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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
Assuming that by writing that equation as a question, you mean to ask how to solve it for x, that can be done as follows:
x2 + 4x - 6 = 0
x2 + 4x + 4 = 10
(x + 2)2 = 10
x + 2 = √20
x = -2 ± √20
How do you calculate the vertex on a function graph?
Example function.
Y = X2 - 4X + 5
set to 0
X2 - 4X + 5 = 0
X2 - 4X = - 5
Now, halve the linear coefficient, square it and add it to both sides
X2 - 4X + 4 = - 5 + 4
gather terms on the right and factor on the left
(X - 2)2 = -1
==============Vertex form.
(2, - 1)
=======Vertex.
What is the missing term in a proportion 5 is to 6 equals N is to 30?
There is no missing term.
N = 25
What Is The Standard Form Of x squared-5 equals negative 4xsquared equals 3x?
The first equality is: x2 - 5 = -4x2 which gives 5x2 - 5 = 0 which is equivalent to x2 - 5 = 0
The second equality is: -4x2 = 3x which gives 4x2 + 3x = 0
The two results are inconsistent.
2x-2/x^2+3x-4
Volume = pi*4.5707814972*2.285390749 = 150 cubic cm
Total surface area = (2*pi*4.5707814972)+(2*pi*4.570781497*2.285390749)
Area = 196.9028711 or rounded to 196.903 square cm
What is x y3 and y9 as an ordered pair?
Find an equation of variation where y varies directly as x and y equals 535 when x equals 140?
y=k*x
535=k*140
k=535/140=107/28
y=(107/28)*x
4a2 - 9a + 5 = 4a2 - 4a -5a + 5 = 4a(a - 1) - 5(a - 1) = (4a - 5)(a - 1)
What is the first 200 digits of Pi?
3.
1415926535
8979323846
2643383279
5028841971
6939937510
5820974944
5923078164
0628620899
8628034825
3421170679
8214808651
3282306647
0938446095
5058223172
5359408128
4811174502
8410270193
8521105559
6446229489
5493038196
hope this helps
What is the factor of 3x squared minus 4x minus 5?
3x2 - 4x - 5 does not have rational factors.
Its roots are x = [4 +/- sqrt(76)]/6 ie -0.7863 and 2.11963 (approx).
So the factors are (x + 0.7863) and (x - 2.11963)
sinx = sin0 = 0
tanx = tan0 = 0
you have 0/0 by you limit conditions
How long does it take to use 1 gigabyte one byte per second?
There are 1,073,741,824 bytes (230 bytes) in 1 gigabyte. So, do a few conversions and get:
60sec/1min; 60min/1hr; 24hr/1day; 365days/1yr...
So, it would take:
12,427 days, 13 hours, 37 minutes, 4 seconds.
Or
34 years, 17 days, 13 hours, 37 minutes, 4 seconds.
Solve this equation -x plus 3 10?
There appears to be no equation in the question: only some disjoint expressions. Expressions cannot be solved.
What was Gottfried Wilhelm Leibniz's contribution to mathematics?
Leibniz is well known for his development of calculus independently of Isaac Newton. In the 20th century his Law of Continuity and Transcendental Law of Homogeneity were found to have mathematical implication and the binary number system was also refined thanks to him. Finally, he invented the Leibniz wheel which is used in the arithmometer.
Most of his contributions are to do with both science and mathematics, although he is most known for developing calculus.
How to solve equations with variable on each side?
There are different techniques, depending on the specific situation. In the simplest case, you transfer all the variables to one side. Here is an example:
4x = 2x + 16
Subtract "2x" on each side:
2x = 16
Now you have a single variable, on only one side.
What is the solution for x 2 plus 5x plus 6 0?
If you mean: x2+5x+6 = 0 then the solutions are x = -3 and x = -2
How do you solve a 3 x 3 magic square that equals 60?
Standard 3 x 3 has a common total of 15, so multiplying each cell by 4 would create such a square:
16/36/08
12/20/28
32/04/24
If you want the cells to contain consecutive numbers then you have to use 16 - 24:
19/24/17
18/20/22
23/16/21
