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3 years ago

How many whole numbers are less than n+1

Mathematics

1 answer:

andreev551 [17]3 years ago

6 0

Answer:

$n$ .

Step-by-step explanation:

Assuming that $n \in Z^{+}$ , then all number less than $n+1$ are

$n+1-1=n$

Notice that the "plus one" indicates that the whole number shown by the expression $n+1$ indicates a whole number greater than $n\\$ by one unit. So, we just subtract one whole unit to achive a number less than the given expression.

Therefore, the answer is $n$ .

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Find the integration of (1-cos2x)/(1+cos2x)

slega [8]

Given:

The expression is:

$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

The integration of the given expression.

Solution:

We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

$I=\int \dfrac{\sin^2x}{\cos^2x}dx$

$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

It can be written as:

$I=\int (\sec^2x-1)dx$ $[\because 1+\tan^2 \theta =\sec^2 \theta]$

$I=\int \sec^2xdx-\int 1dx$

$I=\tan x-x+C$

Therefore, the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ is $I=\tan x-x+C$ .

8 0

2 years ago

The floor of an elevator in a building is 30.33 feet above ground level. It then travels down to the lower level of the building

Ivan

The traveled distance is 40.819 feet (downward)

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2 years ago

Solve 250 ÷ 5 ÷ 10 making sure to divide in the proper order.

Pavlova-9 [17]

It would be the letter A.

I hope this helps! <3

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2 years ago

Read 2 more answers

Need help! Please answer!

deff fn [24]

8 1/4 is given as a positive number so you could write it as +8 1/4

The opposite of positive is negative, so you would have -(+8 1/4)

The answer is A

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3 years ago

What’s the simplified form of -3+7–3r–12

VashaNatasha [74]

Answer:

-3r-8

Step-by-step explanation:

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3 years ago