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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 graph the rational function y equals 3 over x?

This graph looks very similar to the famous equation of y equal 1 over x; in either case you get a curve which asymtotically approaches infinity at the y axis where x=0, and which asymptotically approaches zero as x approaches infinity. The difference is that if it is 3 over x, all the values will be three times higher than if it is 1 over x. But the shape of the curve is the same.

If y equals 4x-6 find y if x equals 1?

y=4x-6 and x=1

Just replace the x in the first equation with 1 and solve.

y=4(1)-6

y= (-2)

How would the graph of y equals 4x plus 3 change if the y-intercept is changed to -2?

Find the two X intercepts. Set = to 0

4X + 3 = 0

X = -3/4 ( while Y = 3)

4X - 2 = 0

X = 1/2 ( while Y = -2)

Now you have two points for each parallel line and can draw the graph

What is x when 2x plus 5x plus 3 equals 9?

2x + 5x + 3 = 9

The two and the five can be added together because they are multiplied by the same term

7x + 3 = 9

Subtract both sides of the equation by three

7x = 6

Divide both sides by seven

x = 6/7

What would 5.99km converted to miles?

1 mile = 1.609344 kilometres

5.99 divided by 1.609344 = 3.722

What does Delta x divided by delta t stand for?

v=▲x/▲t

Formula of calculating velocity, x stands for the length the object has traveled, and t stands for how long it has been traveling.

1 2 plus 2 3 3 4 - 4 5 5 6?

If you mean 1*2 + 2*3*3*4 - 4*5*5*6 then you have 2 + 48 - 600 = -550

What is 2x2 equals 6x?

2x2 = 6x

2x2 - 6x = 0

2x (x-3) = 0

Now set each part being multiplied equal to zero separately: 2x=0 and x-3 = 0. That means x = 0, 3.

What does y equal if x equals 3?

y can be anything at all, as it represents an independent variable. In a concrete example, one may have x representing a family size, but y could be anything - even something totally unrelated, like how many elephants there are! One of the many purposes of graphing x with y is to demonstrate a relationship between them that can then be described as a function, which hopefully provides insight into the world.

How do you convert meters to Cubic centimeters?

The question cannot be answered as posed. Meters are a length. Cubic centimeters are a volume. The two units are different dimensions. The question is akin to asking to convert miles to degrees Fahrenheit.

On the off chance that the intended question was converting cubic meters to cubic centimeters,

1 m3 = 106 cm3

What are solutions to 2x plus 4 equals 4?

Normally, I would go through the entire procedure to work out the answer for such an equation, but it is a bit awkward in this case. The first step in this equation would be to subtract 4 from each side, leaving us with 2x=0. Obviously, x is therefore 0 as well.

What is 6x plus 3 equals x plus 8?

This is an equivalence relation that contains elements of the natural numbers together with an element (denoted by the symbol x) that is defined by some extension of N.