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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

How do i go about finding the linear aproximation and hausdorff distance for the function x sin 1 over x?

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 are some ordered pairs that the equation y equals 8x relate to?

This just means to list values of x and then plug them into the equation to find the value of y for that x.

so in (x,y) form:(1,8) (2,16) (3,24) and so on.

What is the linear graph for y equals -x plus 3?

you can try doing -3+3, -2+3 or just substitue the "x" with numbers that go in order like 5,4,3,2,1

What is the value for x in 10 plus 8x?

Anything and everything. Please complete the question...

How do you solve this equation 4x-3y9?

Fortunately,you don't have to, because it's not an equation.

How do you solve linear inequality?

That's going to depend on what statement the inequality itself makes, and

on what you are required to find as a solution. There is no general rule for

every exercise that involves an inequality. Sadly, you have no other choice

but to use your brain every time.

X2 plus 4 equals 173?

x2 + 4 = 173

x2 = 173 - 4 = 169

x = sqrt(169) = 13 or -13

How do you find the root of 3x²-5x plus 1 equals 0 by quadratic formula?

a=3 b=5 c=1

D=b2-4ac

D=25-12

D=13

x=-b +- Underoot of D The whole divided by 2a.

x=-5+-Under root of 13 Divided by 6

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 does 3 before the y mean?

3y means that the value of the variable 'y' is multiplied by 3

Is 51 sqared?

The number 51 is not the square of a whole number. It is the square of 7.1414.

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

Where do you put parentheses to make 2 plus -3 by 4 equals -10?

You don't need to put any in as BODMAS tells you to do the multiplication first, but to clarify this you can put them around the multiplication:

2 + -3 x 4 = 2 + (-3 x 4)

What is -17-2x equals 6-x?

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

How do you do compositions of functions backwards?

I am not entirely sure what you mean; in general, if you change the order of composition, you will usually get different results: f(g(x)) is usually NOT equal to g(f(x)).