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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 x intercept of 3y equals 18?
3y =18
y = 6
That is a line intercepting y axis at 6 but parallel to he x axis - there is no x intercept
- it never crosses the x axis
What is the value of x in 6-3x equals 5x-10x plus 12?
6x - 3x = 5x - 10x + 12
6x - 3x - 5x + 10x = 12
8x = 12
8x/8 = 12/8
x = 12/8 = 3/2
x = 1.5
Litholog as the name suggests is the systematic record of lithology in a vertical section or a core.
How would you graph 2x plus 3y equals 6?
Find x when y = 0: 3y = 6 so y = 2. Mark the point (0,2) Find y when x = 0: 2x = 6 so x = 3 Mark the point (3, 0) Draw a line joining these two points and extend in both directions.
How can you write a function that represents all possible antiderivatives of a given function?
Given a function f(x) find any anti-derivative, F(x). The set of all possible derivatives is obtained by adding a term not involving x which can take any value.
So F(x) + C is a general derivative, where C can take any value.
y = f(x) = 2x2 - 3x + 10
dy = (4x - 3) dx
Note:
It's possible that the function in the question may have been f(x) = (2x)2 - 3x + 10 .
If that's the case, then
dy = (8x - 3) dx
2 divided by x plus 4divided by 3 equals 2?
(2/x) + (4/3) = 2
Multiply each side of the equation by 'x':
2 + 4x/3 = 2x
Multiply each side by 3:
6 + 4x = 6x
Subtract 4x from each side:
6 = 2x
Divide each side by 2:
3 = x
5X + 7 = 42
subtract 7 from each side
5X + 7 - 7 = 42 - 7
5X = 35
divide both sides integers by 5
(5/5)X = 35/5
X = 7
----------check in original equation
5(7) + 7 = 42
35 + 7 = 42
42 = 42
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