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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
Show me an absolute function graph?
It is not possible to show an image here but you can see some examples at the attached link.
What is the area of a right triangle when A equals 5 and B equals x plus 5?
It depends on which sides A and B represent: the two legs, or one leg and the hypotenuse.
What is the solution of the inequality -6x-17 greater than or equal to 8x plus 25?
-6x-17 ≥ 8x+25
Add 17 to both sides:
-6x ≥ 8x+42
Subtract 8x from both sides:
-14x ≥ 42
Divide both sides by -14. Since we are diving by a negative number, flip the sign.
x ≤ -3
How many milliliters are there in 0.9 kilolitres?
One kilolitre is equal to 1000 x 1000 = 1000000 millilitres. Therefore, 0.9 kilolitres is equal to 0.9 x 1000000 = 900000 millilitres.
What is the answers for these y 2 3 2 2-6 3 2 plus 9 and y 3 -3 2 2 plus 9 -3 2 -8?
Without knowing the plus or minus values of many of the given terms it is difficult to formulate an answer and whether or not the question should include any equality signs.
49/16 = (7^2)/(4^2) = (7/4)^2 = ((4/7)^-1)^2 = (4/7)^-2
Thus as (4/7)^2 = 49/16 and 49/16 = (4/7)^-2
(4/7)^x = (4/7)^-2
Therefore x = -2.
Solve this equation 0.5x- -x plus 3 x-5?
There appears to be no equation in the question: only some disjoint expressions. Expressions cannot be solved.
How could one invent a simple non latinised Vietnamese writing totally different from existing ones?
You can invent a number of symbols, one for each sound. However, inventing a writing that uses existing characters (for example, Latin) would be more practical, since support for such a script is widely available (for example, to type text on a computer).
20 y in a s means 20 years in a score
Ex. 4 scores and 7 years=87 years
How can you get into calculus?
Typically, the pre-requisite for calculus is algebra and trigonometry. These are usually universally required because you need these skills to actually do the mathematics of the calculus. There are a lot of identities in trigonometry that you will wish you could remember when you are working with calculus of trigonometric functions.
A complex number, equations and graphs can show electromagnetic forces-for instance two wires carrying current. A formula like (z-1)/(z+1) can show the fields around two parallel wires.
You want to know about additional mathematics project for year 2009?
kerja kursus matematik tambahan 209
(a + b)*(a - b) = a2 - ab + ab - b2 = a2 - b2
The expression is often referred to as DOTS = Difference Of Two Squares. What is special about it is that the answer contains only the squares of the two terms while the cross-products cancel out.
So (√6 + √5)*(√6 - √5) = (√6)2 - (√5)2 = 6 - 5 = 1
The above result is used to simplify surds and, in particular, to rationalise their denominators.
What is y equals 2xexponent2 plus 3x-1?
y=2x2 + 3x-1
To find the zeros of this equation (when y=0) set the equation = 0
0=2x2 + 3x-1
Now, you can either graph the equation in a graphing calculator and find the x intercepts (where the function crosses the x-axis and y=0) or you can factor the quadratic equation by "smiling" or reverse foiling. However, this equation cannot be easily factored. Therefore, using a graphing calculator will provide the correct answer of x= -1.780776 and x= 0.28077641
You can also use the quadratic formula
where the general form of a quadratic equation is ax2 +bx+ c=0=y
In order to use the quadratic formula, you simple plug the corresponding values into the x= equation. This will produce the same results as graphing and finding the x intercepts.
