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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
What is a function of the form y equals mx plus b where m and b are constants?
It is the equation of a straight line
What is the difference between noise and simple harmonic motion?
Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.
Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.
Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.
Simple harmonic motion is motion which is fully determined by its period, amplitude and phase. Noise is the name given to motion where the period is indeterminate. This may be because there is no periodicity or because the motion is a superposition of such a large number of simple harmonic motions of different periodicities that the resultant is almost aperiodic.
How do you convert millimeters into millimeters squared?
Millimeters is a length and mm2 is an area. There is no conversion possible.
200.00
If 20 of a radioactive substance disappears in 70 days what is its half life?
we need to know the units of 20. Is it grams, kilograms, %...
What is the answer to the following negative x over four equals eleven?
I am not sure at all but, possibly 11. I tryed solving it and that is what I got.
We prove it for the interval (0,1) and the proof is easily extended to any subset of real numbers. An alternative way to state this is every infinite set of points in (0,1) contains a sequence converging to a point not in the sequence.
So proof is by contradiction. We want to show that some subset (arbitrary) of (0,1) has a limit point. So let's assume this is NOT true.
Let K be the subset of (0,1) consisting of all reals in the interval, of course K is infinite, Now let's start by forming a sequence and let A0 be the first term and let A0 =K
An+1=An - lub(An) where lub means the least upper bound
1. Now we note that the lub of A1 exists because A1 is bounded by 1 above.
2. A1 is non-empty sine A0 is infinite and one point is removed at each step.
3. lub(Ai) ∈ Vi. Otherwise, it would be a limit point of Ai which is a contradiction.
4. lub(Ai+1) < lub(Ai). Since Ai+1 ⊂ Ai, ∀a∈Ai+1, a < lub(Ai )
Now let's look at two mutually exclusive possibilities:
Case 1: We know there is some k such that Ak =Ak+1
This can't be because it violates #3 since since Ak = Ak+1 = Ak - lub(Aj), lub(Ak) ∉ Aj
So let's say for all k Ak ≠Ak+1 which we assume since case 1 is not possible.
Then
Form the set S={lub(Ak)}. A is itself a subset of (0,1) bounded below by 0, so it has a greatest lower bound. Let s=glb(S). If s ∉ S, s is a limit point of S, a contradiction. If s ∈ S, s=lub(Ak) for some k. However, by (4), Ak+1 < s, a contradiction.
So we assume our subset does have a limit point and the proof is complete.
The Difference Engine was an automatic, mechanical calculator.
How do you solve 12 equals 2x plus 6?
12 = 2x + 6
subtract 6 from both sides
6 = 2x
divide both sides by 2
3 = x
What is 7 sq rt of x plus 4 times x squared?
The simplest thing to do here is to express "square root of x" as "x to the power 1/2". Then you can multiply the pure numbers together, as well as the powers of x.
How to explain y to the power of x equals x to the power of y?
This is impossible unless x and y are the same number
for example:
2^5 = 32
however
5^2 = 25
therefore it cannot be proved if its not correct.
thats wrong
ex . 3^2 = 2^ 3 is not correct
The Wikipedia article "Trigonometric identities" lists the following identity (in which I am simply changing variables):
cos a sin b = (1/2)[sin(a+b) - sin(a-b)]
Here, since the two angles are the same, this simplifies to:
cos a sin a = (1/2)[sin(2a) - sin(0)]
= (1/2)sin(2a)
Solve using substitution x plus y equals 3 and y equals 9?
Since the second equation is already solved for "y", you can replace "y" by "9" in the other equation. Then solve the new equation for "x".
How do you draw the graph of modulus y equals cotx?
I assume that with "modulus" you mean the absolute value. Start by graphing:
y = cot x
Remove negative values of the function value, since those can't be satisfied by the equation. You will also need to reflect the resulting function along the x-axis.
What is x2 plus 5x plus 9 equals 0?
It has no solutions because the discriminant of the quadratic equation is less than zero.
