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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

Is y equals 2x plus 1 a function?

No. That is an equation. A fraction can be plugged into it for x or y. An example of a fraction is 1/2

How many solutions 4x2 plus 8x plus 3 equals 0?

Start with the equation 4x2 + 8x + 3 = 0.

Invoke the quadratic equation:

x = [-b ± √(b2 - 4ac)]/2a, where a = 4, b = 8, and c = 3.

Plug in the values for a, b, and c and solve:

x = [-8 ± √(82 - 4*4*3)]/2*4,

x = [-8 ± √(64 - 48)]/8,

x = -1 ± √(16)/8,

x = -1 ± 1/2,

x = {-1/2, -3/2}.

Andromeda is one?

A Greek queen of Mycenae, wife of Perseus and mother of seven sons: Perses, Alcaeus, Heleus, Mestor, Sthenelus, Electryon, and Cynurus as well as two daughters, Autochthe and Gorgophone.

Is it possible for graph of function to cross the horizontal assymptotes?

When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.

How do you solve for z if 15yz?

There is no equation (or inequality) to solve. 15yz is an expression and an expression cannot be solved.

Factorise 4xsquare plus 12x plus 5?

4x2 + 12x + 5 = 4x2 + 2x + 10x + 5 = 2x(2x+1) + 5(2x+1) = (2x+1)(2x+5)

What is 2x plus 4 equals 8?

2x+4=8
2x=8-4 (you subtract 4 on both sides)
2x=4 (you then divide by 2 on both sides)
x=2

How old is Cameron Escalante?

Cameron Escalante is 19 years old (born September 19, 1997).

What is the differentiation of y with respect to x for x equals y exponent y?

x = yy differentiate both sides with respect to x

dx = (y * yy-1) dy

dy/dx = y * yy-1

dy/dx = yy = x

hence differentiate of y wrt x is x only