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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 step by step answer to x plus 4divided by x to the second power 12x 44?
The lack of brackets here makes it impossible to work out what this mathematical expression really is. For example "x plus 4 divided by x.." could be x + 4/x or it could be (x+4)/x .. and so further.
The number 51 is not the square of a whole number. It is the square of 7.1414.
What couse should you opt after bsc maths msc maths or bed maths?
A course in spelling, or typing, obviously!
How do you do fractions with simplest form?
Say you have 4/10 2 goes into 4 2 time and 10 5 times so is 2/5 when you have an even and a odd you can't simplify
Where do you put parentheses to make 2 plus -3 by 4 equals -10?
You don't need to put any in as BODMAS tells you to do the multiplication first, but to clarify this you can put them around the multiplication:
2 + -3 x 4 = 2 + (-3 x 4)
The strict answer to this question is that it is an equation. Being an accomplished mind-reader I believe you wish to know the value of x. So add 2x to each side to get -17=6+x, then subtract 6 from each side to get -23 = x
How do you do compositions of functions backwards?
I am not entirely sure what you mean; in general, if you change the order of composition, you will usually get different results: f(g(x)) is usually NOT equal to g(f(x)).
If: x -y = 2 then x = 2 +y
If: x^2 -4y^2 = 5 then (2 +y)^2 -4y^2 -5 = 0
Removing brackets: 4 +4y +y^2 -4y^2 -5 = 0
Collecting like terms: 4y -3y^2 -1 = 0
Divide all terms by -3: y^2 -4/3y +1/3 = 0
Completing the square: (y -2/3)^2 -4/9 +1/3 = 0 => (y -2/3)^2 = 1/9
Square root both sides: y -2/3 = -1/3 or +1/3
Add 2/3 to both sides: y = 1/3 or 1
By substitution into original equation intersection are at: (7/3, 1/3) and (3, 1)
What is 6 plus 17y equal 15 plus 14y?
If: 6+17y = 15+14y then 17y-14y = 15-6 so 3y = 9 and then y = 3
Why is ddx the derivative operator for Calculus?
It is the operator used by Gottfried Liebniz, who developed calculus (in parallel with Newton).The "d" denotes a difference and, the full representation, dy/dx (not ddx), is used to represent a change in y divided by (per) a change in x. However, calculus goes further than comparing simple changes but uses these changes for smaller and smaller changes in x, that is, the limit of the change as dx approaches 0.
Java programme to find area of a circle?
well, the formula is A=pi(r)^2 r=radius A=area ^=to the [insert number here] power pi=3.14...
What are two numbers that have a sum of 390 and a product of 34304?
Call one of the numbers x. Since the sum is 390, the other must be 390 - x. Thus we have x(390 - x) = 34304. Solving this quadratic equation, we find the numbers are
134 and 256.
What is the answer to Solve 3 x x 1 for x?
Wiki answer limits your ability to insert operators in questions, so please write out the word "equals" or "plus" as it is necessary.
Can you make a 4banger in to a v6 in an Alero and what all would it take?
Change engines. It would take a donor car and lots of work by someone who knew what they were doing. Forget going that route. Sell the 4 cylinder and buy a V6 if that is what you want.
What is the integral of x divided by a 7?
First just "factor" out the constant: (1/7)
∫ x/7 dx = 1/7
∫x dx
The integral of xn is xn+1/ (n+1)
In this case, our n=1 so:
x(1+1)/(1+1) = x2/2
Don't forget about the 1/7 we factored out:
(1/7)(1/2)(x2) = x2/14
Therefore the answer is (don't forget your C):
∫
x/7 dx =
x
2/14 + C
