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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
2 - x > 3x + 10
2 - x + x > 3x + x + 10
2 > 4x + 10
2 - 10 > 4x + 10 - 10
-8 > 4x
-8/4 > 4x/4
-2 > x or x < -2
hyperbola
xy=total cost
If you have a 0 in a mean how do you solve?
When calculating mean, you sum every number in some data set and divide by how many numbers are in the set.
For every zero added to the data, the sum doesn't change but the number which you divide the sum by increases by one.
For example, if your homework grades in a class are:
82, 76, 90, 85, 92
Your mean homework grade then is
(82 + 76 + 90 + 85 + 92) / 5 = 425 / 5 = 85
Say you forget to do your next homework assignment, so you get a zero. To calculate your new mean grade, instead of adding up the numbers again, just increase the denominator by one:
425 / (5 + 1) = 425 / 6 = about 71
What are the examples of Successive differentiation and leibnetz's theorem?
pooo000ooo000ooo000ooo000ooo000ooo000ooo000ppp
well y=.04x is most likey a linear equation with the .04 as the slope of the line and there is no y intercept or the y intercept is 0
factor x2-14x+46 What two numbers multiply to give 46, and (since the 14 is negative) are 14 apart?
Well, 46 only factors into [1 2 23 46], so there are no integer answers.
This calls for the quadratic formula
(-b±√(b2-4ab))/2a
(14±√(196-184)/2
(14+√(12))/2 and (14-√(12))/2
(14+3.464)/2 and (14-3.464)/2
17.464/2 and 10.536/2
8.7321 and 5.2679 are both approximations of the answers. ■
What does x squared plus 16 t plus 47 cubed equal?
This equation has no meaning. 47 cubed is 103,823, but the rest of the equation is worthless without a value for x and t. At present, X and T do not have values, so you can not evaluate this expression.
How do you factor x squared plus four x?
You don't, if you're only looking for real number results. If you are including imaginary numbers, x2+4 = (x+2i)*(x-2i).
How do you determine a slope intercept equation?
Solve for y, getting the equation into the form of y = mx + b. m will then be the slope, and b will be the y intercept.
How many number of cubic meters are in a cubic millmeter?
1m = 1000 mm
1 cu m = 1m x 1m x 1m
= 1000mm x 1000mm x 1000mm
= 1,000,000,000 cu mm
=> 1 mm3 = 1/1000000000 m3
Take the derivative of the equation with respect to x:
dy/dx = d(x^2-2sin(x)+3)/dx
=d(x^2)/dx-2*d(sin(x))/dx+d(3)/dx
=2x-2*cos(x)
That's your tangent equation.
At x=0 ---> 2*0-2*cos(0) = -2
There's your slope.
What is parallel and skew line?
Parallel lines go the same way and are always the same distance from each other (eg you and a mate walking side by side).
Skew lines pass each other but don't meet, eg when you walk under a bridge and the train passes over. You are heading different ways, but you don't actually (just pass by)
