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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 so you slove y equals 6x and 2x plus 3y equals -20 by using the system of substitution?
To solve a system of equations using substitution you solve one of the equations for one of the variables then substitute that into the other equation to solve for the other variable.
For example.
y = 6x
2x + 3y = -20
The first equation has already been solved for y. So, you simply substitute that into the second equation.
2x + 3(6x) = -20
2x + 18x = -20
20x = -20
x = -20/20 = -1
Now you have solved for x. You can substitute your answer for x back into the first equation to solve for y.
y = 6x = 6(-1) = -6
Putting it all together...
x = -1
y = -6
What is the weakness and limitations of integration by substitution method?
Quite simply that, like any general-purpose integration method, it works only for some specific cases. In this case, not all expressions can be simplified into something integrable simply by substituting something.
What is the remainder when 2x cubed -3x squared plus x plus 5 is divided by 2x -1?
f(x) = 2x3-3x2+x+5
f(x) becomes f(0.5) because 2*0.5-1 = 0
f(0.5) = 2*(0.5)3-3*(0.5)2+0.5+5 = 5
So the remainder is 5
What is the general solution of a differential equation?
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.
What is x in the problem 2x 5y-6x-9y?
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.
Furthermore, a single linear equation in two variables cannot be solved for either of the variables.
Percent of increase from 36910 to 43024?
36910 is 100 percent 36910 / 43024 = 1.1656 That is an increase of 16.56 percent.
not much
LIAR. we do it in maths so ner ner ner ner ner.
Up until calculus, you can essentially deal with functions of a constant slope (a straight line). I.e.: y = 1/3x + 9. We know the slope on that function is 1/3. However what is the slope of y = e5x+sin(9x)? It's y' = 5e5x+9cos(x)
You should also know trigonometry and can use some trig functions to deviate from constant slopes, but you really don't know how to find the slopes. What is the slope of y = cos(9x)? It's y' = -9sin(9x)
Calculus teaches you two fundamental operations (and a whole lot of application with these two operations):
1) How to find the slope of a curve (the derivative)
This let's you find the maximum and minimum's of a function, optimize problems (i.e., figure out how to use the least amount of materials given some parameters), and has and endless amounts of utility.
and
2) How to find the area under a curve. (the integral)
This let's you find the totals for a number of problems (example, find the total accumulated amount of money, given a function that relates time and money), let's you calculate the real areas, volumes, etc. of realistic surfaces (not everything is shaped like a box or triangle), and also has endless amounts of utility.
If you want to go into any science, engineering, research field, or just any technical field, you are going to want to have calculus. It is a fundamental subject, that teaches you operations (must like addition and subtraction), finding thedeterminateand integrals are too operations.
How do you factor x to the fourth power minus x to the second power minus 12?
x4 - x2 - 12 = (x2 + 3) (x2 - 4)
And (x2 - 4) = (x + 2) (x - 2)
So the original expression = (x2+ 3) (x + 2) (x - 2)
What are the possible values of x in this equation 4x plus 1 12?
if
4x+1=12
4x+1-1=12-1
4x=11
4x/4=11/4
x=11/4
What is the solution to x if 4x-62(2x-4)?
There can be no solution since there is no equation (nor inequality) in the question.
