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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 15 plus 3x equals 6?

It is a linear equation in a single variable, x.

What is x 4x plus 5 plus x equals 25?

4x + 5 + x = 25

5x + 5 = 25

Subtract 5 from both sides: 5x = 20

Divide both sides by 5: x = 4

Solve for X x2 plus x plus 6?

x = -0.5 + 2.397915761656359i

x = -0.5 - 2.397915761656359i

where i is the imaginary square root of negative one.

What are some real life applications of a pattern in algebra?

Read word problems in a math book.

Joe pays 25 dollars for 3 cds. At the same rate, what should he pay for 105 cds?

What is the ordered pair for y equals -x-1?

y = -x-1 is an equation that defines y as a function of x. For each possible value of x, it tells us how to calculate the corresponding value of y. For example, when x is 3, y is -4. So the ordered pair (3, -4) belongs to the function. Similarly for other values of x. Some mathematicians define functions so that the ordered pair is the other way around, so that the above point would be written as (-4, 3). This is just an arbitrary notation convention. The important thing is to be consistent in whichever notation you use.

What is the center and radius of x2 plus 6x plus y2-6y-232 equals 0?

As I understood your question:

"What is the center and radius of: x2+6x+y2-6y-232=0?"

First move 232 over to the right hand side to get: x2+6x+y2-6y = 232.

Complete the square for both x's and y's: (x2 + 6x+ 9) + (y2 - 6y + 9) =232 + 9 + 9

Then rewrite: (x+3)2+(y-3)2=250

Now you can pick off the center --> (-3,3); and

radius --> sqrt(250) = 5sqrt(10) approx. 15.8114

What is the most popular approach to integration?

Legacy system integration. ...

Enterprise application integration (EAI) ...

Third-party system integration. ...

Business-to-business integration. ...

Point-to-point model. ...

Integration platform

What is the next level in inverse functions?

The "next" level depends on what level you are starting from!

What is the anti-derivative of sqrtx2-x?

f'(x) = (x2 - x)1/2

1. Add one to the exponent
2. Divide step 1 by the exponent plus one

= (x2 - x)1/2+1
____________
1/2 + 1


= (x2 - x)3/2
_________
3/2

= (2/3) (x2 - x)3/2 + C

It may also be written:

[2(x2 - x)3/2 / 3] + C



Check:

f(x) = (2/3) (x2 - x)3/2

Using the chain rule:

f'(x) = (2/3) (3/2) (x2 - x)3/2-1

= (x2 - x)1/2

Why does your low mile 2001 5.2 liter have half the power of your 1998 work truck with 300000 kms?

you have to consider weight. Is it the 1500-2500-3500? Size of tires? Size of wheels? If all these are the same you may want to check out your engine. Maybe your not running on all 8.

What is the next letter A f v u g l t?

If you read Ludwig Wittgenstein's comments on language games, you will find that any next-in-series problem has an infinite number of soluitons. I am curious, though, to learn what you or others think is the "uniquely correct" answer to your challenge.

How do you solve x squared plus 4x-3 equals 0 in surd form?

x2 + 4x - 3 = 0

The quadratic formula is x = {-4 ± sqrt[(-4)2 - 4*1*(-3)]}/2

= {-4 ± sqrt[16 + 12]}/2

= {-4 ± sqrt[28]}/2

= {-4 ± 2*sqrt[7]}/2

= -2 ± sqrt[7]

How do you solve 2a-7 equals -9?

2a - 7 = -9

2a - 7 + 7 = -9 + 7

2a = -9 +7

2a = -2

2a/2 = -2/2

a = -2/2

a= -1

Was Pierre de fermat married?

Yes, he was married to his fourth cousin, Louise de Long.

6ms If C equals 22microfarad. what standard value must be used?

If an RC time constant of 6 ms is required and C= 22 ufd, then

R = (6 x 10-3) / (22 x 10-6) = 272.727 ohms (rounded)

The nearest EIA standard value for 2%, 5%, and 10% resistors is 270 Ω .

What is The sum of three consecutive integers is -420 find all three integers?

Possible the simplest math question ever.

-420 / 3 = -140.

So the numbers you need are -139 , -140 , -141.