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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 - 24.8 equals 11.5 plus z?

-24.8 = 11.5 + z

Subtract 11.5 from both sides: -36.3 = z

How do you prove one - tan square x divided by one plus tan square xequal to cos two x?

(1 - tan2x)/(1 + tan2x) = (1 - sin2x/cos2x)/(1 + sin2x/cos2x)

= (cos2x - sin2x)/(cos2x + sin2x)

= (cos2x - sin2x)/1 = (cos2x - sin2x) = cos(2x)

What is mening of x y z?

If you mean the equation w=xyz, it is a fourth dimensional shape which is a straight line in the planes of xw, yw and zw, a quadratic in the planes w,x=y w,x=z and w,y=z. It also has a monumental saddle point at x=0.....

If you mean what are x y and z on a graph, they are just three mutually perpendicular directions. x might be the length of your box, y its width and z its height for example. You can't draw a graph of 3 dimensions on a piece of paper however.

2x 4 plus 7x 3 plus 3 2 x 2?

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" etc.

If x2 plus 6x equals 27 what is the value of x?

x2 +6x = 27

x2 + 6x - 27 = 0

x2 + 9x - 3x - 27 = 0

x(x + 9) - 3(x + 9) =0

(x - 3)(x + 9) = 0

So x can equal 3 or -9.

How do you solve this equation 0.3x equals 2.4?

0.3x = 2.4

Multiply each side by 10:

3x = 24

Divide each side by 3:

x = 8

How do you solve 3x-7 equals 5x plus 3?

First you subtract 3x from both sides and get -7=2x+3. Then subtract 3 from both sides and get -10=2x. Then divide both sides by 2 and x=-5.

How do you solve X over 2 plus 3 equals 4?

x/2+3=4

x/2=1 (take away 3 from both sides)

x=2 (multiply both sides by two)

How do I do this problem A wagon is pulled by a force of 41.8 N on the handle at an angle of 25 degrees with the horizontal If the wagon if pulled in a circle of radius 18.0 m how much work is done?

The simplistic solution is as follows:

The component of the force in the horizontal plane is 41.8*cos(25) = 37.9 N.

The distance travelled is pi*18 metres so work done = 37.9*18 = 2142 Joules.

Largest volume of a cylinder inscribed in a cone of semivertical angle x?

(4/27)*pi*R3*tan(x)

R being the radius of the base of the cone.

How can you tell if a porabola is opening up or down using ax2 plus bx plus c?

If a is positive, then the parabola opens upwards; if negative, then it opens downwards.

What is the rule if x is 80 and y is 1?

There are infinitely many rules. SOme of these are:

y = x/80

y = 80/x

y = x + 79

y = 81 - x

y = sqrt(x+1) - 8