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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
It's called a vector
Why does the difference of squares only apply when the terms are separated by a minus sign?
If the two terms are not separated by a minus sign it wouldn't be a difference.
a2 - b2 factorises easily into (a - b)(a + b).
a2 + b2 does not factorise.
Darius is asked to solve the equation x plus 5 equals 4x?
X + 5 = 4X
subtract an X from both sides of equation
5 = 3X
divide both sides by 3
5/3 = x
What do you think is true of the square roots of a complex number?
I posted an answer about cube roots of complex numbers. The same info can be applied to square roots. (see related links)
How do you do the equation 4x plus 7 equals 21?
The question doesn't make clear what is meant by "doing" an equation.
Let's manipulate this one in order to find out how much ' x ' is:
4x + 7 = 21
Subtract 7 from both sides:
4x = 14
Divide both sides by 4:
x = 14/4 = 7/2
4 more units, making 7 units in total.
Is the graph of a curve a function?
The graph if a function can be a curve, but it can also be any one of a ton of other shapes.
Would you please factor 4x squared minus 2x minus 12?
(2x - 4)(2x + 3)
The key is to look for all the factor pairs of 12.
It's a word. It is not a number because you can't count to it.
What does x mean in this equation -55x plus 6 plus 4 equals -191?
x is equivalent to 3.6545, having 45 repetetive. With this multuplied by 55 and added 10 (4 plus 6) equals -191
If fx equals 2xsq-1 and f times unknown equals 17 how do i solve this?
17 is a prime number which means that the only way to get 17 by multiplication is to multiply it by 1. This would mean that either f or x is -17 and the other is -1. Because our answer is 17, the number carried to the other side would need to be the -1.
(f)(x)=2(x)(s)(q)-1
17=2(-1)(-3)(3)-1
(f)=-17
(x)=-1
(s)=-3
(q)=3
What is the y-intercept of x equals 8?
The graph of [ x=8 ] is a vertical line through the point 8 on the x-axis.
It never touches the y-axis, and has no y-intercept.
What are the two values you need to determine velocity?
You need to know your change of position vs. change of time.
What is 2 over X plus 1 over Y simplified they are fractions?
I understand you want [(2/x) + (1/y)] as a single fraction. The common denominator is (xy):
2/x = (2y)/(xy); and 1/y = x/(xy), so the answer is (2y + x) / (xy)
∫ f'(x)/√(a2 - f(x)2) dx = arcsin(f(x)/a) + C
C is the constant of integration.
