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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
6c-18=4c
Why can rearrange this and simplify to 2c=18, which means that c = 9
What is a derivative of atrophy and is atropos a derivative of atrophy?
Atropos is the name of one of the Greek fates, along with Clotho and Lachesis. It is possible that atrophy is derivative of atropos, but not the other way around.
(3+2x)*(3-2x) = 9 - 4x2
[remember that (a+b)*(a-b)=a2 - b2]
What is the difference between x plus x and xx?
Say x is 5
so 5 + 5 = 10
where as 5 times 5 = 25
The difference is "x + x" is a addition and "xx" (x times x) is a multiplication.
A way of defining the sum from 1 to the number, similar to the factorial function but with sums, represented with the '?' symbol:
4? = 4 + 3 + 2 + 1 = 10
An easy simplification, known from Gauss, is to compute it with n(n+1)/2.
What is the volume of a cylinder if r equals 3 and x equals 12?
You should probably say what x represents if you want someone to answer this...
Is y equals 2x a linear function?
Yes it is. the two numbers will always have the same proportion to each other.
Do y equals 2x-1 and y equals 2x plus 1 have the same lines?
The lines are parallel, but not the same.
How do you do x raised to the 3rd power multiplied by x square?
x3*x2 = x5
Same base so just add the powers
Ingetral(dy) = y + c
(c is a constant. A point would have to be given to find the value of c.)
Is this symmetric with y x origin or all y 20x?
y = 20x is symmetric about the origin. (If you rotate it around the origin, it will look the same before it is rotated 360 degrees).
If y equals 3, 7 - 5y would be:
7 - 5(3)
Simplify.
7 - 15 = -8.
In conclusion, 7 - 5y = -8.
What is this 3x 5 equals 2y in standard form?
Ans1 : 3x - 2y = 5 (the x and y terms are on the left side while the constant is on the right side).
Ans2 : 2y=3x+5 (divide both side by 2)
y=(3/2)x+(5/2)
this is similar to standard equation of line y = mx + c
