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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

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.

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

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.

3x plus 4 equals -11?

3x + 4 = -11

Subtract 4 from both sides: 3x = -15

Divide both sides by 3: x = -5

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 :-)

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 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)

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

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 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 10 plus x equals 5?

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

Its solution is [ x = -5 ].

How do you convert a degree into a number?

A degree is a unit of measure, it is not itself a number. It may be a measure of an angle or temperature or power. A degree cannot be converted to a number

How many dights of pi are known?

As of October 2011, around 5 trillion. See the link below.

What does the mx in y equals mx plus b?

y=mx+b

Y is the value on the vertical axis, the dependent variable.

X is the value on the horizontal axis, the independent variable.

m is the slope of the line. Slope is rise/run. The equation for slope is m=(y2-y1)/(x2-x1). It describes how many units up or down the graph travels for every unit traveled to the right. (If it's written as a fraction, like 2/5, that means two units up for every five units right).

b is the y-intercept. This is the y value when the x value is 0, when the line crosses the y-axis.

What is integration of eˆ2x?

Original function: f(x) = e2x

Integrated function: F(x) = e2x/2

Evidence: F'(x) --> f(x) = e2x ; F'(x) = 2e2x/2 = e2x = f(x) Q.E.D

What does it mean when you have a blue horizontal line in the square window and 5 vertical lines in the round window?

Mostly the results for different pregnancy tests differ according to the manufacturer. I suggest reading the instructions form the package or any pamphlet or manual that came with the test