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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 purpose of finding derivative?
The purpose of finding a derivative is to find the instantaneous rate of change. In addition, taking the derivative is used in integration by parts.
What does x equal when x divided by 11 equals 13?
X/11 = 13
Just multiply through by 11 ( fully illustrated below )
11/1(X/11 = 13)11/1
X = 143
========check in original equation
143/11 = 13
13 = 13
=======checks
How to solve by using elimination methood 8x plus y -16 plus -3x plus y -5?
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", "times", "divided by", "equals".
Unfortunately, what you might have considered a pair of simultaneous equation, is being displayed to us as one expression!
If: y = 2 -2x -x^2 and y = 3x^2 +10x +11
Then: 3x^2 +10X +11 = 2 -2x -x^2
Or: 4x^2 +12x +9 = 0
Factorizing the above: (2x+3)(2x+3) = 0 meaning x = -3/2
When x = -3/2 then by substitution y = 11/4
Therefore point of contact is at: (-3/2, 11/4)
What is the derivative of ex2?
It might become easier if you split the problem in half. Since we know that d/dx[f(x)-g(x)] is the same as the derivative of d/dx[f(x)] - d/dx[g(x)], you can rewrite your problem as d/dx(e)- d/dx(2x). (it's common usage to write coefficients in from of variables, but that's just notation). The derivative of e is simply 0 (since e is a constant) and the derivative of 2x is 2.
so d/dx(e-2x)=0-2=-2
2712 plus 3x equals 96 plus x?
2712 + 3x = 96 + x
First, take away the x on the right side, and put a -x on the left:
2712 + 2x = 96
Now that x is only on one side, move the constant (2712) to the other in a similar way:
2x = -2616
Then divide both sides by 2, so you have x by itself.
x = -1308
How do you solve this equation - 9 - 2x plus x equals - 13?
-9-2x+x = -13
-2x+x = -13+9
-x = -4
x = 4
How do you calculate y equals 0.5x?
- y=0.5x is an equation that cannot be solved unless you have a known value for either y or x.
How do i solve x x-2 equals 7x?
assuming the gap before x-2 is a +, then x+x-2=7x, so 2x-2=7x, so 5x=-2, so x=-.4
If a equals 2.34 and y equals 8.92 what does axy equal?
There is no definite answer for what axy will equal to if we are not given x's value. If we were given the value of axy we could solve for x if only two variables are known, or if x were know we could solve for axy. We do know that axy will equal to 20.8728 multiplied by x's value.
(2.34)(8.92)x = axy
20.8728x = axy
You can try to factor the LHS to get:
(x - 3) (x - 1) = 0
we then know the two solutions are:
x - 3 = 0
or
x - 1 = 0
so, x = 3, 1.
What is the highest common multiple of 21 and 84?
The highest common multiple of 21 and 84 is infinity.
The least common multiple, on the other hand, is 84, while the greatest common divisor is 21.
x2 + 2x + 4 can be expressed in the form ax2 + bx + c, where a=1, b=2, c=4.
So you will be looking for two numbers that add to 2 [b], and multiply to 4 [ac]. Clearly, there are no two real numbers that can do this. Therefore the expression above cannot be factorised.
Why does the time period of pendulum does not depend on the mass of the bob?
T=2pi sqrt(m/k) here,
m=mass of the body which is oscillating
k=force or spring constant
k=m.w2 after substituting value of k in the first equation we get,
T=2pi/w
and hence we can see in any case it does not depend on the mass of the body as it cancels down when we put the value of k in the equation.
