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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 is the value of y 6y plus 22 equals 4y-42?

y = -32

6y + 22 = 4y - 42 subtract -4y from both sides

2y + 22 = -42 subtract 22 from both sides

2y = -64 Divide both sides by 2 to get y by itself

y= -32

Factoring this expression Check by multiplying factors xy plus ay plus ab plus bx?

xy + ay + ab + bx = y(x + a) + b(a + x)

= y(x + a) + b(x + a) = y(x + a) + b(x + a) = (y + b)(x + a)

To check, multiply out the two brackets making sure that each pair is evaluated.

What is x plus 1525?

That completely depends on what 'x' is. Whenever 'x' changes,

[x + 1,525] also changes immediately.

How many solutions does the following equation x 14 x 5 have?

Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question.

How do you solve -x equals 4?

Watch carefully:

-x = 4

Multiply each side of the equation by -1 :

x = -4

Sketch a rough graph of the number of hours of daylight as a function of the time of year?

That graph completely depends on your location on Earth.

Any two different latitudes will produce two different graphs.

10x - 8y equals -2 9x plus 8y equals 59?

Do a bit of rearrangement: 1: 10x + 2 = 8y; 2: 8y = 59 - 9x

so 10x + 2 = 59 - 9x so 19x - 57 making x = 3 and y is therefore 4.

If y equals kx then what is the relationship between x y and k?

Various options:

y is directly proportional to k, with x as the constant of proportionality;

y is directly proportional to x, with k as the constant of proportionality;

x is inversely proportional to k, with y as the constant of proportionality;

x is directly proportional to y, with 1/k as the constant of proportionality;

k is directly proportional to y, with 1/x as the constant of proportionality; and

k is inversely proportional to x, with y as the constant of proportionality.

23 plus 2y equals y plus 75?

First, let's write it out:

2y+23=y+75

1. Subtract y from both sides to get:

y+23=75

2. Subtract 23 from both sides to get:

y=52

And that's your final answer for y!

How can a rate be written as a unit rate?

Unit Rates ... Is the rate for one unit of a given quantity. Unit means one .

What is the line of symmetry for y equals -3x2 12x - 11?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).