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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

How many roots does y equals x2-2x plus 1?

normally an equation with the x value squared there would be two roots.

the two roots are positive 1 and postitive 1. since they are they same number there is actually only one root.

How do you solve p2-10p plus 16?

I think the answer is 8 but im not sure!

02-10p plus 16

2-10= -8

-8 + 16= 8

Does cos squared x equate to cosx all in parenthesis squared?

Yes, that's a shortcut often used for powers of functions.

Please note that for the special case of function to the power minus 1 of x there is a different definition - it is usually taken to mean the inverse function. So, if you want to write the reciprocal of a function, you have to express it in a different way.

Why does everything to the zeroth power equal one?

In order to understand why everything to the zeroth power equal one, let's do some examples.

8^0

= 8^(1-1)

= (8^1)(8^-1)

= (8)(1/8)

= 8/8

= 1

2^0

= 2^(2-2)

= (2^2)(2^-2)

= (4)(1/2^2)

= (4)(1/4)

= 4/4

= 1

(x + 1)^0

= (x + 1)^(1-1)

= [(x + 1)^1][(x + 1)^-1]

= (x+ 1)[1/(x + 1)]

= (x + 1)/(x + 1)

= 1

What is the integration of sinehx?

It is cosh(x) + c where c is a constant of integration.

Formula for velocity?

V = d / t (or v = dd/dt & v = integral of acceleration with respect to time for physics involving calculus)

where V is velocity, d is displacement (distance traveled) and t is time.

vf = vi + a*t

(vf)^2 = (vi)^2 + 2*a*d

Where vf is final velocity, vi is initial velocity, and a is acceleration

v = p/m

Where p is object's momentum and m is object's mass

What is the Maximum velocity for diesel?

90 degrees is the maximum velocity for diesel. Diesel is generally any liquid fuel used in diesel engines within vehicles.

What is surface area of a cuboid 8 x 5 x 2.5?

Surface area = 2*(8*5 + 5*2.5 + 2.5*8) = 2*(40 + 12.5 + 20) = 2*72.5 = 145 square units.

What are a set of whole numbers that satisfy 4n9?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals", "squared".

All that is visible is an expression. An expression cannot be solved.

At what point do the lines 3x plus y equals 9 and 6x equals 4 - 2y intersect?

Let's solve this by substitution. We're told:

3x + y = 9

6x = 4 - 2y

Let's start with the second equation, and solve for y:

6x = 4 - 2y

3x = 2 - y

2 - 3x = y

Now we can substitute it into the first equation, replacing all occurrences of y with 2 - 3x:

3x + (2 - 3x) = 9

2 = 9

Ah! That of course makes no sense, which tells us that the lines do not intersect at all, but are in fact parallel to each other. Let's confirm that by rearranging each of them into standard form:

3x + y = 9

y = 9 - 3x

y = -3x + 9

6x = 4 - 2y

y = 2 - 3x

y = -3x + 7

So there you have it. Those expressions describe two lines that have a slope of 3 and a y position that differs by 2.