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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

Why do we take a limit in math?

There are situations in mathematics where the value of a function is not defined for some value of the argument but you can get closer and closer to a fixed value. In such cases a limit may be the appropriate solution for finding an answer.

What is the reason to use a math?

  1. While shopping to add the total cost or calculate the discount.
  2. In Computer Programming.
  3. In Rocket Science.
  4. To calculate the distance between banks of a river before crossing it!
  5. To calculate the time of journey from one place to another.
  6. ...And anything you can think of!

Is Y equals four thirds x minus 10 in standard form?

Yes,

y = mx +b is standard form

and

y = 4/3x - 10, is in standard form

y=y

m = 4/3

x=x

b = - 10

5x squared plus 7x equals 12?

5x2+7x = 12

5x2+7x-12 = 0

(5x+12)(x-1) = 0

x = -12/5 or x = 1

How many bbls would a 40 x 10 x 8 mud pit hold?

You do not specify the units of your pit, so I will assume feet. 40' x 10' x 8' is 3200 cubic feet. Multiplying by 123 (cubic inches per cubic foot) gives you 5,529,600 cubic inches. Dividing by 231 (cubic inches per US gallon) gives you 23938 US gallons. Dividing by 42 (US gallons per bbl) gives you 570 bbls.

All of this is without required temperature or pressure conversion, which would be required if you were actually dealing with oil, because oil's density changes with pressure and temperature.

How do you decide when a data pattern can be modeled well by a linear equation in the form y equals m x plus b?

Usually if there is only one x and one y,

you can isolate the y on one side, and you might be left with mx+b on the other.

Why all graph lies in x and y plane but not in z-plane?

The z-direction is used in upper level mathematics when the additional variable, z, is added for analysis. When this is done, equations are usually functions of x and y, with z being the dependent variable. Functions in the x-y plane are a special subset of the functions with x, y, and z, where z = 0.

Algebra, Calculus and other lower math courses typically only deal with the two variables, x and y, because, as many people will attest, it is hard enough just with two variables. Therefore it is enough for all the graphs to be contained in the x-y plane and to ignore the z-direction in order for students to learn basic concepts and ideas to be used in later math courses which may add the z variable (and potentially more variables in the more abstract math courses).

Uses of statistics in daily life?

sa mga ii mendel at darwin. ang sagot ay tae ni roilan. Peo ang pinaghalong pagmamahlan nina jasmin at von ay mas makakabubuti.. PAti narin ang kilikili ni ! OO kaw YOn. hahahha

What is the actual length of time on a lifetime warranty of a product?

It should actually be lifetime. But, you would need your receipt for purchase, a copy of the warranty, and the company would still need to be in business or readily contacted. Also, the damage would be included in the warranty, and not due to something that is excluded.

According to the laws in different states, a Lifetime Warranty is only good for the lifetime of that product not your lifetime. As each product varies from material to material as well as manufacturer to manufacturer so does its lifetime. Unless specifically noted otherwise, the lifetime of a product in some states can be as little as 3 years.