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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
35x^2 + 77x + 42
Improved answer:
5x+67x+7
When simplified = 72x+7
Solve y cubed equals 8 - x determining if y is a function?
It is not possible to solve a single equation of the given form.
In the set of real numbers y is a function: each value of x will give exactly one value of y. However, in the field of complex numbers y is not a function since each value of x gives rise to three values of y: a real value and a pair of complex conjugates.
You find the gradient of the curve using differentiation. The answer is 0.07111... (repeating).
What is the Y-incercept if -9X plus Y equals 21?
standard form equation is y = mx + b where m =slope and b = y intercept
-9x + y = 21
add 9x to both sides
y = 9x +21
b = y intercept = 21
How do you solve constants a and b of Redlich-Kwong equation of state?
See formulas at the link below.
9X - 7 = 6
add 7 to each side
9x - 7 + 7 = 6 + 7
9X = 13
divide both sides integers by 9
(9/9)X = 13/9
X = 13/9
=========check in original equation
9(13/9) - 7 = 6
13 - 7 = 6
6 = 6
--------checks
What is x2-4 over x2 plus 2x-8 times x2 plus 6x plus 8 over x2 plus 4x plus 4?
(x^2-4) (x^2+6x+8)
__________ x _________ which is
(x^2+2x-8) (x^2+4x+4)
(x+2)(x-2) (x^2+4x+2x+8)
___________ x _____________ which is
(x^2+4x-2x-8) (x^2+2x+2x+4)
(x+2)(x-2) x(x+4)+2(x+4)
___________ x ____________ which is
x(x+4)-2(x+4) x(x+2)+2(x+2)
(x+2)(x-2) (x+2)(x+4)
________ x _________ which is 1 as all the terms in the num & den cancel
(x-2)(x+4) (x+2)(x+2)
What is the standard form of 13 equals 4x plus 5y?
The standard form, which is the form that can be generalised to 3 or more dimensional spaces, is 4x + 5y - 13 = 0
2x-y equals 4 and y equals 5x-7?
Your answer is x = 1 & y = -2
Given Equations:
2x-y=4
y=5x-7
Using Substitution
Substitute y for 5x-7 to simplify the equation to only 1 variable.
2x-(5x-7)=4
Simplify
a. 2x-5x+7=4
b. -3x=-3
c. x=1
Solve for y
Plug your x into the y equation
y=5*(1)-7
y=-2
Check your answers
Plug your variables into the multi-varible equation
2*(1)-(-2) = 4
What is the limit as x approaches 1 when x-1 divided by absolute value of x-1?
The limit doesn't exist. Consider approaching from the left (->) and the right (<-) [I'm assuming x is real, but if it is complex the same holds].
(->) : (x-1) / |x-1|. Since x<1, |x-1| = 1-x. So, we have
(x-1) / (1-x) = (x-1) / -1(x-1) = -1
(<-) : (x-1) / |x-1|. Since x>1, |x-1| = x-1. So, we have
(x-1) / (x-1) = 1
But recall that limits must be unique and clearly 1 doesn't equal -1. Thus, the limit doesn't exist.
Simplify 3X plus 2Y plus 6Z equals 24?
You can't simplify it any further than
3x+2y+6z=24, unless you have been given values of x,y and z or other equations to find x,y and z.
It has no asymptote. 3x is a straight line and therefore is a tangent to itself.
How do you factor a times a cubed plus 2 times a times b plus b squared?
the answer to factorising (a x a3 + 2ab + b2) would be (a4+2ab+b2)
Find the value of x in the equation x plus 5 equals x plus 45?
There is no numerical value for 'x' that can make this a true statement.
Factor the expression 6x3y 6x2y2 plus 2x2y?
I'm guessing its written like this---> 6x3y - 6x2y2 + 2x2y?
Well, I'm guessing the answer is2x2y(3x - 3y + 1)
This problem could not be solved if it was prime..
Prime: If the letters and numbers don't match. (This is simply talking about the exponents)
How would i Solve the system x plus y equals 9comma -3 equals 2x - y?
Rearrange the second equation to read 2x - y = -3
Add the two equations: 3x = 6:
Divide by 3: x = 2 so y = 7
