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Gnesinka [82]
3 years ago
5

Find maximum points y=11^(6x-x²) solve using derivative

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

\boxed{\sf \ \ \ maximum \ is \ 11^9=2357947691 \ \ \ }

Step-by-step explanation:

hello

y = 11^{(6x-x^2)}=exp((6x-x^2)ln(11))

so to know the maximum to y we can check the maximum of

f(x)=6x-x^2

f is derivable and f'(x)=6-2x

f'(x)=0 <=> x = 3

so the maximum is reached for x = 3

f(3)=18-9=9

and then

y = 11^9=2357947691

to be rigorous, we can write the variation table of y to show that there is only one maximum

hope this helps

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Based on the time it took the patient to recover and the mean and standard deviation, the z-score is 1.5.

<h3>What is the z-score?</h3>

The z-score for this patient who takes 7 days to recover can be found as:

= (Time taken to recover - Mean) / Standard deviation

Solving for the z-score gives:

= (7 - 5.2) / 1.2

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Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

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Givens

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  • y = wind speed
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  • t2 = 4 hours.

Substitution

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Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
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  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
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Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
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  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
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