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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 solve this question 4 plus y equals 18 - y?

Subtract 4 from both sides and add y to both sides. This would give you 2y=14.

Then, divide both sides by 2. y=7.

What number if you continued to count by 1 every second would you come up with after about 100 years?

52,560,000

The way you can get that number is simple:

10 x 0.10 = 1

1 x 60 = 60

60 x 24 = 1,440

1440 x 365 = 525,600

525,600 x 100 = 52,560,000

You see, you start out by multiplying the number of numbers you can count every 10 seconds, you multiple that number by the number of minutes in a hour, you multiple that number by the number of hours in a day, you multiple that number by the number of days in a year, and you multiple that number by 100 years.

So, if you constantly counted by 1 every 1 second, for 100 years, the number you would end up with is 52 billion, 560 hundred thousand.

Solving quadratic equation using the 0 prinicple?

if, for example, 0=x^2+5x+6, then:

0=(x+3)(x+2)

the numbers '3' and '2' must add to give you 5, and multiply to give you 6.

SO:

0=x^2+(a+b)x+(ab)x

0=(x+a)(x+b)

What is x in 2x plus 3 equals 9?

common it's very easy !!

2x + 3 = 9

2x = 6

x = 6/2

x = 3

How do you create a quadratic model from a list of data x values 140 150 170 175 205 y values 1.4 1.25 0.93 0.78 0.43 please please please help?

The step-work involved in proving this would be too long and detailed to show here, but the end result is this:

We're given three verticies, defined by the points (x1, y1), (x2, y2), and (x3, y3). We want to use them to define a parabola in this format:

f(x) = ax2 + bx + c

We can find our a, b and c coefficients with the following equations:

a = [y1(x2 - x3) + y2(x3 - x1) + y3(x1 - x2)] / [x12(x2 - x3) + x22(x3 - x1) + x32(x1 - x2)]

b = (y1 - y2) / (x1 - x2) - a(x1 + x2)

c = y1 - a(x12) - b(x1)

Why can't we write equals in place of equals?

You can write "equals".

It would be perfectly fine to say "2 + 2 equals 4".

It's jsut that, it's much more common to use "=", just because it's easier probably.

How do you use quadratic formula to solve one-third minus 2 divided by 2y plus one equals 3 divided by y?

1/3 - 2/(2y + 1) = 3/y

Provided that y ≠ -1/2 and y ≠ 0,

multiply through by 3y(2y+1) to give

y(2y + 1) - 6y = 9(2y+1)

that is, 2y2 + y - 6y = 18y + 9

or 2y2 - 23y - 9 = 0

The quadratic formula then gives y = [23 ± sqrt{232 - 4*2*(-9)}]/(2*2)

= [23 ± sqrt(601)]/4

so that y = -0.3788 or y = 11.8788

Is 18 x 52 stronger than 10 x 50?

Two numbers multiplied together produce a number. A number is neither strong nor weak.

Is 5 a solution to -3x plus 211?

( -3x + 211 ) is not an equation, so it doesn't have a 'solution'. It's not asking

a question, so it doesn't need an answer.

It's just an expression that stands for a number, and there's no way to tell

what number it stands for until you find out what number 'x' is .

If 'x' is 5, then the expression stands for the number 196 .

If 'x' is 17, then the expression stands for 160 .

If 'x' is 55, then the expression stands for 46 .

If 'x' is something else, then the expression stands for some other number.

How do you factor x2-20 plus 100 equals 0?

I'm guessing you meant to say x2 -20x +100. This equation is in ax2+bx+c=0 (1 is the "a" term, -20 is the "b" term, and 100 is the "c" term. You have to think to yourself, what factors of the "c" term (100) will add to the "b" term (-20) These factors are -10 and -10 because when you add these two terms you get -20 and when you multiply these two terms you get 100. Now your equations should read like this: (x-10)(x-10) = 0 . then you have to get x by itself by adding 10 to both sides. Thus, 10 is your factor.