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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 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.
How do you find the root of 3x²-5x plus 1 equals 0 by quadratic formula?
a=3 b=5 c=1
D=b2-4ac
D=25-12
D=13
x=-b +- Underoot of D The whole divided by 2a.
x=-5+-Under root of 13 Divided by 6
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.
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
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)
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 -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 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.
What is rage mathematically speaking?
a notation showing all of the y-values produced by the indicated function.
Domain is a notation showing all of the x-values that produce real answers.
What couse should you opt after bsc maths msc maths or bed maths?
A course in spelling, or typing, obviously!
The number 51 is not the square of a whole number. It is the square of 7.1414.
How can the graph of y equals kx be interpreted for different contexts?
It is a straight line through the origin and, if k > 0 reflects a direct relationship between x and y. This means that each unit increase in x is associated with y increasing by k.
If k < 0 it reflects a direct but negative relationship and this means that each unit increase in x is associated with y decreasing by k.
If k = 0 then the result is the x-axis. This means that changes in x are not associated with changes in y.
None of the above imply causation.
