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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
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What happens to the graph of an ellipse when y is replaced by y plus 6?
The whole ellipse shifts down by 6 units.
Why is du infinitely small in calculus?
du refers to a differential part of u, which is infinitely small.
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.
5x the quantity x- 1 is equal to 3x the quantity x plus 9 What is x?
5(x - 1) = 3(x + 9)
Eliminate parentheses on the left side:
5x - 5 = 3(x + 9)
Eliminate parentheses on the right side:
5x - 5 = 3x + 27
Subtract 3x from each side:
2x - 5 = 27
Add 5 to each side:
2x = 32
Divide each side by 2:
x = 16
What is the reason to use a math?
- While shopping to add the total cost or calculate the discount.
- In Computer Programming.
- In Rocket Science.
- To calculate the distance between banks of a river before crossing it!
- To calculate the time of journey from one place to another.
- ...And anything you can think of!
What are the solution sets 4s2 plus 12s plus 9 equals 0?
The solutions are: s = -3/2 and s = -3/2 they have equal roots
How do solve 7x plus y equals 8 in y equals mx plus b form?
7x + y = 8
Subtract 7x from each side of the equation:
y = -7x + 8
When was Differential Equations - journal - created?
Differential Equations - journal - was created in 1965.
5x2+7x = 12
5x2+7x-12 = 0
(5x+12)(x-1) = 0
x = -12/5 or x = 1
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.
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.
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).
