0
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
How do you Solve the equation w equals Cr to the negative second power for r?
Assuming the equation described is: w = (Cr)-2...
Remember that any value to a negative power can also be represented like this:
(Cr)-2 = 1/(Cr)2
Also note that we can distribute the power over multiplication. (This doesn't apply to addition!)
(Cr)2 = C2r2
So if we rewrite the equation with this, we get
w = 1/(C2r2)
If we invert both sides and then divide by C2 on both sides, we get
1/w = C2r2 → 1/(wC2) = r2
Take the square root of both sides, and you'll have the equation in terms of r:
r = sqrt[1/(wC2)]
The biggest step was realizing that anything to a negative power can be inverted to find the same with a positive power. For example, 2-2, if you type it in your calculator, gives you 0.25, or 1/4. If we do what we did above, we can take 2-2 and make it 1/(22), which also equals 1/4. This applies to any negative power, and is a powerful technique for solving equations with negative exponents.
What is the solution for X plus 7y equals 39 and 3x-2y equals 2 is?
x + 7y = 39 ....... Eq.1
3x - 2y = 2 ....... Eq.2
multiply Eq.1 with (-3) and so Eq.1 will be :
-3x - 21y = -117
3x - 2y = 2
_________________ by Elimination method ( Eq.1 + Eq.2 ) the result will we :
- 21y - 2y = - 115
-23y = -115
Y = 5
to find the value of x, put the value of y in Eq.1 :
x + 7y = 39
x = 39 - 7y
x = 39 - 7(5)
X = 4
___________________________________________________________
you can solve it in another way by using substitution method:
x + 7y = 39 ....... Eq.1 ,, you can write it in another form, x = 39 - 7y
3x - 2y = 2 ....... Eq.2
Put the value of Eq.1 on Eq.2
3(39 - 7y) - 2y = 2
117 - 21y - 2y = 2
117 - 23y = 2
23y = 115 ............ Y = 5
to find the value of X , put the value of Y in Eq.1
x = 39 - 7y
x = 39 - 7(5)
x = 39 - 35 .............. X = 4
and so in both ways....you got the same answer choose the easiest way for you :)
good luck my friend...
How many times does the graph of 3x2 plus 8x plus 5 cross the x-axis?
Twice. Between negative two and negative one.
Why do we find the limit of a function?
Typically, it's to give you an idea of a function graphically. Sometimes you deal with functions that are really hectic in design and they don't really have all the points smoothly in place (for example, a graph with an empty point or ^, a peak). A limit gives you an idea of what's happening with the graph as you get close to that point or area (as with infinity not being an actual point), hence the "as x approaches N," N being either some number, or negative or positive infinity.
2x2 + 1 = 16
2x2 = 15
x2 = 7.5
x = sqrt(7.5)
x = positive or negative 2.7386 (rounded)
How do you find the rule of a function that doesn't have a relation between the x and y?
With great difficulty: and it may even be impossible.
With great difficulty: and it may even be impossible.
With great difficulty: and it may even be impossible.
With great difficulty: and it may even be impossible.
What is the easiest way to find area between two functions?
You have to integrate. There is usually no easy shortcut, except for some very simple functions.
When finding the area between to functions subtract the bottom function from the bottom function. Then integrate that from the starting to ending points. (If the functions switch which is on top and which is on the bottom over the interval you're integrating over, you'll have to split the problem into smaller problems around that point and add the areas together.)
What is the solution set for 9x plus 2 equals x-5?
9x + 2 = x - 5
Subtract 'x' from each side of the equation:
8x + 2 = -5
Subtract 2 from each side:
8x = -7
Divide each side by 8 :
x = -7/8
The solution set is { -7/8 } .
What is the value of x if x 633?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals".
There is no symbol between x and 633.
What actors and actresses appeared in 3 millones y el amor - 1946?
The cast of 3 millones y el amor - 1946 includes: Delfy de Ortega Alfonso Ferrari Amores Vicente Forastieri Marcelino Ornat Gonzalo Palomero Raimundo Pastore Rodolfo Rocha Oscar Soldati Jorge Villoldo
What is 1.59 as a fraction in simplest form?
To create a fraction in simplest form, we have to understand the intrinsic nature of a fraction:
Whole numbers in both the numerator and denominator
No factors shared in common between numerator and denominator
Knowing this, we can change 1.59 into:
1.59/1, but to satisfy the requirement of whole numbers:
159/100. This fraction can not be reduced any more, and is therefore your answer.
Numerator = 7x + 14 = 7*(x + 2)
Denominator = 3x + 6y + nx + 2ny = 2*(x + 2y) + n*(x + 2y) = (x + 2y)*(2 + n)
There are no common factors between the numerator and denominator and so the expression cannot be simplified.
What is the property of 3 x 0 equals 0?
It is called the zero property which says that any number into zero gives zero.
How do i simplify and identify the undefined of 6x 2-7x-3 -3x 2 plus x?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals", "squared".
The question does not contain an equation nor an inequality so there is not much that can be done with it.
What has the author F X Soenaryo written?
F. X. Soenaryo has written:
'Sejarah perlawanan terhadap Belanda di Lombok, 1945-1949'
'Laporan penelitian pariwisata dan perubahan sosial di Kuta, 1975-1995'
What is the answer to x plus 7?
It is x + 7. It is not an equation and so cannot be solved, and it cannot be evaluated without information about x.
Can an object have zero velocity at the same time that it has acceleration?
Absolutely. That's exactly the situation of a rubber ball that was tossed straight up,
at the instant when it's at the top of its arc.
Any object that's not connected to anything else and is rising or falling has constant
acceleration ... the acceleration of gravity. If it was originally launched upward, then
it eventually runs out of steam, stops, reverses direction, and starts moving down.
At that instant during its constant acceleration, its velocity is zero.
What are the explanations of skew lines?
In plane geometry, two straight lines are either parallel (including coincident) or they meet at a point. In three dimensions, however, there is another option: the lines could be skew. These are lines that are not parallel but which do not intersect either. One way to visualise this is to place yourself in a cuboid room facing one wall. Consider the vertical line where the wall in front of you meets the wall to your left. And then consider the line where the floor meets the wall to your right. These two lines are not parallel but they will never meet. These are skew lines.
Math words with the letter v in it?
volume, vertical angles, vertexes, volume, vertices, and tht's pretty much all i know
