Calculus

subtraction; 80-y= 52. 28+52 =80

Calculus is basically a way of calculating rates of changes (similar to slopes, but called derivatives in calculus), and areas, volumes, and surface areas (starters).

It's easy to calculate these kind of things with algebra and geometry if the shapes you're interested in are simple. For example, if you have a straight line you can claculate the slope easily. But if you want to know the slope at an arbitary point (any random point) on the graph of some function like x-squared or some other polynomial, than you would need to use calculus. In this case, calculus gives you a way of "zooming in" on the point you're interested in to find the slope EXACTLY at that point. This is called a derivative. If you have a cube or a sphere, you can calculate the volume and surface area easily. If you have an odd shape, you need to use calculus. You use calculus to make an infinite number of really small slices of the object you're interested in, determine the sizes of the slices, and then add all those slices up. This process is called integration. It turns out that integration is the reverse of derivation (finding a derivative). In summary, calculus is a tool that lets you do calclations with complicated curves, shapes, etc., that you would normally not be able to do with just algebra and geometry.

The figures are exactly the same, but every point on the first graph

is exactly 13 below the corresponding point on the second one.

5

That expression can not be factored.

This is a linear equation in two variables and the coordinates of each and every point on the line that it describes is a solution.

A single linear equation does not have an "answer".

It is a linear expression in two variables.

As an expression it cannot be solved. Furthermore, to solve equations in two variables you need at least two linear equations.

Perhaps you mean words with an x? axe, ox, sex, extreme, extra, extract, six.

The Center of curvature is 2 times the focal length.

By the way this is a physics question.

There are two ambiguities in this question. First, the numbers 0 through 9 could mean integers or real numbers. If you meant real numbers the answer is infinite, so I presume you mean integers. More to the point, it depends on whether you are only counting combinations of 4 different numbers or allowing duplications (like 4, 4, 5, 5).

6

240

600 / 100 x 40

4 Seasons of the Year

1 mile = 1609 meters = 1.609 km

thus 10 miles = 16.09 km

The derivative of sin (x) is cos (x). It does not work the other way around, though. The derivative of cos (x) is -sin (x).

4x+6

a = 2πr2 + 2πrh

∴da/dr = 4πr + 2π(h + r dh/dr)

This can't be solved. You have two varibles.

-2

2 feet deep

subtract 2 from both sides 2 and 5 then youll get the answer

First you might want to divide both sides by 7 so you have

-x+y=-7

Now you can write this as y=x-7

So the graph is a line with slope 1 and y intercept -7.

To graph it, place a point ( a dot) at (0,-7) Now to find the next point go up one unit and over to the right one unit. Connect the dots and you have the desired line.