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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 divides into the number 117?

The factors of 117 are 1, 3, 9, 13, 39, and 117. These are the only numbers that divide into 117 evenly, without a remainder.

Where do the lines 3x-y equals -4 and 3x-y equals 0 intersect?

3x - y = -4

3x - y = 0

Those lines do not intersect. They are parallel. You can demonstrate by solving either of them for one of the two variables, then plugging it's value into the other:

3x - y = -4

∴y = 3x + 4

Now substitute:

3x - y = 0

∴ 3x - (3x + 4) = 0

∴ 3x - 3x - 4 = 0

∴ -4 = 0

This result is obviously incorrect, indicating that the lines do not intersect.

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.

How many didgits of pi are known?

pi never ends but we don't know many the there is someone that claims to know 20million digits if he said a number per second it would take about 2 years so examiners say things like 2000-3500 and he says them and he has not been proved wrong yet.

Is the remainder always greater than or less than the divisor?

It SHOULD always be less than the divisor...

Otherwise your answer is wrong.

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 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 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.

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

-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