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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 84 times 2.2 divided by 14?

84 * 2.2 / 14 = 13.2

This answer was calculated according to the order of operations.

Rule 1: First perform any calculations inside parentheses.

Rule 2: Next, from left to right, do all multiplications and divisions.

Rule 3: Last, from left to right, do all additions and subtractions.

Zoom range from 3x to 4x?

'3x' means 'three times', and '4x' means 'four times'. '4x' is obviously rather greater than '3x', but neither will bring an object ten miles away into your back garden.

How do you achieve12 log reduction in food?

Depends what the food source is. Many products can be steam sterilized using a safesteril process. Google safsteril

If something measures 23.3 in x 17.4 in x 6.95 in what is its cube?

This question does not make sense. An object with different measurements for length , breadth and height cannot be a cube. And if the measurements are not l, b and h but something else then there is no way of calculating the size of the object.

How do you factorise x²-4 plus 3?

I am thinking you must mean x^2-4x+3 otherwise it would be x^2-1 which would factor as (x+1)(x-1).
In any case, it factors as (x-3)(x-1). Just look at the last number, 3 and note it has factors 3 and 1. Now need those factors to add up to -4 and their product to be positive. We must pick -1 and -3.

What is the greatest common factor of 16 60 and 90?

  • the factors of 16 is 1,2,4,8,16
  • the factors of 60 is 1,2,3,4,6,10,15,20,30,60,
  • the factors of 90 is 1,90.2,45,3,30,5,18 and so on
hope this helped!!!!

What does X equals in this problem X squared plus 4 equals 0?

If we start with x2 + 4 = 0, the next conclusion is that x2 = -4. All real numbers have a positive result when multiplied by themselves, so therefore we are dealing with an imaginary number. The square root of minus four is 2i.

What can infinity be used for?

One must be careful when using infinity in math. Infinity is a concept - not a value. Sometimes, we may be tempted to try treating infinity as a value or a variable. Whenever we want to use infinity in math, we generally do so through the concept of limits.

For example, instead of saying:

1/∞ = 0

We instead say:

lim 1/x = 0

x→∞

The use of limits allows us to use infinity without falling into the trap of attempting to do arithmetic with infinity, which is not defined. In calculus, we use limits and L'Hopital's rule to get around this, and allows us to evaluate functions which simplify to an indeterminate form (0/0, ∞/∞, 0*∞, 0^0, ∞^0 and ∞ - ∞).

Sometimes we seemingly treat infinity as a value when describing asymptotes or end behavior of a function, for example:

lim 1/x = ∞

x→0+

It is important to realize that we are not saying that 1/0 = ∞, but we are ACTUALLY saying:

"As x approaches 0 from the right, 1 / x approaches infinity."

What is x-x-7 equals 0?

There is no answer to this (for any value of x)

That's because x-x = 0

So x-x-7 is always -7, and never 0

What is the soulution for this equation 2x-3 equals 5?

2X - 3 = 5

add 3 to each side

2X - 3 + 3 = 5 + 3

2X = 8

divide each side integer by 2

(2/2)X = 8/2

X = 4

--------------check in original equation

2(4) - 3 = 5

8 - 3 = 5

5 = 5

checks

What is the answer to 4x plus 3 equals 16?

4x + 3 = 16

Therefore, 4x = 13

x = 13/4

Therefore, x = 3.25

Is the following equation solvable - y equals y plus x?

If y = y + x then x must be 0

Otherwise the equation is meaningless.

What is the distance between z-intercept from x-intercept in the equation ax plus by plus cz equals d?

-- At the z-intercept, x=0, y=0, cz=d, so z=d/c.

-- At the x-intercept, y=0, z=0, ax=d, so x=d/a.

The distance between the two points is sqrt[ (d/c)2 + (d/a)2 ] or d sqrt[ (1/c)2 + (1/a)2 ].

Reduce 3x plus 5 2x plus 1?

If you mean solve for X:

3x + 52x + 1 = 0

55x = -1

x = -0.02

How do you solve 2- bracket y plus 2 bracket equals 3y?

2 - (y + 2) = 3y

Remove brackets: 2 - y - 2 = 3y

Combine like terms: 0 = 4y

Divide both sides by 4: 0 = y