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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 the exponent of zero is?
no exponent can make a number equal to zero, however any number with an exponent of zero is one.
Presumably this is a simultaneous equation in the form of:
x = 8-2y
y-x = 4
Which is the same as:
2y+x = 8
y-x = 4
Add both equations together:
3y = 12.
So y will equal 4.
Substitute the value of y into the original equations to find the value of x:
So: x = 0 and y = 4
More information needs to be provided in order to do this. ;)
8 choose 3, which is calculated as: (8 x 7 x 6) / (1 x 2 x 3).
How can you find the domain and range of a function?
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
Calculus (also called "tartar") is a buildup of minerals (chiefly Calcium Phosphate) on the teeth. Minerals are caught in unremoved plaque harden onto the teeth forming tartar, which then forms a rough-surfaced base for more plaque to form.
Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.
Enter as an ordered pair 6x plus 2y equals 6 3x - y equals 9?
2, -3
Where x = 2 and y = -3
6 (2) + 2 (-3) = 6 [12 + (-6) DOES = 6]
3 (2) - (-3) = 9 [6 + 3 DOES = 9]
What is integration explain different type of integration?
Establishing a communication between 2 or more end systems, so that they can transfer the data is known as Integration.
Types of integrations are:
1) Process based integration
2) Bulk data based integration
Styles of integrations are:
1) File based integration
2) Data based integration
3) Message based integration
4) RPC based integration
Regards,
Varun
SCJT team.
This type of expression is referred to as a difference of squares. Any expression in the format:
a2 - b2
Can be expanded as:
(a + b)(a - b)
In this case then, we have:
x2 - 64 = 0
(x + 8)(x - 8) = 0
This tells us that x must be equal to either 8 or -8.
What are the roots of the quadratic equation y2-2y-8 equals 0?
y2 - 2y - 8 = (y - 4)(y + 2) = 0; whence,
y = 4 or -2.
What is the answer to 2x - 10 - 3x2 plus 10x plus 2x3 plus 3x2?
2x - 10 - 3x2 + 10x + 2x3 + 3x2
There's nothing that needs an answer, because there isn't any question here.
The ragged, disorganized string of terms in the question can be cleaned up,
like terms combined, and rearranged to look a lot better, but nothing actually
changes, and no additional information can be squeezed out of it.
2x3 + 12x - 10 .
That's just a better way to write the same polynomial, not an answer to anything.
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We did that, and found a website that offers a plethora of truly exciting
future possibilities, but brings us no closer to an 'answer' for this question,
for the simple reason that the question contains no question.
'Wolfram' presents graphs of the function "Y = 2x3 + 12x - 10", and factored forms
of the same trinomial. But none of those is an 'answer'; or rather, every point on
the graph is an 'answer' ... listing in pictorial form all the values of the trinomial
for every value that 'x' can have within a certain range ... and of course, there
are an infinite number of them, as there always are whenever you deal with
individual points on a line.
But, again, the questioner has done flung some algebraic-looking stuff at us,
and asked us for 'the answer'. We must not allow his subtle suggestion to
send us off on a merry chase in search of a question to answer, where there
is none.
As we have often said: When the questioner asks "What time is it ?", we must
avoid the natural impulse that makes us yearn to explain how to build a clock.
Even more so in this particular case, where the questioner has merely said
"Good morning", and challenges us not to reply to his remark, but to solve it !
Is the equations 3x-6y equals 20 and 2x-4y equals 3 consistent or inconsistent?
3x-6y=20
2x-4y=3
Is suggest you use elimination to solve this problem because it's easier. Eliminate either your Xs or your Ys.
(2)(3x-6y)=40
-3(2x-4y)=-9 (note that you multiplied by a -3, not a +3, because you are trying to get opposites.
6x-12y=40
-6x+12y=-9
You can eliminate your 6x and -6x because they are opposites.
0y=31
Divide by 0 on each side.
y=0
Now plug in what y equals or 0 into one of the original equations to find the value of x.
3x-6y=20
3x-6(0)=20
3x-0=20
Add 0 to both sides.
3x=20
Divide by 3 on each side.
x=6.6666666666666666666666
To check your work, plug in 6.6666666666666666666 for x and 0 for y in one of the original equations. If you come up with a true statement, then you know you have the correct values for x and y.
3x-6y=20
3(6.6666666666666666666666)-6(0)=20
20-0=20
20=20
Because this is a true statement, you can be sure that you have the correct values for x and y.
3x-6y=20
2x-4y=3
Now get y by itself to find out if the equations are consistent or inconsistent.
Subtract 3x on both sides.
-6y=20-3x
Divide by -6 on each side
y=-3.33333333333333333333333+1/2x
Subtract 2x on both sides.
-4y=3-2x
Divide by -4 on each side.
y=-3/4+1/2x
These equations are consistent because they have the same slopes.
What are the roots of the quadratic equation 2X2-3X-3 equals 0?
Use the quadratic equation to find the roots of 2x2-3x-3=0.
a=2, b=-3, c=-3
x =[ -b +- SQRT(b2-4ac)]/2a
=[--3 +- SQRT((-3)2 - 4(2)(-3))]/2*2
= [3+-SQRT(9--24)]/4
so the roots are x = [3+SQRT(33)]/4 and x = [3-SQRT(33)]/4
How do you defeat malignance x on Power up heroes?
Try and use necroes feel my pain to disable his super powers then switch to your best costume and hit him with all your super attacks
What is produced when you slice a cone with a plane that passes through only one nappes of the cone?
An ellipse or circle.
How do you factor x squared minus 27x minus 58?
You try to find two factors of -58 whose sum is -27 .
You find that -29 and +2 will do it, so . . .
x2 - 27x - 58 = (x - 29) (x + 2)
6 (APEX)
How do you solve for x where 19 - 7 equals 3 x?
19 - 7 = 3x Simply subtract 19 from 7 on the left side:
12 = 3x
So you need 3 of x to get 12...sounds a bit like 3 times 4, doesn't it? After dividing both sides by 3, you can see that this is true:
12/3 = x
4 = x
So, x is equal to 4.
It means to take the derivative, which is the slope. It can be found using the difference quotient formula (f(x+h) - f(x)) /h .
Or, you can use the power rule.
If you had the expression "6X^3 - 3X + 4", the derivative would be "18x^2 - 3 + 0"
You look at each term and multiply the exponant by the coefficient, and make it the new coefficient, then you subtract one from the exponant to be the new exponant. The x stays there. In the second term, the x went away because it became essentially X^0, or 1. And the 4 has 0 as the derivative because the 4X^0 brings the 0 out in front to multiply with the 4, and 4*0 is 0.
But basically it means find the slope (or rate of change) of the answer.
What line in the graph is it if the equation is y equals x plus 3?
y = x + 3
The graph of that equation is a straight line with a slope of 1 (45° rising to the right)
and passing through the point y=3 on the y-axis.
