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hammer [34]
3 years ago
7

Evaluate the integral (tan3x)dx

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
<span>The solution to the problem is as follows:

tan (3x) = sin(3x) / cos(3x) 

let u = cos(3x), du = -3 sin(3x) 

Integrating -1/3 du / u = -1/3 ln (u) = -1/3 ln (abs (cos(3x)) + constant

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
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The points S, T, U and V all lie on the same line segment, in that order, such that the
Evgesh-ka [11]
<h3>Answer: TV = 10</h3>

==============================================

Explanation

Let x be some positive real number such that

  • ST = 6x
  • TU = 2x
  • UV = 3x

leading to the ratio

ST:TU:UV = 6x:2x:3x = 6:2:3

Note how I effectively started with 6:2:3 and multiplied all parts of the ratio by x to get 6x:2x:3x

-----------------

The parts of the ratio add up to the longest segment SV

ST+TU+UV = SV

6x+2x+3x = 22

11x = 22

x = 22/11

x = 2

Therefore,

  • ST = 6x = 6*2 = 12
  • TU = 2x = 2*2 = 4
  • UV = 3x = 3*2 = 6

Note how ST+TU+UV = 12+4+6 = 22, which is the length of SV. This helps confirm we have the correct x value.

-----------------

The last step is to find the length of TV

TV = TU+UV

TV = 4+6

TV = 10

Or you could do

ST + TV = SV

12+TV = 22

TV = 22-12

TV = 10

8 0
3 years ago
Darlene went out to eat with her friends on Monday. She spent $14.89 on her meal. She wants to leave a 15% tip. Write an express
cluponka [151]

29. because If you add 15 and 14 you will get that answer

4 0
3 years ago
Find the area of the shaded region.
Lyrx [107]
1)
Area of bigger rectangle
A = (x+1)(x+1) = x^2 + 2x + 1

2)
Area of smaller rectangle
A = 5(x - 7) = 5x - 35

3)
The difference:
(x^2 + 2x + 1) - (5x - 35)
= x^2 + 2x + 1 - 5x +35
= x^2 - 3x + 36

area of the shaded region = x^2 - 3x + 36
6 0
4 years ago
Read 2 more answers
What percent of 4$ is 60 cents <br>no links ​
Eduardwww [97]

Answer:

15%

Step-by-step explanation:

You kind of have two ways to do this:

Way 1:

Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.

You can divide 100 by 6.66666667, and get 15%,

Way 2:

Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%

Hope that helps :)

5 0
3 years ago
There was 5/8 of pie left in the fridge. Daniel are 1/4 of the leftover pie. How much of pie did he have?
shusha [124]

Answer:

he had 1/4 of the pie; there's 3/8 left over. That's also 37.5% of the pie left over. Not sure what you're trying to get.

Step-by-step explanation:

1/4 is also 2/8

4 0
3 years ago
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