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zhenek [66]
3 years ago
9

A certain car depreciates at

Mathematics
1 answer:
patriot [66]3 years ago
7 0
It will be worth $10,518.75
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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
3 years ago
Round 843 to the nearest ten.
alina1380 [7]
Hundreds Column:

8

Tens Column:

4

Ones Column:

3

The number 3 lies closer to 0, therefore the answer is <u>840</u>.
7 0
3 years ago
What is the least common multipul of 6 and 8?
Bogdan [553]

Answer:

Step-by-step explanation:

24

The LCM of 6 and 8 is 24. To find the least common multiple (LCM) of 6 and 8, we need to find the multiples of 6 and 8 (multiples of 6 = 6, 12, 18, 24; multiples of 8 = 8, 16, 24, 32) and choose the smallest multiple that is exactly divisible by 6 and 8, i.e., 24.

5 0
3 years ago
Help me pls I don’t know how to do this
rusak2 [61]

Answer:

radius=6.68cm

Step-by-step explanation:

Formula to find radius:

r=\frac{C}{2\pi }

r=42/2\pi

r=42/2(3.14)

r=6.68cm

<em>hope this helps......</em>

6 0
3 years ago
Round 4356.02247592 to the 3 decimal places
Arturiano [62]

Answer:

4356.020

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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