$\displaystyle \int (\sin 2x + \cos 2x)~ dx\\\\=\displaystyle \int \sin 2x ~dx + \displaystyle \int \cos 2x ~ dx\\\\=-\dfrac{\cos 2x}2 + \dfrac{\sin 2x}2 +C\\\\=\dfrac{\sin 2x - \cos 2x}2+C$

3 0

2 years ago

Determine the function

zalisa [80]

For each increment in x, the output is multiplied by 2. The function could be written the way a geometric sequence can be written:

... f(x) = 5·2^(x-1)

Or, it could be simplified to ...

... f(x) = (5/2)·2^x

The first 5 terms will be

... 5, 10, 20, 40, 80

5 0

3 years ago

In an election, there were only two candidates for the post of president. The winning candidate got 53% of the total votes. His

Klio2033 [76]

Answer:

(a)100,000

(b)53,000

Step-by-step explanation:

(a)

Let the total votes be x.

Given 31% of x=31000

$31 \times \frac{x}{100}$

$= 31000$

$x= 100 000$

So,total votes are =100,000

_________________________________

(b)

$Winning \: candidate \: got = \frac{53 \times 100000}{100}$

$=53,000$

Winning margin =53000−31000=22000.

= $22000$

Therefore, the Winning margin is 22000.

_______________________________

6 0

3 years ago

Read 2 more answers

What is the solution and what are the steps to finding it?

gtnhenbr [62]

The answer is 4.7x -11.6

6 0

3 years ago