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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
We can rewrite this as 2x2 -6x-1=0
Now if you want to solve this, you can use the quadratic equation.
a=2
b=-6
c=-1
So x= [6+ or - ( square root of (36+8) ]/ 4
= [6+ or - (2square root of (11))/]4
Find all the solutions to the equation 2u4 plus 38u2 equals 16u3 plus 24u?
2u4 + 38u2 = 16u3 + 24u
∴ u3 - 8u2 + 19u - 12 = 0
∴ (u - 3)(u2 - 5u + 4) = 0
∴ (u - 3)(u - 4)(u - 1) = 0
∴ u ∈ {1, 3, 4}
* * *
Because u is a factor of both sides of the equation given,
u = 0 is also a solution.
What is x equals y squared minus 2?
Im assuming you are trying to come up with a y intercept equation for a graph. If that assumption is correct
x = y^2 - 2
y^2 = x + 2
y = SQRT ( x + 2 )
What is the volume of a rectangular prism that has the dimensions 14 in x 8 in x 6 in?
14*8*6 = 672 cubic inches.
How do you solve -3x-8 plus 4x equals 17?
-3x-8+4x=17
(-3x+4x)-8=17 ;combine like terms
(x)-8=17 ;add 8 to both sides
x=25
Do your own homework.
This is fairly simple but if you can't work it out youself try substituting in whole number values for X, one at a time, and keep going until you find the number that works.
Ps This is not Calculus! If you can't do this I would avoid calclus like the plague!!
What is the answer to 12x-41 equals 6x plus 1?
12x-41=6x+1
add 41 to both sides
12x=6x+42
subtract 6x from both sides
6x=42
divide both sides by 8
x=7
What is the value of x in 3x-6 plus 1 equals 7?
3x - 6 + 1 = 7
Combine the -6 and the +1 on the left side of the equation :
3x - 5 = 7
Add 5 to each side:
3x = 12
Divide each side by 3 :
x = 4
How do you solve x squared minus 15 equals 2x?
x^2-2x-15=0
Once you get to this point, check to see if it can be factored. In this case, it can be factored into (x-5)(x+3)=0.
Therefore, x= 5 and -3
How do you graph the function y equals x over 10?
Well, the best way I think is to form a table with X and Y values. For example:
When X = 0 Y = 0 because Y = 0/10 (plug 0 for X)
When X = 5 Y = 5/10 or 1/2 etc...
Do this for both positive and negative number and plot your X and Y values...it's a linear equation so it'll be a line that goes through (0,0). Using the above examples, you should have a plot point at (0,0) and (5, .5)
Is 3x plus 27 equals 8 a quadratic function?
No it is a linear one. X^2 = quadratic, x = linear. So if the equation doesn't have an x squared, then it is not quadratic.
What is the solution of the system 2x-y55 and x plus 2y2?
2x - y = 55
x + 2y = 2
Multiplying the second equation by -2 gives us
2x - y = 55
-2x - 4y = -4
Adding both equations together gives us
-5y = 51
y = -10.2
Plugging that back into one of the original equations gives
x + 2(-10.2) = 2
x - 20.4 = 2
x = 22.4
So x = 22.4 and y = -10.2
d2P/dV2 = 2RT(V - b)-3 + a[(2*sqrt(T))*(V2sqrt(T) + Vb*sqrt(T))-2 - 2(V2*sqrt(T) + V*sqrt(T))-3*(2V*sqrt(T) + b*sqrt(T))2]
Assuming your question is interpreted as follows:
y=abcx
This function is an exponential function. Since a, b, and c are constants, it is simply a constant number raised to a variable power. A simple version of this would be:
y=2x
For this example, a or b can equal 2 while the other equals 1, and c=1.
x2 - 2x - 5 = 0
By the quadratic equation,
x = {2 +/- sqrt[(-2)2 - 4*1*(-5)]}/2
= {2 +/- sqrt(4+20)}/2
=1 +/- sqrt(6)
What is the solution to 2x plus 1 equals 7-10x?
The solution is 1/2 or 0.5.
This is how:
2x+1=7-10x
2x=6-10x
12x=6
x=1/2
