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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 do you graph y equals 1x?

Draw a straight line through the origin, slanting up at 45 degrees.

What is x in this problem 2x 39.x?

Unfortunately, the browser used by Answers.com for posting questions is rubbish and incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question.

Why can you not divide a number by 0?

You can't divide something like 5 by nothing. It's irrational, because the number zero represents nothing, and that it is just a symbol recognizing that nothing is there. It's almost like an invisible thing, because 0 represents invisibility, because it is the only symbol justifying nothing in the numerical system.

What is eighty-two percent written as a fraction in simplest form?

Expressed as a proper fraction in its simplest form, 82 percent is equal to 41/50 or forty-one fiftieths.

Asymptote of x² times e to the power of x?

As x tends to negative infinity, the expression is asymptotically 0.

What capacity are 1997 Chevy Cheyenne gas tanks?

The capacity of a 1997 Chevy Cheyenne gas tank is 128 liters. Or one could say it is 32 gallons.

How do you round 87 and frame the first digit?

you should round it to the nearest tenth and box the first number

20equals -4 f plus 6 plus14?

20 = -4f + 6 + 14

Subtract 20 from each side:

0 = -4f

Divide each side by 4:

f = 0

5 over x plus 4 plus 3 over x-1?

5/(x+4) = 3/(x+1)

5x+5 = 3x+12

2x = 7

x = 7/2 = 3.5

How do you factor 12x2 plus 28x-17?

The trick with this kind of question is to find two terms that add up to the middle one (28x), and whose coefficients are equal multiples of the first and last term:

12x2 + 28x - 17

= 12x2 - 6x + 34x - 17

= 6x(2x - 1) + 17(2x - 1)

= (6x + 17)(2x - 1)

The only trick with this technique is that sometimes it's difficult to find those two middle terms (-6x and 34x in this case). If it takes too long to figure this out, you can actually break it down into ~another~ quadratic equation, which will usually be easier to factor, and give you those two values. Consider:

Let "a" and "b" be the unknown coefficients. We know:

b = 28 - a <-- we know this because they must add up to the middle term

12/a = b/17 <-- this must be true in order for us to end up with a common multiple.

∴ 12/a = (28 - a)/17

∴ 28a - a2 = 204

∴ a2 - 28a + 204 = 0

We can then solve for "a" by factoring this equation:

(a - 34)(a + 6) = 0

So our coefficients are the two possible values for "a", 34 and -6. We can then simply plug them in to the original equation and factor it out as shown above.