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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
Yes, y=3 is a linear function.
In fact, its graph is a horizontal line (parallel to the x axis), because it sets a constant value for y (for all values of x, y=3).
How do you sketch the graph for x plus y equals 65?
subtract the x to the other side to get y=-x+65. its a straight line crossing the y-axis at 65 with a slope of -1.
What is l nx plus one half ln y minus 5ln z as a single logarithm?
ln(x times root(y) / z5)
ln(x times root(y) / z5)
ln(x times root(y) / z5)
ln(x times root(y) / z5)
What does the second order differential equation represent graphically?
actually it represents the concavity or convexity of a curve
What is x if x cubed plus eight equals zero?
x3 + 8 = 0, then x3 = -8, therefore x = -2
-2 x -2 = 4
4 x -2 = -8
What equation is 90 degrees right angle to the equation y equals 3x plus 5?
Any line with the equation of the form 3y = -x + c where c is any constant.
This is a point on the cartesian coordinate plane... (10,13)
What is the slope of y equals a nevative eightteen x plus seventeen?
When written in this form the number in front of the x or its coefficient is the slope of the line. slope is -18/1 It goes down 18 and to the right 1.
How do you solve 12y equals 125-2y?
12y = 125 - 2y
Add 2y to each side:
14y = 125
Divide each side by 14:
y = 125/14 or (112 and 13/14)
What is the mathematical technique called to solve 2x equals 5?
It's called "elementary algebra".
It looks like this:
2x = 5
Using the axiom "If equals are divided by equals, the quotients are equal.",
divide each side of the equation by 2:
x = 2.5
By making w in terms of x
4x + 4 + 14 = 54
4x + 18 = 54
4x = 54 - 18
4x = 36
x = 36/4
x = 9
Check:
4(9) + 4 + 14 = 54
36 + 18 = 54
54 = 54
∫ [f'(x)g(x) - g'(x)f(x)]/[f(x)g(x)] dx = ln(f(x)/g(x)) + C
C is the constant of integration.
