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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 mistake do people make to solve for 1 equals 2?

Most people who believe that 1 = 2 make the mistake of dividing by zero:

If 1 X 0 = 2 X 0,

then you might suppose that 1 = 2, by cancelling the common factors, namely the factor of zero.

But you would be *absolutely* wrong to think this.

If it were correct, then all numbers would be equal. That would probably suit the Ministry of Education very well; not to mention the teachers' unions, as well as some nihilist philosophy students. But the bankers will never have it, and, so, the Indiana state legislature is in no danger of passing it. At last report, Indiana has not legislated the value of pi, either.

What is 10.99 x 5 and 2 thirds?

(10.99) x (5 2/3) = (10.99) x (17/3) = 186.83/3 = 62.27666 (rounded, repeating)

How do you solve the equation 81t3 - 81t equals 0?

You factor it.

81t3 - 81t = 0

Divide by 81:

t3 - t = 0

Take out the common factor t:

t (t2 - 1) = 0

Here we have a difference of two squares, therefore:

t (t + 1) ( t - 1) = 0

If the product is zero, that means that one of the factors must be zero, so you have to solve the three equations:

t = 0 OR t + 1 = 0 OR t - 1 = 0.

In summary, t can be 0, -1, or 1.

How do you log in to kidspace?

write kidspace then if you have it do the second one.next write your username and password.last press log in press agree when a different thing comes up and there you have it.

What is 4 equals -2 plus 3h?

It is a simple linear equation in 'h'. The solution

may be found as follows. Watch closely:

4 = -2 + 3h

Add 2 to each side of the equation:

6 = 3h

Divide each side by 3 :

2 = h

How do you find the mean of x over y equals a over b?

Find the derivative of Y and then divide that by the derivative of A

What is 1.2 written as a fraction in simplest form?

1.2

= 1 and 2/10

reduces to

1 and 1/5

now,

(5*1+1)/5

= 6/5

======simplest form

Why is it that the parabolas of y equals x squared -4x plus 8 and y equals 8x -14 - x squared can never intersect with each other giving reasons why not?

Because when collated together the discriminant of b2-4ac = -32 i.e. 144-(4*2*22) = -32

In order for the parabolas to make contact with each other the discriminant must equal zero or be above zero.

Would the function x4 plus 1 over x3 minus 2x be even or odd and how would you solve it?

For a function to be even, f(x)=f(-x) for all x

For a function to be odd: -f(x) = f(-x) for all x

Applying this to your formula,

assume that the function is even. Then for x = 2

2^4 + 1/2^3 - 2(2) = (-2)^4 + 1/(-2)^3 - 2(-2)

simply this cannot be true and therefore it is not even. This approach should be done using x and -x in the place of a number but a number indicates the result clearly and will prove it false. To prove a function. You would need to ensure that the statement holds for all x

Similarly for odd a similar process is taken.

What has the author Wendy W Y Cheung written?

Wendy W. Y. Cheung has written:

'Creating a sea of information droplets for cooperative content distribution'

Determine which is the graph of the function Here is the equation httptinyurlcom4bzq4m Here is choice's 1-2-3-4 httptinyurlcom49u2og httptinyurlcom3ernxz httptinyurlcom5xkelp httptinyurlcom4g8r4q?

The question was, let f(x) = 2x if x < -2, ...2x - 2 if -2 <= x <= 2, and ...-2 if x < -2; and what is its graph. You might call this a piecewise-defined linear function. The easiest way to determine this is to look at each interval and see: * Is the function a straight line on each whole interval? * Can you pick two points on each interval so that they match the equation? * And is it a function? Do that and you'll be able to tell. E-mail me if you have more questions on this.

1 x x raise to 2 divide 2 fact x raise to n divide n fact?

Log of 1, Log Equaling 1; Log as Inverse; What's “ln”? ... The logarithm is the exponent, and the antilogarithm raises the base to that exponent. ... read that as “the logarithm of x in base b is the exponent you put on b to get x as a result.” ... In fact, when you divide two logs to the same base, you're working the ...