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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 one way to break apart 4 X 5 using multiplication facts that you know?

I don't need to break "4 x 5" apart, because just as it is, "4 x 5" is a multiplication fact

that I know. If you start doing your own work, you'll know it too, in almost no time at all.

What is -15 equals 3x - 12?

- 15 = 3X - 12

add 12 to each side

12 + - 15 = 3X - 12 + 12

- 3 = 3X

divide both sides integers by 3

- 3/3 = (3/3)X

- 1 = X

======check in original equation

- 15 = 3(- 1) - 12

- 15 = - 3 - 12

- 15 = - 15

=========checks

What is the solutions for the equations y-4x 10 y2x-6?

I assume you mean this system.

Y - 4X = 10
Y = 2X - 6

You are given Y, so insert into top equation to find X.

(2X - 6) - 4X = 10

- 2X - 6 = 10

-2X = 16

X = - 8
===========find Y, bottom equation

Y = 2(- 8) - 6

Y = - 16 - 6

Y = - 22
=========
=== You try checking it.

What is gernal value of log y?

Log(y) can be any number, positive or negative, no limits.

It all depends on the value of 'y'.

What formula is used to calculate delta T?

(delta)T=Kf (freezing point depression contstant_ x m (molality) x i

Transversal means what?

A transversal is simply a line that passes through two or more other lines . (the lines should be in the same plane) Transversals are important becasue if a transverals passes through or intersects two parallel lines we get some special angle congruences. The alternate interior angles are on opposite sides of the transversal line and inside the lines being transversed. Alternate exterior angles are on opposite sides of the transferal line and outside the lines being transversed. The alternate interior and alternate exterior angles are congruent if the lines being crossed by the transversal are parallel ( NOT to each other, the two alternate interiors are congruent and the two alternate exteriors are congruent.

If wz equals 46 what is the value of y?

'y' can be anything you want it to be, and 'wz' will still be 46.

What is 1565 equals x5?

1,565 = x5

1,5651/5 = (x5)1/5

1,5651/5 = x5/5

1,5651/5 = x

4.3541 = x

What is Y equals x - 4?

This is the equation of a line in which the slope is 1 and the y-intercept is -4.

Solve 3X plus 7Y equals 14 for Y?

3x + 7y = 14

Subtract 3x from each side:

7y = -3x + 14

Divide each side by 7:

y = -3/7 x + 2

3x plus 4 equals -11?

3x + 4 = -11

Subtract 4 from both sides: 3x = -15

Divide both sides by 3: x = -5

52 equals 2x plus 6x-4?

52 = 2x + (6x +4)

52 = 2x + 6x + 4 (can skip this step)

52 = 8x + 4

52 - 4 = 8x

48 = 8x

48/8 = x (can skip this step)

6 = x

What is the answer to the equation 15-2y equals 3y?

15 - 2y = 3y

Add 2y to each side to get:

15 = 5y

Divide both sides by 5 to get:

y = 3

Sorted :-)

What is D x d x 20?

Dxdx^(20)

Combine all similar variables in the expression.
Dxdx^(20)=dDx^(21)

To find the derivative of dx^(21)D, multiply the base (D) by the exponent (1), then subtract 1 from the exponent (1-1=0). Since the exponent is now 0, D is eliminated from the term.
Dxdx^(20)=dx^(21)

The derivative of Dxdx^(20) is dx^(21).
dx^(21)

How do you find derivative of ln x?

d/dx(in x)

= 1/x

The proof is very confusing, so I just commit this to memory.

What is 10 plus x equals 5?

It's one of the simplest linear equations in 'x' that can be written.

Its solution is [ x = -5 ].