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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

Why is it that if you divide zero to any number it is equal to zero and if you divide any number to zero it is an infinite number?

Think of a pizza that has 12 slices. You will eat the slices from the result of your division.

1. In the first example, lets say you eat 3 out of the 12 slices. That is expressed as 3/12 in the math world.

1. Second example will be 0 divide by 12 (0/12 or zero divided by 12). This means you will get zero of the 12 slices. You have no slices to eat.

2. Third example is division by zero (12/0). First of all this does not exist. You cannot get 12 slices from a pizza that has 0 slices. Think of this as you got to the pizza box and you WANTED to eat 12 slices but all your friends ate all the slices before you. The pizza is gone and does not exist anymore. So 12/0 does not exist in the math world.

Dividing by 0 is undefined. It's not possible.

Ow would you would graph the linear equation y equals -2x plus 6?

y = -2x + 6

slope = m = -2 = -2/1 = rise/run

y-intercept: 6

x-intercept: 3

y = 0

0 = -2x +6

0 + 2x = -2x + 2x + 6

2x = 6

2x/2 = 6/2

x = 3

So we have two points (3, 0) and (0, 6). We can find another point using the slope -2/1.

Use the point (0, 6):

(0 + 1, 6 - 2) = (1, 4)

Draw the line that passes through the points (0, 6), (1, 4), and (3, 0).

What would each side be if there was an 8 by 8 octagon?

If the "8 by 8 octagon" refers to the distances between its opposite sides rather than opposite vertices (its principal diagonals), then the side lengths are 8*[sqrt(2) - 1] units of length.

What is X to the fourth power minus sixteen?

Taking the question literally, the answer would be: it is a polynomial expression in the variable x. When factored, x4 - 16 = (x2 - 4)(x2 + 4) = (x - 2)(x + 2)(x2 + 4)

How do you factor the expression 3x to the power of 2 plus 48x plus 192?

3x^2+48x+192=3(x^2+16x+62).

You can factor the part in the parentheses using the quadratic formula: x= (-b[+-]Sqrt[b^2-4ac])/(2a).

How do you solve 7h squared-56h equals -112?

7h2-56h=-112

7h2-56h+112=0 7(h2-8h+16)=0

7(h-4)2=0

(h-4)2=0

h-4=0

h=4

7(16)-56(4)=-112

112-224=-112 so the answer is correct.

1 divided by 3x plus 6 equals 9?

1/3x + 6 = 9 Restating the problem

x + 18 = 27 I multiplied by 3

x = 9 I subtracted 18 from 27

How do you convert y plus 5 equals x2 plus 4x into general parabola form?

First, form a square for x. Because the x2 term has a coefficient of one, this can be done by taking the square of half of the coefficient of the x1 term and adding it to the "x" side of the equation. In this case, half of 4 is two, squared is four. So, add four to both sides of the equation.

y+5+4=x2+4x+4

Now, simplify the square.

y+9=(x+2)2

Now solving for y yields the following:

y=(x+2)2-9.

Is it true that if you are good at math and you enjoy math you can do engineering?

Possibly. You also have to be good at and enjoy engineering concepts which do involve math.

42-2x equals 5x then x equals?

the answer is 6. add 2x to each side, you get 42=7x. divide 42 by 7. not difficult, this is a basic question, go to extra help or something at school.