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worty [1.4K]
3 years ago
6

What would be the u to usub and what would be the steps to solving this integral?

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Presumably, ln⁵(<em>x</em>) is the same as (ln(<em>x</em>))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(<em>x</em>)))))).

Then substituting <em>u</em> = ln(<em>x</em>) and d<em>u</em> = d<em>x</em>/<em>x</em> gives

\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}

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A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the
vitfil [10]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

7 0
3 years ago
PLEASE HELP SOLVE!! WILL MARK THE BRAINIES
quester [9]

Answer:

ABC

Step-by-step explanation:

3 0
2 years ago
So, I'm completely lost on this. It's very easy to figure out as it's just writing a function, but I'm not entirely sure about t
Schach [20]
Width = w
length = w+2

f(w) =w(w+2) = w^2 + 2w.

Please, let me know whether the procedure is clear for you.

The answer is f(w)=w^2 + 2w.
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3 years ago
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Valentin [98]
The answer is in the photo.

8 0
3 years ago
Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic the
yKpoI14uk [10]

Answer:

The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed.  There is no leftover.

When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.

Step-by-step explanation:

a) Data and Calculations:

                        Food   Clothes  Housing  Energy  High Quality 100

                                                                                Proof  Moonshine

Farmer             0.25      0.15       0.25        0.18            0.20                    

Tailor                0.15      0.28       0.18         0.17            0.05

Carpenter        0.22      0.19       0.22        0.22           0.10

Coal Miner       0.20      0.15       0.20        0.28           0.15

Slacker Bob     0.18      0.23        0.15        0.15            0.50

Total                 1.00      1.00        1.00         1.00            1.00

6 0
3 years ago
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