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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 does it mean when a variable is written x?
It doesn't make much difference which letter or letters you use as variables, so it doesn't really mean much.
A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1
Add the two equations: A*sin(x) + B*sin(x) = 2
(A+B)*sin(x) = 2
sin(x) = 2/(A+B)
x = arcsin{2/(A+B)}
That is the main solution. There may be others: depending on the range for x.
How do you complete the square with the equation -1x 2 -5x plus 4?
-1x^2 - 5x - 25/4 = -25/4 - 4x^2 + 5x + 25/4 = 25/4 + 4
(x + 5/2)^2 = 41/4
What is the name of a shape with 207 sides?
Most scientists would call it a 207-gon, but you could use dihectakaiheptagon
well, simplifying:
6y'+14y=0
Take y=c*e^(rt), substitute and divide by c*e^(rt):
6r+14=0, r=-7/3
y=c*e^(-7t/3), no oscillation occurs.
However, if you meant y''+6y'+13y=0,
Use the same methods:
r^2+6r+13=0
Solving, r=-3 plus or minus 2i
substituting r and using superposition principle.
y=(e^(-3t))(c_1cos(4t)+c_2sin(4t))
Frequency is probably period which is 2pi/4=pi/2, and taking the limit as t approaches infinity e^(-3t) is zero so the sine and cosine terms don't matter. So y approaches zero as t approaches infinity.
What is the Line of symmetry of x squared plus 8x minus 20 equals 0?
x = -4
The equation to find this is -b/2a with 8 being the b and 1 being the a.
How do you solve the problem 0.25m plus 3 4?
Unfortunately, limitations of the browser used by WA means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc.
Something seems to be missing between 3 and 4 at the end of the question.
What is the uses of maths in secondary level?
The answer depends on secondary level of WHAT! Please edit the question to include more context or relevant information.
Are 4y-3x equals 1 and 2y equals 3 over 2x -14 perpendicular or parallel?
They are parallel because the slope has the same value in both equations.
What are the ratings and certificates for Elementary - 2012 Solve for X 2-2?
Elementary - 2012 Solve for X 2-2 is rated/received certificates of:
USA:TV-14
How do you find the x-intercept of y equals 1 over 2x minus 2?
You let y=0 (sub this into the equation), then work out what x equals. i.e 0=1/(2x)-2 becomes 2=1/(2x) etc...
What are the order pairs for 6x - 10y equals 2 and 2x plus 5y equals 9?
x = 2 and y = 1
The lines intersect at the point (2, 1)
Relativity, it's been verified in thousands of experiments over the past 70 years.
No serious question remains, and it's one of the relatively few 'theories' that have
graduated to the status of 'law'.
What number is between 0.71 and 0.85?
0.72
0.73
0.74
0.75
0.76
0.77
0.78
0.79
0.80
0.81
0.82
0.83
0.84
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc.
If this is all you have then you are likely talking about graphing a line for all possible values of X in an XY plot. For example if X = 0, Y = 5 or if X = 1, Y = 4 and so forth. You could then plot this line.
What is 21 minus 5X divided by 2 10X plus 6 divided by 3?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y2 of (x + y) 2.
There is, for example, no operator between 2 and 10X.
