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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

Why is x plus x equal to 2x?

It is equal to 2x because if you were to replace the "x" with a number say, 2 for example so 2 + 2 would be 4 and 2 times 2 would also be 4 which is what "2x" stands for (2 times x). So then if you had x + x you would get 2x.

What is the y-intercept of the graph of 2y-5x equals 14?

To find the y-intercept of 2y - 5x = 14, we can set x = 0 and solve for y.

2y - 5(0) = 14

2y = 14

y = 7

So the y-intercept occurs at (0, 7).

What is y equals 2x-12x plus 16 in vertex form?

if you meant it as you wrote it, then the equation is just a line.

if you meant: 2x^2-12x+16, then:

y=2(x^2-6x)+16

y=2(x^2-6x+9)+16-18. You have to subtract 18, not 9, because it is being multiplied by 2.

y=2(x-3)^2 - 2

What is urban integration?

Urban integration refers to the process of creating inclusive, cohesive urban environments where diverse communities can coexist and thrive. It involves the integration of various social, economic, and cultural groups within a city, promoting equitable access to resources, services, and opportunities. This approach aims to reduce spatial and social segregation, fostering collaboration and interaction among residents to enhance overall quality of life and urban sustainability.

Who is credited with defining the standard notation for integrals?

Gottfried Wilhelm Leibniz is credited with defining the standard notation for integrals.

-6x plus 3 plus 1 5?

if this question is -6 times 3 plus 15 then = -21

if its -6 plus 3 plus 15 then = 12

if its -6 times 3 plus 1.5 then = -16.5

if it is -6 plus 3 plus 1.5 = -1.5

How many asymptotes does a hyperbola have?

A hyperbola has 2 asymptotes.

www.2dcurves.com/conicsection/​conicsectionh.html

Can you help us 3x plus 2y equals 43 solve for y when x equals -4 plus y divided by 2?

3x+2y=43 where x=(-4+y)/2 =0.5y-2

3(0.5y-2)+2y=43

1.5y-6+2y=43

3.5y-6=43

3.5y=49

y=49/3.5 which is the same as (49x2)/7 =14

Given ABCD and equals 32 and equals 9x plus 5 what is the value of x?

Your question is a little nebulous, but I think this is what you mean...

32 = 9x + 5

Thus we want to get x equal to the scalar (i.e. number)

move 5 on the other side through subtraction (because 5 is positive already...we use the opposite operation to "flip" it)

32 - 5 = 9x

27 = 9x

Now, we divide each side by 9 to get x alone.

27/9 = 9x/9

27/9 = 1x

27/9 = x

3=x

Thus...X=3

What is the meaning of calculus?

Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc., A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.

What is 32-5x equals 3x plus 8?

32-5x=3x+8

32-5x-8=3x+8-8

24-5x=3x

24-5x+5x=3x+5x

24=8x

x=24/8=3

When solving x to the second power -4x equals 10 by completing the square?

X^2 - 4X = 10

halve the integer of the linear term (- 4X ), square it and add to both sides

X^2 - 4X + 4 = 10 + 4

factor on the left and gather terms together on the right

(X - 2)^2 = 14

(X - 2)^2 - 14 = 0

Vertex is,

(2,-14)

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