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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

Solve using the rule of 72 rate equals 4 percent years equals 18 fv equals 8000 solve for pv?

Solve, using the Rule of 72 rate = 4%, years = 18, fv=$8,000. Solve for PV.

Formula:

PV = $1/(1+r) t

PV = $8000/(1+.04) 18

PV = $8000/2.0258

3949.03 = $8000/2.20258

What is the answer to 2x2 plus 10x plus 12x plus 3?

2.2+10.x+12.x+3

=4+10.x+12.x+3

=22x+7

This is assuming you just needed to simplify. The "." are just multiplication signs.

Is 3g x x a linear function?

Probably not but it is impossible to be sure because, unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).

How can you find th discriminate of a function?

Discriminant = b2 - 4ac

A positive answer means two real roots, a 0 answer means one real root and a negative answer means no real roots. Example

X2 + 3X - 10 = 0

a = 1

b = 3

c = -10

32 - 4(1)(- 10)

= 49

----------------a positive answer telling you this quadratic function has two real roots.

What is the derivative of x to the power of e?

e^[ln(x^2)]=x^2, so your question is really, "What is the derivative of x^2," to which the answer is 2x.

What is the equation for 5x 9y0 and 6x 6y2?

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".

There are various expressions but no equations to be seen.

What are the points of contact when the line 3x -y equals 5 crosses the curve 2x squared plus y squared equals 129?

The simultaneous equations are: 3x -y = 5 and 2x^2 +y^2 = 129

If: 3x^2 -y = 5 then y^2 = 9x^2 -30x +25

If: 2x^2 +y^2 = 129 then y^2 = 129 -2x^2

So: 9x^2 -30x +25 = 129 -2x^2

Transposing terms: 11x^2 -30x -104 = 0

Factorizing the above: (11x -52)(x +2) = 0 meaning x = 52/11 or x = -2

By substituting the above values into the original equations the points of contact occur at (52/11, 101/11) and ( (-2, -11)

How many centimetres in 107 millimetres?

1 centimeter = 10 millimeters 107 millimeters = 10.7 centimeters

How do you determine given two lines which share a plane the point on each line where the shortest distance between the two lines is equal to some quantity?

If the two lines are parallel, then the shortest distance between them is a single, fixed quantity. It is the distance between any point on one line along the perpendicular to the line.

Now consider the situation where the two lines meet at a point X, at an angle 2y degrees. Suppose you wish to find points on the lines such that the shortest distance between them is 2d units. [The reason for using multiples of 2 is that it avoids fractions].


The points are at a distance d*cos(y) from X, along each of the two lines.

What is the perimeterand area of a circle?

Ok,

To find the Perimeter of a circle, you must use the formula;

P = 2 * (PI) * r

where P = Perimeter

PI is the constant (approx. 3.14159)

& r is the radius of the circle.

As the diameter of the circle is double the radius, you can also say;

P = d * (PI)

Note: * means 'multiplied'.

(Perimeter, is the distance around the outside of a circle.)

To find area of a circle, you need to use the equation;

A = (PI) * r^2

A = Area

^ = to the power of.

i.e The area of the circle equals the radius squared times the constant PI. (Area, is what is contained within the circles perimeter.)

Hope this helped!

jdru4706

How do you find the square root of a number divided by x squared multiplied by 3?

If I understand correctly, you're asking SQRT(3/x2). This is the same as SQRT(3)/x, about 1.732/x

Where do you go to get good boot legged movies?

I have heard that the best quality boot legged movies are from Canada, and they can be mail ordered over the Internet.