am sure there are others which I don't remember right now:
Trigonometric equations quite often have an infinite number of solutions, because they are periodic. To give a simple example, sin x = 0 has the solution x = 0, but also pi, 2xpi, 3xpi, etc. (equivalent to 180 degrees, 360 degrees, etc.), because of the periodic nature of the sine function.
If a variable disappears when solving an equation, if you get a true statement the solution set is the set of all real numbers. For example, 2(x+1) = 2x + 2. Solving, you get: 2x + 2 = 2x + 2, or 0 = 0. Note that the variable "x" disappeared.
x2 + 4x + 6 can not be factored.
If you want, you can reduce it to an expression with a single x term by comleting the square:
x2 + 4x + 6
= x2 + 4x + 4 + 2
= (x + 2)2 + 2
What does x equal in 5x plus 2 equals x plus 6?
5x + 2 = x + 6
Subtract x from both sides: 4x + 2 = 6
Subtract 2 from both sides: 4x = 4
Divide both sides by 4: x = 1
What does x equal in 3 x plus 6 plus x equals 86?
3X + 6 + X = 86
add the like terms, X's, together
4X + 6 = 86
subtract 6 from each side
4X = 80
divide both sides by 4
X = 20
check
3(20) +6 + (20) = 86
86 = 86
checks
What is the anti-derivative of the absolute value of x over x?
For positive x, this expression is equal to 1. The integral (anti-derivative) is therefore x + C (where C is the arbitrary integration constant).
For negative x, this expression is equal to -1, and the integral is -x + C.
Wolfram Alpha gives the integral as x times sgn(x), where sgn(x) is the "sign" function.
Prove that square of 2 is irrational?
It is not possible to prove something that is not true. The square of 2 is rational, not irrational.
What are the x solutions for 10x2-64 equals 36x plus 6x2?
10x2 - 64 = 36x + 6x2
Subtract 6x2 from both sides:
4x2 - 64 = 36x
Subtract 36x from both sides:
4x2 - 36x - 64 = 0
Divide everything by 4:
x2 - 9x - 16 = 0
Use the quadratic formula:
x = (9±√(92-4(-16)))/(2)
x = (9-√(145))/2 or x = (9+√(145))/2
Does a coloured shape tessellate?
Colour plays no part in whether a shape can tesselate or not. It is all down to the actual shape itself.
There can be no equivalence. An ounce is a measure of mass. A millilitre is a measure of volume. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid. If the question had been about fluid ounces instead of ounces, or if the question had been about milligrams instead of millilitres, it would have been possible to convert but the question was not either one of those - or other valid versions.
What is the domain and range of y equals x?
The domain of a function represents the set of x values and the range represents the set of y values. Since y=x, the domain is the same as the range. In this case, they both are the set of all real numbers.
Does every function have a domain and range?
yes, bcoz evey function gives some output for input. Except constant function.
