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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

X plus 3 plus 4x equals 13 so how much is x?

x + 3 + 4x = 13

3 +5x = 13 -- combine like terms

5x = 10 -- subtract 3

x = 2 --- divide by 5

"x" equals two

Is y equals -5x linear?

Yes it is linear, it is a horazontal line, or 0 slope

What is the meaining of E equals mc squared?

It means that there is a certain equivalence between matter and energy. For example, every amount of energy has an associated mass. c2 (the square of the speed of light) simply is the conversion factor. In SI units, that means that 1 joule of energy has an associated mass of 1 / (9 x 1018) kilograms.

How many thousandths of an inch are in 22 degrees at a diameter of 3.473?

First find the circumference, then multiply by 22/360 to get the arclength.

The circumference is pi time the diameter (or 2pi times the radius).

Pi times 3.473 is 10.9107512.

Multiplying that by 22, and dividing by 360 is .667 after rounding.

The answer is 667 thousandths.

What is the value of the expression 6-2 - 5 - 8x when x -2 and y 5?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. Also use ^ to indicate powers (eg x-squared = x^2).

There appears to be no y in the expression.

What are the solutions to the simultaneous equations of 3x -5y equals 16 and xy equals 7 showing work?

If: 3x-5y = 16 then -5y = 16-3x => y = -3.2+0.6x by dividing all terme by -5

If: xy = 7 then x(-3.2+0.6x) = 7 => -3.2x+0.6x2 -7 = 0

Solving the quadratic equation: x = 7 or x = -5/3

Solutions of the equations by substitution are: x = 7, y = 1 and x = -5/3, y = -21/5

How to solve this If 20 give 85 And 30 give 75 Then 25 x X?

You cannot solve this without additional information. From what information is provided in the question you may not assume that the relationship is linear.

How do you write a decimal in a fraction or mixed number in simplest form?

There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating.

Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10^d or 1 followed by d zeros. For example, for 34.56 d = 2 so the denominator is 100. and the fraction is 3456/100.


Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, and then you get a string of d digits which repeat. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10^c*(10^d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 123216 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900.


Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal.


In all cases, you should check to see if the fraction can be simplified.

What is the formula of exponegtial decay?

The general form is y(t) = a + y(0)*exp(-bt)where y(t) is value of the variable at time t.

the starting value is a + y(0) and the asymptotic value (as t -> infinity) is a.

3 boxes containing 2 marbles each first has 2 red second has 2 green third has 1 red 1 green the box labels are wrong removing 1 marble will make the labels correct what marble do you remove?

Make sure that they are connected correctly to the computer and make sure that they are plugged in to the right compartment. Check and see if they are plugged into the outlet(that you plug everything in like lamps and phones and vaccums and what not)... And you should probably turn them on :)