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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 is the domain and range of y equals x?
The domain of a function represents the set of x values and the range represents the set of y values. Since y=x, the domain is the same as the range. In this case, they both are the set of all real numbers.
Rewrite log s equals t in the form ax equals y?
If log10s = t, then t10 = s
More generically:
If logab = c, then ca = b
When the discriminant is negative will the graph of the function cross or touch?
The graph will cross the y-axis once but will not cross or touch the x-axis.
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3x-y equals 3 y equals 2x plus 2?
3x - y = 3
y = 2x + 2
Put the value of y in the 1st equation:
3x - y = 3 it will be -->
3x - ( 2x + 2 ) = 3
3x - 2x - 2 = 3
x - 2 = 3
X = 5
Put the value of X in the 2nd equation so as to find the value of Y :
y = 2x + 2
y = 2(5) + 2
y = 10 + 2
Y = 12
What does function of x equals function of -x mean?
It means that the value of the function at any point "x" is the same as the value of the function at the negative of "x". The graph of the function is thus symmetrical around the y-axis. Examples of such functions are the absolute value, the cosine function, and the function defined by y = x2.
x2=18x-80 (im guessing you are trying to find x)
x2-18x+80=0
(x-10)(x-8)=0
Therefore: x = 10, 8
What do x-t graphs look like for constant velocity?
The x-t graph can't tell you anything about direction, so you can only make
observations regarding speed, not velocity.
For constant speed, the x-t graph is a straight line. The slope of the line is
numerically equal to the constant speed.
You can't. That's as simple as it gets unless it's a two sided equation, like x2 - 1 = 0.
There is not equal sign, therefore is not an equation and you really can't solve for anything. If you are asking how to factor it however this is how you do so:
(x+1)(x-1).
To check your answer, you must foil:
x^2 -x+x-1
x^2-1
2x plus 5 -25 what is the product of x?
There is insufficient information for us to even begin to understand this question. Please edit the question to include more context or relevant information.
2x + 5 - 25 is an expression, not an equation and so cannot be solved. Furthermore the question asks for the product of x. The product requires two (or more) numbers: you cannot have a product of just one.
How do you solve 2e minus 12 equals 7e plus 8?
2e - 12 = 7e + 8Add 12 to both sides: 2e = 7e + 20
subtract 7e from both sides: -5e = 20
divide both sides by -5: e = -4
How do you factor x squared minus x plus 2?
x^(2)- x + 2
(x -2)( x + 1)
NB This does NOT factor becasue '-2' X (+)1 = -2 ( as the middle term.
Since the middle term is '-1x' , then '-1' Not equal to '-2'.
However, x^(2) - x -2 does factor to
( x - 2)(x + 1)
Does every function have a domain and range?
yes, bcoz evey function gives some output for input. Except constant function.
How long does it take to count to a trillion adding 1every second?
A trillion seconds.
1 day = 86400 seconds.
Assuming 365.25 days in a year (it's actually slightly less), then 1 year = 31557600 seconds.
- In those countries that use the long scale (based on powers of a million) like Europe:
= 1018 ÷ (3.15576 x 107) years
≈ 3.1688 x 1010 years
or approx 311/2 thousand million years.
- In those countries that use the short scale (based on powers of a thousand plus one) like USA:
= 1012 ÷ (3.15576 x 107) years
≈ 31,688 years
or approx 311/2 thousand years.
