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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
K is known as the rate coefficient, or the rate constant. The value of k is particular, and varies from reaction to reaction. It is dependent on different factors such as temperature, pressure, concentration, solvent, presence of a catalyst, etc., and therefore a change in any of these gives you a new value for k. To determine the value of k, you must use the experimental data to determine if you have a zeroth order, first order, or second order reaction. As indicated by the equation below, you must also have the actual rate.
Rate= k[A]m[B]n[C]p
Your overall reaction order is given by the sum of the orders of reactant.
If you have a zeroth order reaction overall, then k will be equal to the rate. So if the reactants are consumed at a rate of 1.00 mol/liter/sec, then your k has a value of 1.00 mol/liter/sec. This means that no matter how much of the species you add, a lot or just enough, you will not change the rate.
If you have a first order reaction where the concentration of A, [A] (in mols/liter), is consumed at a rate of .004 mol/liter/sec, then k = [A]/.004 mol/liter/sec, as given by the above equation: You divide the rate by the concentrations of the reactants. The units for a first order reaction are sec-1 or 1/sec, because you are dividing moles per liter by moles per liter per second. So the concentration of this does matter. The concentration of the reactant is proportional to the rate of reaction.
If you have a second order reaction, then the addition of a reactant will increase the rate of reaction by a square of the concentration of the reactant. This is because you are now dividing the rate of reaction by, for example, [HNO3]2. Remember the the previous variables m, n, or p are the experimentally determined order of reactant. So a second order reaction results in squaring the concentration. Hope that helps!
Which of the following methods would be the easiest to use to solve x2 - 6 equals 0?
x^2-6=0x^2=6
x=±√6
What is the answer do this matrix in arbitrary form 3x-6y-z equals 6 and x plus y plus 3x equals 5?
It is a singular matrix.
How does the graph of y equals x2 differ from the graph of y equals x2-4?
Assuming you meant y=x2 & y=x2-4
They are both straight-line graphs, however - they produce different results. Using the values of 1,2,3,4 & 5 for x (as an example)...
In the first equation, the value of y would be 1,4,8,16 & 25
In the second equation, y would be -3,0,4,12 & 21
How do you prove 2x powk plus 4x powk minus 1 equals x powk plus 1?
if you mean: 2x^k + 4x^k -1 = x^k +1
6x^k - x^k = 1 + 1
5x^k = 2
x^k = 2/5 cannot be solved further without more info.
with 2 variables you must have 2 equations to solve further.
-2x-6= -2x-6
Another answer:
-2x-6 = 2x+6
-2x-2x = 6+6
-4x = 12
x = -3
What is the horizantal line test and vertical line test?
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.
A one-to-one function is a function where every element of the range correspons to exactly one element of the domain.
Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.
What is the value of x if 3x - 4 equals x - 6?
3X - 4 = X - 6
subtract an X from both sides
2X - 4 = - 6
add 4 to each side
2X = - 2
divide each side by 2
X = - 1
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check in original equation
3(-1) - 4 = (-1) - 6
- 3 - 4 = - 1 - 6
- 7 = - 7
checks
How do you drive the equation y equals mx?
y = mx
dy/dx = m
The derivative is simply the constant in front of x. Here, we have indicated that to be m.
What is the formula for finding the surface area of the circle?
A circle doesn't have a surface area because it is a 2D object. The area of a circle is = pi r2. if you mean the surface area of a sphere it is = 4 pi r2
