Calculus

13 would be the answer if you were unable to differentiate between right and left boots. Most people say seven, but this is incorrect (the key word in the sentence is "PAIRS"), meaning that altogether there are 24 boots, and you must take one more than half of them in order to have a guarantee that there will be at least one pair.

However, if you are clever a more efficient answer would be 8. First you must separate the boots according to what foot they belong to. If you took 7 from one pile it would ensure that you have both colors for one foot. You would only need to take 1 boot from the other pile to complete at least 1 pair.

You seem to be unaware of the fact that you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.
The answer is 58523418.

answer = 1,000,000

Pi ≈ 3. 14159265358979323846

In calculus, arcs don't have to be curvy, they can be straight, so just draw a line segment that is 24 units long.

1cm = 10mm

There are an infinite number of both fractions and whole numbers.

Opposite of differentiation. Given the rate of change of something (for example, speed [which is rate of change of position] ) which might vary according to some formula, then integration is a way of calculating the total distance after a specified interval.

A thousand thousand equal one million.

7

1,800,000,000.

1 billion has nine zeros, so to write 1.8 billion in numbers you would simply need to move the decimal point nine places to the right, which would give you 1,800,000,000.

70 70

3 + 2/5*2 perform multiplication the division then addition. 3+ 4/5, get rid of the fraction to make this easier. multiply everything by five, 15+4, which = 19

The answer will depend on what a "reataurant" is!

Please clarify the equation. It does not make sense.

In the hope that it might answer your question, I will determine the length of the curve (hereinafter length) y=3x^43-332x^23 from x=-27 to x=216. length=integral from -27 to 216 of √(1+(129x^42-7636x^22)^2)dx. Solve this by Google searching "definite integral calculator", then clicking on the first result, which should be wolframalpha. Plug in the values there and you will have your answer!

It is a real number because for example water freezes at 0 degrees Centigrade

The answer depends on 12 WHAT!

346

first of all, y=2x + 13 is in the form of y= mx +b, so all you do is go up 13 units vertically on the coordinate plane and plot a point. Second, because m is your slope and 2 is in the place of the m, go up two vertically and over right one horizontally.

If repetition is allowed and order is important, then you have essentially a base-4 number system, with the numbers ranging from 00004 to 33334. The quantity of permutations in this example is 44 = 256. If repetition is not allowed, but order is important, then it is 4! = 24.

* * * * *

The above answer is perfectly correct. But, as stated in the answer, for permutations. However, according to the mathematical definition of combinations (as opposed to permutations), the order is irrelevant to combinations. 1234 is the same as 1423 or 4213 etc. Consequently, there can be only one 4-number combination from 4 numbers

Given y=ln(1/x)

y'=(1/(1/x))(-x-2)=(1/(1/x))(1/x2)=x/x2=1/x

Use the chain rule. The derivative of ln(x) is 1/x. Instead of just "x" inside the natural log function, it's "1/x". Since the inside of the function is not x, the derivative must be multiplied by the derivative of the inside of the function.

So it's

1/(1/x) [the derivative of the outside function, natural log]

times

-x-2=1/x2 [the derivative of the inside of the function, 1/x]

This all simplifies to 1/x

So the derivative of ln(1/x) is 1/x

8 x 106 = 848

Either 10000000000, 10^(10) or ten billion. Depending on how you wish the answer to be

2x + 2 + 5x = 23

2x +5x = 23 -2

7x = 21

X = 3