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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
5 plus 7 equals -12 factor equation?
There is no equation. An equation is true, whereas the statement ( 5 + 7 = -12 ) is false.
What is the derivative of 8x2?
The derivative of a function tells you how it changes in response to a change in a specific variable. The derivative of a linear function (like y = 2x + 3) with respect to its independent variable is the slope of the line (in this case, two): how much the line rises or falls when "x" changes by one.
The expression 8x2 does not involve any variables, and thus never changes. Its derivative is therefore zero. There is no variable involved, so the result is always 16. Changing the input variable (of which is there is none) has zero effect on the answer.
When factored what is the solution set 3x squared plus 2x plus 1equals?
3x2 + 2x + 1
this can not be factor and receive whole numbers. you need to use the quadratic equation. your answer will also have a complex number in it.the complex number will be sqrt of -1 which is equal to i
2+sqrt(-8) / 6
and
2-sqrt(-8) / 6
these two are your answers.
When solving an inequality do you always need to solve for Y?
I don't really understand what your question means, but we'll go through the complete step of solving linear inequalties.
For example, x - 3 < 5. What is x?
Well, we must isolate 'x' on one side. We do it like we do with an equalty.
x - 3 + 3 < 5 + 3 -->> x < 8
There we have it, the solution!
Of course, inequalties aren't exactly like equalties, either. Take this for instance:
-x < 5
We need to isolate x, so here we go: x < -5. Oops, we messed up somewhere!
It turns out, that if you take the equation and multiply or divide by a negative number, we get to reverse the inequalty sign. Therefore, the answer is: x > -5. There we go.
How many soulutions does -46 equals 3x plus 7x have?
Just one.
-46 = 3x + 7x
Combine the 'x' terms:
-46 = 10x
Divide each side by 10:
-4.6 = x
What is the ordered pair of 7x plus 4y equals 39 2x 4y equals 14?
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", "equals" etc.
There is no visible operator between 2x and 4y in the second equation.
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", "equals" etc.
How do you times 2 didit numbers in your head?
You don't really times two numbers, you can however find the product of two numbers. Anyways, there are a number of tricks, but the easiest way is to break the number into easier pieces:
For example:
60 x 90 = (10 x 10) x (6 x 9) = 100 x 54 = 5400
We split the 10's out, because 10 x 10 is easy. And 6 x 9 is also easy.
60 x 12 = (6 x 10) x (4 x 3) = (2 x 3 x 10) x (2 x 2 x 3) = (2x2x2) x (3x3) x 10
=8 x 9 x 10 = 72 x 10 = 720
As you can see on this one, you had to keep breaking the numbers apart to find an easier combination, but ultimately it pans out. The problem is each time you break a number into more numbers, you are more prone to making a mistake trying to keep track of all the numbers.
Also, this method doesn't always work well, but it can still bemanageable:
11 x 12 = 11 x 4 x 3 = 44 x 3 or 33 x 4
You have to carry a digit now, and that's slightly harder to do. But you can still do it in your head. "4x3=12, carry the 1, 4x3=12+1 = 13, the answer is 132."
Sometimes though, it will be nearly impossible using this method:
33 x 77 = 3 x 11 x 7 x 11 = 21 x 112 = ???
Another method to make problems a little easier:
You can reduce a number by one factor:
33 x 7 = 11 x 3 x 7 = 10(21) + (21) = 210 + 21 = 231
If 3x7=21 is the factor, I basically extracted one factor to make the problem 10(21) and then just added that extracted factor back in. This takes a little longer to grasp than the above method.
What is 5 divided by 6x minus 1 divided by 2 equals 7?
Unfortunately we don't know if you mean 5/(6x) -1/2 , or ((5/6) times(x-1) )/2 or any one of several other interpretations of the question.
Can cubic functions have more then one form?
Not in a mathematically significant way. That is, any one should be easily converted to another.
What is the average value of x if domain of variable x is 102050?
Since there is only one value, the average is 102050.
Since there is only one value, the average is 102050.
Since there is only one value, the average is 102050.
Since there is only one value, the average is 102050.
What has the author Y W Ma written?
Y. W. Ma has written:
'Zhongguo xiao shuo shi gao' -- subject(s): Chinese fiction, Hsitory and criticism
'Zhongguo xiao shuo shi ji gao'
'Shui hu ren wu zhi zui'
Would it be ok to put 235 40R18 on a 2004 jaguar x-type instead of the standard which is 225 40R18?
The 235 will be slightly wider than the 225, as long as your tires do not rub when turned from stop to stop it is a good swap.
How do you factor the expression x cubed minus 5x plus 4?
By inspection, the sum of the coefficients is 1 - 5 + 4 = 0Therefore x = 1 is a root. That is (x - 1) is a factor.
Then suppose the other factor is ax^2 + bx + c
SInce the coefficient of x^3 is 1, then a = 1 so that the second factor is x^2 + bx + c
Therefore (x - 1)*(x^2 + bx + c) = x^3 - 5x + 4
x^3 - x^2 + bx^2 - bx + cx - c = x^3 - 5x + 4
Comparing coefficient of x^2 gives -1 + b = 0 so that b = 1
Comparing coefficient of x gives -b + c = -5 so that c = b - 5 = -4
Comparing constant terms gives -c = 4 or c = -4 which confirms above calculations.
Thus, the second factor is (x^2 + x - 4) which does not have rational factors.
What is the least common multiple for 48 and 70?
Taking each number in turn we factor it into primes :- 1) 48 = 2 * 2 * 2 * 2 * 3 = 2 ^4 * 3 ^1 2) 70 = 2 * 5 * 7 = 2 ^1 * 5 ^1 * 7^1 For each prime factor we take the one with the largest number as the index, eg for the factor 2 , we have 4 and 1. The largest is 4 and so on for each prime factor that occurs and then multiply them together so we have all together 2 ^4 * 3 ^1 * 5^1 * 7^1 = 16*3*5*7 = 1680 which is the Lowest Common Multiple of 48 and 70.
What is is the speed of light?
The speed of light in a vacuum is 299,792,458ms-1 or 183,000 miles per second.
In scientific notation and rounding for ease of memorization, this is usually written as 3.00 x 108 m/s
It's value however is different for other media and can be calculated using the following formula:
v=c/n
That depends on what it's traveling through.
When it's traveling through nothing ... empty space, vacuum ... the speed
is 299,792,458 meters per second.
The speed is somewhat less in any material that light might travel through ...
air, water, glass, diamond, jello, etc. It's different in each material.
186,282.397 miles per second or 299,792,458 metres per second
The number to remember is: 300,000 kilometres per second
How many centimeters are there in 300 millimetres?
There are 10 millimetres in one centimetre. Therefore, 300 millimetres is equal to 300 / 10 = 30 centimetres.
30 cm
There are many different kinds of analyses within mathematics.
