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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

If you have a 0 in a mean how do you solve?

When calculating mean, you sum every number in some data set and divide by how many numbers are in the set.

For every zero added to the data, the sum doesn't change but the number which you divide the sum by increases by one.

For example, if your homework grades in a class are:

82, 76, 90, 85, 92

Your mean homework grade then is

(82 + 76 + 90 + 85 + 92) / 5 = 425 / 5 = 85

Say you forget to do your next homework assignment, so you get a zero. To calculate your new mean grade, instead of adding up the numbers again, just increase the denominator by one:

425 / (5 + 1) = 425 / 6 = about 71

What is parallel and skew line?

Parallel lines go the same way and are always the same distance from each other (eg you and a mate walking side by side).

Skew lines pass each other but don't meet, eg when you walk under a bridge and the train passes over. You are heading different ways, but you don't actually (just pass by)

How do you determine a slope intercept equation?

Solve for y, getting the equation into the form of y = mx + b. m will then be the slope, and b will be the y intercept.

How do you factor x squared plus four x?

You don't, if you're only looking for real number results. If you are including imaginary numbers, x2+4 = (x+2i)*(x-2i).

Is y equals -5x linear?

Yes it is linear, it is a horazontal line, or 0 slope

What fraction that is nearly 3?

Depends on how close you need to be. 2.9, or 2.99, or 2.999 etc

X plus 3 plus 4x equals 13 so how much is x?

x + 3 + 4x = 13

3 +5x = 13 -- combine like terms

5x = 10 -- subtract 3

x = 2 --- divide by 5

"x" equals two

What does x squared plus 16 t plus 47 cubed equal?

This equation has no meaning. 47 cubed is 103,823, but the rest of the equation is worthless without a value for x and t. At present, X and T do not have values, so you can not evaluate this expression.

How many number of cubic meters are in a cubic millmeter?

1m = 1000 mm

1 cu m = 1m x 1m x 1m

= 1000mm x 1000mm x 1000mm

= 1,000,000,000 cu mm

=> 1 mm3 = 1/1000000000 m3

How do you find the equation of a line tanget to y equals x raised to the 2nd power minus 2sinx plus 3 at 0 comma 3?

Take the derivative of the equation with respect to x:

dy/dx = d(x^2-2sin(x)+3)/dx

=d(x^2)/dx-2*d(sin(x))/dx+d(3)/dx

=2x-2*cos(x)

That's your tangent equation.

At x=0 ---> 2*0-2*cos(0) = -2

There's your slope.

When and where did Carl F Gauss live?

Carl Gauss lived in Germany from 1777 to 1855.

How heavy would you have to be to walk on mars x equals?

...If you are a human in the typical mass range, you can walk on Mars no problem...in fact if you're somewhat heavy set, you'll notice it is significantly easier to walk on Mars because its gravity is less than Earth's... and x is the twenty-fourth letter of the English alphabet. It makes a "ks" sound.

Jokes aside, there could be a rather complex physics question hidden in there. At a large enough volume to mass ratio, the force of gravity pulling you down will no longer be sufficient to balance the relatively small buoyant force exerted by the thin Martian atmosphere. Assuming no wind, which is ludicrous because it's almost always windy on Mars, you would have to have a density equal to or greater than that of the Martian atmosphere in order to walk on the planet. In other words, it's not a question of 'weight', it's how much matter you have packed into how much space....still don't know what you mean by x though. Sorry!

What are the solutions to the simultaneous equations of 3x -5y equals 16 and xy equals 7 showing work?

If: 3x-5y = 16 then -5y = 16-3x => y = -3.2+0.6x by dividing all terme by -5

If: xy = 7 then x(-3.2+0.6x) = 7 => -3.2x+0.6x2 -7 = 0

Solving the quadratic equation: x = 7 or x = -5/3

Solutions of the equations by substitution are: x = 7, y = 1 and x = -5/3, y = -21/5