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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 definition of class 100 Area?

A class 100 (ISO 5) cleanroom is an environment that meets specific guidelines for airborne particle contamination. It is designed to have a low level of particles per cubic meter to ensure a controlled environment for sensitive manufacturing processes, such as semiconductor production or pharmaceutical manufacturing.

Is parallel to What is the value of y if y is 70?

This must be a trick question. Surely, the answer is not simply 70!

What irrational number is between 5 and 7?

An irrational number between 5 and 7 is the square root of 35 (which is = 5.9160797831.....). This number can't be expressed as terminating decimals, which means that it goes on forever.

An irrational number is an irrational number is any real number that cannot be expressed as a simple fraction or terminating decimals.

7 plus 7x--2x plus 3?

7 plus 7x--2x plus 3 is:

7 + 7x + 2x + 3 = 0

9x + 10 = 0

9x = -10

x = -10/9 = -1 1/9

What is the ect button used for 1994 Toyota Camry?

Stands for Electronic Controlled Transmission. The button switches the transmission between Normal & Power Mode. The Power Mode changes the shift pattern to allow the transmission to up-shift at a higher RPM. For instance the Normal Mode up-shift will occur at 37 mph and the Power Mode up-shift will occur at 47 mph. Fuel economy will suffer in the Power Mode. Normally you would leave it in the Normal Mode unless you want a little more sporty feel.

Prove that negative of an irrational number is an irrational number?

Assume = a/b with positive integers a und b. Now, for some natural number n define the functions f and F as follows. Strictly speaking, f and F should each have n as an index as they depend on n but this would render things unreadable; remember that n is always the same constant throughout this proof. Let f(x) = xn(a-bx)n/n! and let F(x) = f(x) + ... + (-1)jf(2j)(x) + ... + (-1)nf(2n)(x) where f(2j) denotes the 2j-th derivative of f. Then f and F have the following properties: f is a polynomial with coefficients that are integer, except for a factor of 1/n! f(x) = f(-x) 0

What are the first three common multiples of 4 and 16?

16, 32, 48.

Since 16 is divisible by 4. Every multiple of 16 is also a multiple of 4, so I just took the first 3 multiples of 16.

How do you find compound interest?

The formula for compound interest is:

A = P * ( 1 + ( R / N ) )^( N * T )

where

A = amount of money accumulated after n years, including interest.

P = principal amount (the initial amount you borrow or deposit)

R = annual rate of interest (as a decimal)

N = number of times the interest is compounded per year

T = number of years the amount is deposited or borrowed for.

Example:

"John Doe invests $100 in an account earning interest at a rate 4% every 6 months. Calculate the value of his investment a the end of 4 years." ...

A = amount of money accumulated after n years, including interest.

P = 100

R = 4 / 100 = 0.04

N = 2

T = 4

so...

A = P * ( 1 + ( R / N ) )^( N * T )

A = 100 * ( 1 + ( 0.04 / 2 ) )^( 2 * 4 )

A = 100 * 1.02^8

A = 100 * 1.171659381

A = 117.17

So the answer is $117.17
Compound interest formula is A = P (1 + r/n)nt. P is principal, r is annual rate of interest, t stands for number of years, A is the amount, including interest, that accumulates over x amount of years, and n is the number of compounding per year.

How many orichalcum plus are there on kingdom hearts 2?

You can't get all the materials in the game, but if your trying to create the ultimawepon then you go to a moogle and find the pattern. You can tell what you need by the pattern. Then you go out and kill heartless and nobodies to get what you need. Hope this helps! ;)

What is 0.48 repeating as a fraction in simplest form?

Call your number "x". Write the following:x = 0.484848...

100x = 48.484848...

Subtract the first equation from the second equation. This will give you "x" as a fraction. See if you can simplify it.

Why does calculus work?

becasue it was designed cleverly

and the area of a rectange is width times height

What does 3.18 equal?

It equals exactly 3.18, neither more nor less.

What caused Malcolm X to change his ideas about integration and segregation?

He made a pilgrimage to mecca and saw people of all nationalities living together peacefully

Most times around the batting order in one inning?

The most at bats in one inning is 3. This means that a single player would have made it to the plate to bat three times in a single inning.

How do you find marginal average cost?

Marginal cost comes from the costs of producing just one more of something.

One Inventor of Calculus?

Isaac Newton and Gottfried Liebniz invented it simultaneously and there was a bitter rivalry between the two (the most animosity being on the Newton to Liebniz ratio) until their deaths as to who really invented it even though it was really both

Metric prefix meaning one tenth?

The metric prefix meaning one tenth is deci as in decimeter

What limits exist on our rights?

Permanent residents cannot vote, and some states bar them from getting medicaid as medicaid is subsidized by the federal gov. but is distributed as the state sees fit

What is a disadvantage and advantage of use an equation instead of a graph or table?

Advantage: Graphs provide a more visual representation.

Disadvantage: Equations are usually more accurate.