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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 to solve y plus 2 y equals 4?

y + 2y = 4

(2+1)y = 4

3y = 4

(3y)/3 = 4/3

y = 4/3 = 1.3333333333333333333

5000 mm equals to how many inches?

5000 mm = 500cm = approx 196.9 inches

Direct Conversion Formula5,000 mm*

1 in

25.4 mm

=

196.8503937 in

A liter of oil is how much in a kilogram?

A liter of water IS a kilogram.

Since oil is lighter, it's about .625 kg

How do you figure out X in the equation ax equals b-x?

ax = b - x

Add 'x' to each side:

ax + x = b

Factor the left side:

a (x+1) = b

Divide each side by 'a':

x + 1 = b/a

Subtract 1 from each side:

x = b/a - 1

How do you solve 9x plus y equals 22?

9x + y = 22

to solve for x-

  1. subtracy y from both sides --> 9x = 22 - y
  2. divide by 9 on both sides --> x = (22/9) - (y/9)
to solve for y -
  1. subtract 9x from both sides --> y = 22 - 9x

What is the domain range and asymptote of gx equals 2 to the power of x minus 3?

The domain is (-infinity, infinity)

The range is (-3, infinity)

and the asymptote is y = -3

Transformation that enlarges or reduces a figure?

Scaling changes the size of a figure.

If the scale factor is greater than 1, the figure is enlarged;

if the scale factor is less than 1, the figure is reduced.

I the scale factor is equal to 1, the figure's size is unchanged.

If there is a centre of enlargement, the new figure can be drawn exactly by multiplying the distance of every point from the centre of enlargement, multiplying this by the scale factor and drawing the new point at this distance from the centre of enlargement. (For a polygonal figure, only the vertices need be measured and the lines between the vertices of the original figure drawn in).

With a centre of enlargement, the scale factor can be negative. In this case, the distance to the new points is measured on the opposite side of the centre to the original points, so that it is a straight line form the original point, through the centre to the new point.

How do you solve f(x)2x-1?

I assume you mean:

f(x) = 2x - 1

There is really nothing to "solve" here. This is the description of a function. For a specific value of "x", you can replace that value, to find out the value of the function. This is basically the same as evaluating:

y = 2x - 1

Y x plus 7?

Placing a question mark at the end of a list of expressions or numbers does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.

How do you solve for x in 21x plus 2?

Your question is incomplete.

21x + 2 = [?]

Whatever one does to one side they must do to the other so even if you divided by X you would have:

23 = ?/X

Solve 5x2 - 55 equals 90?

1) 5x2-55=90

+55 +55

2) 10x=145

/10 /10

x=14.5

Is fx -x2 a function?

f(x) = -x2 is a function.

The equation is solved with just f(x) on one side, and if you were to graph it, it would pass the vertical line test.

What is the answer to -4x 33 equals 7x-44?

I don't know if you typed your question wrong... but I see it as

33-4x = 7x-44

33+44=7x+4x

77=11x

77/11=x

x=7