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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
How do you solve 10w-4 equals 6x-2?
The "solution" is a pair of numbers that make the statement true
when you put them in the places of 'w' and 'x'.
There are an infinite number of them. Any pair of numbers will do it,
as long as the 'w' number is 0.2 more than 3/5 of the 'x' number.
How do you do this math problem y equals x plus 4 and 3y plus x equals 8?
y = x + 43y + x = 8
substituting: 3*(x + 4) + x = 8 => 3x + 12 + x = 8 => 4x = -4 => x = -1
and then y = x + 4 = -1 + 4 = 3.
So the solution is (x, y) = (-1, 3)
It is a linear equation in one variable, x.
The solution to the equation is x = 6.4
How many digits of pi do scientists know?
In 2011, 1 quadrillion. We know the 2 quadrillion no. digit of pi which is 0 and a few digits around. Still, we don't all the digits in between 1 quadrillionth and 2 quadrillionth digits of pi.
What is the standard log base at plus 2 level?
What is a standard log? log on calculator is based 10, and ln is based e. e is a VERY special number, and you will know why in Calculus.
He got that scar 3 years before the 23rd World Tournament from training.
Why do you need to learn algebra?
Because simple math, combined with complex equations are needed later in life to figure out answers to common questions where specific amounts are used.
Where does the parabola x2 plus 8x equals 20 have roots?
x^2+8x=20
x^2+8x-20=0
(x+10)(x-2)=0
x=-10 and x=2 are the roots (intercepts)
(-10,0) and (2,0) are the x-intercepts.
How do you solve 8x2 plus 5x plus 6 equals 0?
Using the formula for the solution of a quadratic equation ax2+bx+c=0:
x = (-b +- sqrt(b2-4ac)) / 2a
(There are two roots, one is found by addition of the square root, the other by subtraction of it).
Which for the given equation 8x2+5x+6=0 means a=8, b=5, c=6, giving:
x = (-5 +- sqrt(52-4x8x6)) / (2x8)
x = (-5 +- sqrt(25-192)) / 16
x = (-5 +- sqrt(-167)) / 16
which has no solution
Unless you know about complex numbers and the use of i = sqrt(-1), in which case, the solutions are:
x = -5/16 + 12.9i and x = -5/16 - 12.9i
Integrate 2exp-x2 from 3 to 7?
See
http://www.wolframalpha.com/input/?i=integrate+2exp(-x2)+over+3+to+7
18360 WHAT a dumb question you could have did it your self . On a calulator
sIGNing by: Back pack
0.5(x)+3=9
First you subtract 3 from the problem on the left side. +3 and -3 cancel out. Whatever you do to one side you do to the other so you subtract 3 from the right side to. 9-3=6.
Then bring everything else down.
0.5(x)=6
Since you still want to isolate the (x), you have to divide by 0.5 underneath the multiply by 0.5. This cancels it out. Whatever you do to one side, you do to the other. 6/.5=12
x=12
To check your answer you do the 3 (or more) step check. This check will be 4 steps.
1. Rewrite (rewrite the problem): 0.5(x)+3=9
2. Replace (plug in your answer for x) 0.5(12)+3=9
3. Solve (solve the problem (may take more than one step)): Multiply 0.5 * 12
Bring down: 6+3=9
4. Compare (compare what you got on the left with what if on the right): 9=9
Yes! 9 equals 9! We got it right! The answer is 12.
What is the double integral of 2x?
The integral of a single term of a polynomial, in the form of AxN is (A/N+1) x (N+1).
The first integral of 2x is x2 + C.
The second integral of 2x is the first integral of x2 + C, which is 1/3x3 + Cx + C.
