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Kipish [7]
3 years ago
6

Integrate (sqrt((x-1)/x^5)) using substitution (no trig substitution) ...?

Mathematics
1 answer:
Dominik [7]3 years ago
8 0
√ (( x - 1) / x^5) = 1/√x^4 · √(1 - 1/x )= 1/x² · √( 1 - 1/x )
Substitution:
u = 1 - 1/x
d u = 1/x² dx
\int { \frac{1}{ x^{2} } * \sqrt{1-1/x} } \, dx= \\ = \int { \sqrt{u} } \, du= \\ =2/3u \sqrt{u}=   \\ =2/3(1-1/x) \sqrt{1-1/x}+C

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You deposit $365
777dan777 [17]
$365 increased to $428
365/428=1.17
which translates to an 117% increase

5 0
3 years ago
Help plz math question. EXPLAIN HOW YOU GOT THE ANSWER. 30 PTS btw thx if u help
pentagon [3]

Answer:

256

Step-by-step explanation:

4^4^4 = 4^(4^4) = 4^256

so written in base 4, there will be 256 zeroes after a 1.

This translates to approximately 154 digits in decimal.

Just like 2^2^2 =  2^4

there will be four zeroes after a 1.

2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).

4 0
3 years ago
Which graph represents the function. H(x)=
scZoUnD [109]

Answer:

See attached picture.

Step-by-step explanation:

h(x) has two functions in it. It has y = x and y =-x. Both have a slope of 1 or -1 and are diagonal lines. This means only 2 graphs of the four choices are possible answers.

Notice that y = -x has an interval that is greater than or equal to. This means it is marked with a closed or filled in dot at its start. This means choice B is the correct choice.

8 0
3 years ago
What is −10−f=−6f+10
sammy [17]
-10-f=-6f+10
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4 0
3 years ago
If you can get an answer to any question, what would you ask? You toss a fair coin 4 times. What is the probability that (round
Andrew [12]

Answers:

a) 0.0625

b) 0.9375

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

Work Shown:

The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625

The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375

You can think of it like this

P(getting all four heads) + P(getting at least one tail) = 1

The phrasing "at least one tail" means "one tail or more".

4 0
3 years ago
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