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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 you factor the expression x cubed minus x squared?

x3-x2

Both terms in this expression have x2 in them, so "divide" each term by it using the distributive property in reverse.

x2(x-1) = x3-x2

If you "re-distribute" you should see that they are equal.

What is the value of x and y if 4x plus 1.5y equals 79?

There are infinitely many pairs of values (x, y) which will satisfy 4x + 1.5y = 79

The equation can be rearranged:

4x + 1.5y = 79

⇒ 1.5y = 79 - 4x

⇒ y = (158 - 8x) ÷ 3

For any given value of x, plug it into the above equation and the corresponding value of y will be calculated. So, some pairs of values (x, y) that satisfy this are:

(-2, 58), (1, 50), (4, 42), (7, 34)

How do you make x the subject of x squared-b equals 9?

x2-b = 9

x2 = 9+b

Square root both sides:

x = the square root of (9+b)

What is 2x-6x plus 5 equals 0?

2X - 6X + 5 = 0

subtract 5 from each side

2X - 6X = - 5

do what it says on the left

- 4X = - 5

X = 5/4

check in original equation

2(5/4) - 6(5/4) + 5 = 0

10/4 - 30/4 + 5 = 0

- 20/4 + 5 = 0

- 5 + 5 = 0

0 = 0

checks

What is the 13628th digit of pi?

Including the initial digit 3, the 13628th digit of pi is 7.

What is the volme of 752m x 319m x 110m?

Don't you have a calculator? Just multiply them together. It's really simple and a whole lot faster than going to a website and make us do your homework for you.

What is e to the x times x squared?

It is an expression whose value will depend on the value of the variable x.

How do you find x in 8 equals -16x2 plus 30x plus 3.5?

ANYTIME. a number is next to a variable it means that number has to be multiplied by the variable. Try writing it out as 30 times x in the equation. Its quite simple just refere to the Order of operations and PEMDAS search around if you are not sure on how to find the value of a variable. Its actually quite simple. Since I infer you are probably doing homework I don't want to go ahead and give you the value so this is the most i can help you.

What is the sum of all function in any circle graphs?

THere are infinitely many possible functions in any circle graph. Your question needs to be more specific.

What is 7 x 0.3?

It would have been far simpler and quicker to use your calculator but since you are unable or unwilling to make that effort, the answer is 2.1

How would you find the value of y in the expression x cubed plus x squared plus xy plus 8 which is divisable by x minus 1 with no remainder?

The clue is in the question inasmuch that there is no remainder so using the remainder theorem the result must equal zero:-

f(x) = x3+x2+xy+8

f(x) becomes f(1) because the divisor is x-1

f(1) = 13+12+1y+8 = 0 because ther's no remainder

f(1) = 1y = -10

So y = -10