0
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
Examples of y equals mx plus b?
Use same value on both sides. y=6 mx=4 b=2. one example. y would be the same as other 2 added.
What is an inverse relation and how do you find an inverse relation given a function?
Given a function that is one-to-one and onto (a bijection), an inverse relationship is a function that reverses the action of the first function.
A simple example to illustrate:
if f(x) = x + 2, then g(x) = x - 2 is its inverse. fg(x) = x = gf(x).
To find an inverse relationship of a function f(x)
- write y = f(x) as a function of x
- swap x and y
- make the [new] y the subject of the formula
- that is the inverse function.
Going back to f(x) = x + 2
write y = x + 2
swap: x = y + 2
make y the subject of the above equation: y = x - 2
and so f'(x) is x - 2 where f'(x) represent the inverse of f(x).
What is the slope of 5x-y plus 3 equals 0?
5x - y + 3 = 0can be rewritten as y = 5x + 3
and so the slope is the coefficient of x which is 5.
How many solutions are in x2 plus 2x plus 3 equals 0?
None because the discriminant is less than zero
How do you calculate the limit of e5x -1 divided by sin x as x approaches 0?
You can use the L'hopital's rule to calculate the limit of e5x -1 divided by sin x as x approaches 0.
That's a linear equation in 'x'.
You didn't ask for the solution, but here it is anyway:
7x + 2 = 23
Subtract 2 from each side:
7x = 21
Divide each side by 7:
x = 3
Does a pendulum undergo simple harmonic motion?
A simple pendulum undergoes simple harmonic motion only for small amplitudes because for small amplitudes the motion almost reduces to a straight line motion. Simple harmonic motion means motion on a straight not on curves
What is the solution of the equation 124x equals 7?
124x = 7
Divide both sides by 124: x = 7/124 = 0.056
How many years will it take to spend 1 billion?
How long it takes to spend any amount of money depends on how fast you spend it, on whether you are frugal or frequently buy large expensive items. Governments can spend a billion in a matter of days, or even less, depending on what government activity you are looking at.
Which direction would the graph of yx 2 3?
The Answers community requires more information for this question. Please edit your question using words eg "plus", "divide", "equals" because the browser used for posting questions rejects most mathematical symbols.
What is the value of x in the following equation 4(2-x) 153(x 3)?
Without an equality sign and not knowing the plus or minus value of 3 it can't be considered to be an equation.
