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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 gadient of y equals 9?

0. A line with constant y-value is horizontal, so its gradient is 0, meaning it neither goes up nor down.

Integrate1 plus x divided by x2 plus 1?

(1+x)/(x^2+1)

Let x^2+1 =u

2x dx = du

x dx = du/2

(1+x) / (x^2+1) = 1/(x^2+1) + x / (x^2+1)

Integral of x dx / (x^2+1) = (1/2) integral du / u = 1/2 ln|u| --(1)

Integral of 1 / (x^2+1) = arctan(x) --(2)

Adding (1) and (2)

Integral (1+x)/(x^2+1) = (1/2) ln(x^2+1) + arctan(x) + C

-2 plus 5 equals what?

Adding a negative number and positive number lowers the positive number. So, since you're taking 2 away from 5, the 5 goes down to 3. Therefore, the answer is 3.

Sally saves ten cents every day for one year how much money does she save?

$36.50 if she just keeps it in a jar or a piggy bank. More if she invests it.

26 plus -3 - 11?

Not calculus. In the case of having a plus sign in front of a minus sign, the result is to subtract the number. The same goes for if you have a minus sign in front of a plus sign. Remember that if the signs are different, the result will be a subtraction, if the signs are the same, it will be an addition (ie a double negative (- -), or a double positive(+ +)). So this question, 26 + -3 -11 is the same as 26 -3 -11, so will equal 12.

How do you simplify x to the 2nd power subtract 5x from 24?

It is not possible to answer the question.

There is no operation defined between x^2 and "subtract 5x from 24".

What is x when 10x plus 9equals 8x plus 21?

X= 6

10x + 9 = 8x + 21. subtract 8x and 9 to both sides

2x = 12. divide by 2 to both sides

x = 6

How do you solve competitive maths questions more effectively?

DO ALGEBRA!

If you don't know algebra, ask your mom and dad or attend a class on algebra or LOOK IT UP ON THE COMPUTER!

Which coordinate do the graphs of y equals 2x plus 8 and x plus y equals --1 intersect?

y=2x+8

x+y=-1

From the second you get x = -1-y, put in the first y=2*(-1-y)+8 then y = -2 y +6

3y = 6 => y = 2 and x = -3

What is answer to 8x-6 when x is equal to -1?

What this is asking for is for you to plug in -1 into every x, so

8(-1)-6=? ;You substitute -1 for x

-8-6= ;Multiply 8 by -1

-14 ;Add the negatives

What is equal to the square root of 8xy2 x the square root of 20y?

sqrt(8xy2) * sqrt(20y) = 2y*sqrt(2x)*sqrt(20y) = 4y*sqrt(x)*sqrt(10y)

= 4y*sqrt(10xy)

What is the answer to 4x-y equals 1 and 3x plus y equals 13?

4x - y = 1

3x + y = 13

Add the equations: 7x = 14 so that x = 2

and then, by the first equations, 4*2 - y= 1 so that y = 7

How do you calculate centimeters into cubic meters?

A meter has 100. Centimters and cube means three times. Means divide it by 100 x100 x 100