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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 slope of 3x plus y equals 16?

If: 3x+y = 16

Then: y = -3x+16 whereas -3 is the slope and 16 is the y intercept

Who pioneered calculus?

Calculus was pioneered by Sir Issac Newton, followed by Gottfried Leibniz.

Where can you find engineering resumes of job seekers?

You can advertise a job opening and request people supply you with a resume, you can call an employment agency to see who they have on file or you can go to job oriented websites to see who has a resume posted (such as careerbuilder.com monster.com or even craigslist).

How many boots you must take in order to be sure that you get a pair of boots that match if in that room there are 6 pairs of black boots and 6 pairs of brown boots and it's completely dark?

13 would be the answer if you were unable to differentiate between right and left boots. Most people say seven, but this is incorrect (the key word in the sentence is "PAIRS"), meaning that altogether there are 24 boots, and you must take one more than half of them in order to have a guarantee that there will be at least one pair.

However, if you are clever a more efficient answer would be 8. First you must separate the boots according to what foot they belong to. If you took 7 from one pile it would ensure that you have both colors for one foot. You would only need to take 1 boot from the other pile to complete at least 1 pair.

What is integration in mathematics?

Opposite of differentiation. Given the rate of change of something (for example, speed [which is rate of change of position] ) which might vary according to some formula, then integration is a way of calculating the total distance after a specified interval.

What does 999x58582 equal?

You seem to be unaware of the fact that you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.
The answer is 58523418.

How do you write 1.8 billion in numbers?

1,800,000,000.

1 billion has nine zeros, so to write 1.8 billion in numbers you would simply need to move the decimal point nine places to the right, which would give you 1,800,000,000.

How do you create an arc length exactley 24 long?

In calculus, arcs don't have to be curvy, they can be straight, so just draw a line segment that is 24 units long.

Three plus two divide by five time two?

3 + 2/5*2 perform multiplication the division then addition. 3+ 4/5, get rid of the fraction to make this easier. multiply everything by five, 15+4, which = 19

How many 4 number combinations can be made from four numbers?

If repetition is allowed and order is important, then you have essentially a base-4 number system, with the numbers ranging from 00004 to 33334. The quantity of permutations in this example is 44 = 256. If repetition is not allowed, but order is important, then it is 4! = 24.

* * * * *

The above answer is perfectly correct. But, as stated in the answer, for permutations. However, according to the mathematical definition of combinations (as opposed to permutations), the order is irrelevant to combinations. 1234 is the same as 1423 or 4213 etc. Consequently, there can be only one 4-number combination from 4 numbers

How do you graph y equals 2x plus 13?

first of all, y=2x + 13 is in the form of y= mx +b, so all you do is go up 13 units vertically on the coordinate plane and plot a point. Second, because m is your slope and 2 is in the place of the m, go up two vertically and over right one horizontally.

Is the number 0 a complex or real number?

It is a real number because for example water freezes at 0 degrees Centigrade

How do you i find the arc length of The equation is 3x43 - 332x23 from -27 to 216?

Please clarify the equation. It does not make sense.

In the hope that it might answer your question, I will determine the length of the curve (hereinafter length) y=3x^43-332x^23 from x=-27 to x=216. length=integral from -27 to 216 of √(1+(129x^42-7636x^22)^2)dx. Solve this by Google searching "definite integral calculator", then clicking on the first result, which should be wolframalpha. Plug in the values there and you will have your answer!