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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 linear graph for y equals -x plus 3?
you can try doing -3+3, -2+3 or just substitue the "x" with numbers that go in order like 5,4,3,2,1
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
What are some ordered pairs that the equation y equals 8x relate to?
This just means to list values of x and then plug them into the equation to find the value of y for that x.
so in (x,y) form:(1,8) (2,16) (3,24) and so on.
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.
