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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
Can x-x be a binomial expression?
if the bar between the x's means multiply...
x2 is a binomial because if you have an x squared this indicates that...
x2 + 0x + 0 which is a binomial expression
How do you solve this problem it just says solve x2 plus 3y equals 7 3x plus y2 equals 3?
x2 + 3y = 7
3x + y2 = 3
3y = x2 + 7
y2 = -3x + 3
y = x2/3 + 7/3
y = ± √(-3x + 3)
If you draw the graphs of y = x2/3 + 7/3 and y = ± √(-3x + 3) in a graphing calculator, you will see that they don't intersect, so that the system of the given equations has not a solution.
How do you find out f in f-6over5 equals 0?
(f - 6) / 5 = 0
Multiply each side by 5:
f - 6 = 0
Add 6 to each side:
f = 6
Notice that (f - 6) multiplied or divided by anythingalso equals zero.
What does x equal in the equation -x plus 8 equals 14?
- x + 8 = 14
Subtract 8 from each side:
- x = 6
Multiply each side by -1 :
x = - 6
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
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)).
How do you solve linear inequality?
That's going to depend on what statement the inequality itself makes, and
on what you are required to find as a solution. There is no general rule for
every exercise that involves an inequality. Sadly, you have no other choice
but to use your brain every time.
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.
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)
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 solve -20 equals -4x plus 6?
-20 = -4x +6
add 20 to both sides
0 = -4x +26
4x = 26
x = 26/4 = 6.5
What is the anti derivative of e x2?
The integral of x^2:
f(x)= A . x^n
f´(x)= A . n . x^(n-1) = x^2
Hence, n must be 3 for (n-1)=2 which automatically means that A must be 1/2 in order for A . n= 1
Thus, f(x)=0,5 . x^3 (antiderivative)
0,5e . x^3
What is the x and y intercepts of -3x plus 5y equals -15?
-3x + 5y = -15
At the x-intercept, y=0:
-3x = -15 . . . . . x = 5
At the y-intercept, x=0:
5y = -15 . . . . . y = -3
How many solutions are possible for 2x equals 2y plus 2 and 2y equals 2x plus 2?
There are 0, or no solutions to these equations. If you rearrange each equation to look like an equation of a line, you will have the two lines:
y = x -1 and y = x + 1, which are two parallel lines. They do not intersect at any point, so there is no solution.
