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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
How many zeros does infinity have in it?
Infinity isn't an actual number; it's a concept. How many seconds are there in "forever"? An infinite number. You can't count them, because they just keep getting bigger, and bigger, and bigger, and they never end.
If you had a number,
100000000000000000000, then
100000000000000000001 would be a bigger number. So would
999999999999999999999.
If you have ANY number, you can always find a bigger number. So infinity is written like a sideways 8 (∞), because it can't be written with zeros or ones or any other number you know.
What is the integral of x divided by sq-rt of x plus 2?
Integral of x dx / sqrt(x+2)
Make the substitution sqrt(x+2)=u
(x+2)^(1/2) = u
(1/2)(x+2)^(-1/2) dx = du
1/2(x+2)^(1/2) dx = du
1/2sqrt(x+2) dx = du
1/sqrt(x+2) dx = 2 du
Integral of x dx / sqrt(x+2) = Integral 2 x du
sqrt(x+2) = u
(x+2)=u^2
x=u^2-2
Integral 2 x du = Integral 2(u^2-2) du
= Integral 2u^2 du - 4 du
= 2 u^3/3 - 4u + C
= (2/3) (x+2)^(3/2) - 4 sqrt(x+2) + C
Is 3 6 a solution to this system of equations yequals3x - 3 3x - yequals3?
(3, 6)
-------------------Let's see.
(6) = 3(3) - 3
3(3) - (6) = 3
6 = 9 - 3
9 - 6 = 3
6 = 6
3 = 3
========== (3, 6) is a solution to the system of equations. The only solution? I do not know.
There are 2.5 feet in 30 inches. 30 inches x 1 foot/12 inches = 2.5 feet 1 foot = 12 inches
Is there a position called Wing Guard?
Wing Guard term is mostly used when a team is playing defense. In offense he could be either point guard or shooting guard!
Solve this equation using subtitution x plus 7y equals 39 and 3x subtract 2y equals 2?
From first equation: x = 39 - 7y
Substitute this in second equation: 3(39 - 7y) - 2y = 2
ie 117 - 21y - 2y = 2
ie 115 = 23y
ie y = 5, making x = 4.
I don't know, what?
What do you do if a particular integral you want to evaluate is not listed in the table?
Two main options.
- Carry out numerical integration - there are various methods - the trapezium method being one of the simpler ones; or
- find two integrable functions such that one is greater than the given function and the other is smaller than it. Then your integral will lie between the integrals of these two functions.
Is x equals 1 a solution of the equation 2 - 8x?
No.
That is because 2 - 8x is an algebraic expression, not an equation. And since it is not an equation, it does not have a solution.
How do you make an infinity sign on a mac?
There is an app called the "character viewer"; see if you can find an infinity sign there.
How do you calculate the size ac for your home?
The answer will depend on where your home is: I suspect that there will be a big difference between a home in the Arctic and one in the Gulf States. That will determine the range of ambient temperatures. It will also depend on what you consider to be a desirable temperature.
Other factors to consider: insolation and solar gain, insulation and air circulation, whether or not there are other steps taken to lower the ambient temperature. For example, a house in the middle of trees will be cooler than one surrounded by lawns, and that will be cooler than one with concrete all around.
