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rusak2 [61]
3 years ago
8

Find the integral of 1/sqrt(x^2-9)

Mathematics
1 answer:
Vesna [10]3 years ago
6 0
Let x = 3secβ, then dx = 3secβtanβ

∫dx/√(x²-9) = ∫[(3secβtanβ)/(3tanβ)]dβ
                 = ∫secβdβ
                 = ln |tanβ - secβ| + c
                 = ln |√(x² - 9)/3 - x/3| + C
                 = ln |√(x² - 9)/x| + C
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A football stadium will hold 965 students. The cost for a football ticket Is $13 . If a football game is sold out, how much mone
Mekhanik [1.2K]
13×965= $12,545
each person pays $13 and 965 people come so you times them together to get the answer
7 0
3 years ago
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. Th
Dvinal [7]

Answer:

27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.

Step by Step:

4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.

So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7

2.7 ounces of blueberry juice in each smoothie.

Now you have to multiply every ingredient by 10, since there are 10 smoothies.

4 * 10 = 40

1.3 * 10 = 13

2.7 * 10 = 27

You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.

7 0
2 years ago
25 POINTS PLEASE HELP
Minchanka [31]

Answer:

corresponding angles

1=5

3=7

2=6

4=8

alternative exterior

2=7

1=8

alternative interior

4=5

3=6

3 0
3 years ago
Read 2 more answers
The sum of w and 54 is equal to s. Let s = 72. Which equation can be used to find the value of w? A. w – 54 = 72 B. w – 72 = 54
Masteriza [31]
W + 54 = s

w + 54 = 72

Answer: C

Hope this helps!! :)


7 0
3 years ago
Evaluate (-4)(8)(-1)=
BartSMP [9]

Your answer is 1,024. Hope this helps!


Work:

-4 x 8 = -32

-32 x -32 = 1,024

8 0
3 years ago
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