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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
well if you use the substitution 1/y = x the formula becomes
1/y sin(y) or sin(y)/y. Now near where y = 0 (x->infinity)
sin(y)/y is approximately 1. So does that help? I'm not sure what
the hausdorff distance is. It's been a very long time since I've taken
a math course.
What is the step by step answer to x plus 4divided by x to the second power 12x 44?
The lack of brackets here makes it impossible to work out what this mathematical expression really is. For example "x plus 4 divided by x.." could be x + 4/x or it could be (x+4)/x .. and so further.
What is the answer to3x-9 equals x plus 7?
3x - 9 = x + 7
Add 9 to each side of the equation:
3x = x + 16
Subtract 'x' from each side:
2x = 16
Divide each side by 2 :
x = 8
What is the equation answer for x over 2 plus 9 equals 24?
x/2 + 29 = 24
Subtract 29 from both sides: x/2 = -5
Multiply both sides by 2: x = -10
What is the soulition to y equals x plus 3 equals 2x plus 4?
x + 3 = 2x + 4
Subtract x from both sides: 3 = x + 4
Subtract 4 from both sides: - 1 = x
y = x + 3 = -1 + 3 = 2
The solution is (x, y) = (-1, 2)
What is the anti derivative of e x2?
The integral of x^2:
f(x)= A . x^n
f´(x)= A . n . x^(n-1) = x^2
Hence, n must be 3 for (n-1)=2 which automatically means that A must be 1/2 in order for A . n= 1
Thus, f(x)=0,5 . x^3 (antiderivative)
0,5e . x^3
What are the coordinates of the x-intercept of the line x - 3y equals 6?
Put in function/point slope form.
X - 3Y = 6
- 3Y = - X + 6
Y = (1/3)X - 2
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zero out the Y
(1/3)X - 2 = 0
(1/3)X = 2
2 divided by 1/3 same as 2 * 3/1 = 6
X = 6
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of course you can just zero out the Y in original equation
X - 3(0) = 6
X = 6
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Take 3 from each side: 8x = 56
Divide by 8: x = 7
Next business?
How many ways can you solve this simultaneous equation x plus 2y equals 5 2x-y equals 15?
This system has the unique solution (7, -1). Solving the first equation for x and substituting gives us y = -1; substituting that into either of the original equations gives x = 7.
You can see the steps in between using the link in the "related links" section below.
How do you do fractions with simplest form?
Say you have 4/10 2 goes into 4 2 time and 10 5 times so is 2/5 when you have an even and a odd you can't simplify
The strict answer to this question is that it is an equation. Being an accomplished mind-reader I believe you wish to know the value of x. So add 2x to each side to get -17=6+x, then subtract 6 from each side to get -23 = x
