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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 answer to 3x plus 9 equals 5x minus 4?
3x + 9 = 5x - 4
3x +13 = 5x
13 = 2x
13/2 = x
so x = 6.5
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
What is the rule if x is 1 and y is negative 5?
There are infinitely many rules that it could be.
Here are a few:
y = x - 6
y = -5x
y = 10x - 15
y = x2 + 5x - 11
y = -x - 4
If you say that x=1, then all of these turn out to have y=-5 , so there's
no way we can tell which rule those two numbers came from.
1/2*(-3x) = 5
Multiply both sides by 2: -3x = 10
Divide both sides by -3: x = 10/(-3) = -31/3
What is the solutions to x2-2x-9 equals 0?
Using the quadratic formula, x = 0.5*[2 ± sqrt(4 + 4*1*9)]
= 0.5*[2 ± sqrt(40)]
= [1 ± sqrt(10)]
= -2.162278 and 4.162278 (to 6 dp)
How would you prove that x plus 2 is a factor of the expression 2x cubed -3x squared -12x plus 4?
By (long) division:
. . . . . . . . . . .2x2 - 7x . + 2
. . . . . ----------------------
x + 2 | 2x3 - 3x2 - 12x + 4
. . . . . .2x3 + 4x2
. . . . . .-----------
. . . . . . . . . - 7x2 - 12x
. . . . . . . . . - 7x2 - 14x
. . . . . . . . . ------------
. . . . . . . . . . . . . . . . 2x + 4
. . . . . . . . . . . . . . . . 2x + 4
. . . . . . . . . . . . . . . . -------
. . . . . . . . . . . . . . . . . . . . .0
. . . . . . . . . . . . . . . . ====
(the "dot-spaces" are used to hold the characters in the right place of the division - they should be treated as blank)
Thus since
(x + 2)(2x2 - 7x + 2) = 2x3 - 3x2 - 12x + 4
(x + 2) is a factor of 2x3 - 3x2 - 12x + 4
In the division:
- the first term of the divisor (x) is compared with the highest power of x remaining in the dividend to find the next term of the quotient;
- the whole divisor is multiplied by this;
- then subtracted from the dividend;
- Steps 1-3 are repeated until there is no first term of the divisor (x) in the dividend.
- If the dividend is '0' (ie the last multiplication resulted in what was remaining in the dividend) then the divisor is a factor of the original dividend); otherwise it is not a factor.
How can you make 18 into number form not fraction form?
' 18 ' is not in fraction form. It looks like the job is done.
Who do you change from slope intercept form to standard form?
This is stupid! Why do you even need m help?!
Is A squared minus 90 a difference of squares?
Yes and no, it depends on whether you are willing to accept non-integers:
Square root of 90 is 9.486832981... so A^2 - 90 = (A - 9.486832981...)(A + 9.486832981...)
What is 7x plus 4 minus2x plus 9?
7X + 4 - 2X + 9 = 0
Move all constants to the opposite side-
7X - 2X = -9 - 4
Simple addition and subtraction-
5X = -13
Get X by itself by division-
X = -13/5
There you go :)
I will be glad to give you a complex number. (i^i)^i is i raised to the i power and
raised to the i power again. This is not the same as i^3 which is -i but computes to .947 + .321i
