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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 does six dots open three doors mean?

It has to do with the 3 Regis, Regirock, Registeel, and Regice. You have to have a Relicanth in the front of your party and a Wailord in the back. I believe you also have to beat the elite four to access the caves the Regis are in.

If 3X - 1 equals 11 what is the value of X2 plus X?

3x-1 = 11 3x = 11+1 = 12 x = 12/3 = 4 Therefore: x2 + 2 = 16 + 2 = 18

Show how 13 is worked from both side of the equal sign for the problem13 plus x equals 106?

13+x=106

x+13=106 commutative property of addition

x+13-13=106-13 additive property of equality

x=93 substitution property

What is the slope of 5x plus 4y minus 8?

5x + 4y - 8 = 0

Alright, we want to get this in y = mx + b form

subtract 4y from each side

-4y = 5x - 8

divide each side by -4

y = -0.8x + 2

in y = mx + b form, b is the y-intercept and m is the slope.

m directly affects x, while b moves it up and down the y-axis about the origin

therefore, in this problem the slope is -0.8

Graph the equation 2x plus 3y plus 6z equals 18?

The result will be a plane that intercepts the x-, y-, and z-axes at +9, +6, and +3, respectively.

What is x2 squared minus y?

That's going to depend on the values of 'x' and 'y',

neither of which is specified in the question.

What is the mulitplication inverse of x?

The mulitplication inverse of x is 1/x.

This is because (1/x)(x) = 1

What is the answer to -3x plus 8.1 equals -18.9?

Here's the work for that problem.

-3x+ 8.1= -18.9

-3x=-18.9-8.1 (subtracting 8.1 from both sides, or, moving it to the other side)

-3x=-27

x=27

Are 6 and 9y unlike terms?

Yes, 6 and 9y are unlike terms. The 6 is a constant and 9y is constant attached to a variable.

What is the variables in this equation 25 plus x equals 47?

Technically there are no variables in this equation, as 47 minus 25 is equal to x (22)

What are the solutions of 8x-15x equals 0?

There are only one solution.

8x - 15x = 0

Combine the 'like' terms on the left side of the equation:

-7x = 0

Divide each side by -7 :

x = 0

This are the only solution to the equation.

What 4 number combinations can you get by using numbers 0-9?

There are 10C4 = 10*9*8*7/(4*3*2*1) combinations of 4 digits that are all different. That is, 210 of them, and I have no inclination to list them.