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jonny [76]
2 years ago
13

*I WILL MARK YOU BRAINLIEST!!!!*

Mathematics
1 answer:
Anastaziya [24]2 years ago
3 0

Answer:

The answer would be -9 and -3 which would be B and D

Step-by-step explanation:

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
ludmilkaskok [199]

Answer:

\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}

Step-by-step explanation:

Given:

y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}

using the properties of log we can take the power 1/2 and multiply it.

y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)

now we can differentiate:

\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)

\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)

\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}

this is our answer!

8 0
3 years ago
35 solve the following syste
blondinia [14]

Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

   9y-54+4y=20

                  13y=74

                     y=5.692

Substituting y=5.692 in x=3 y-18, we get,

x=3 (5.692)-18

  =17.076-18

x=-0.923

Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

3 (3)+4 (7)>20

      9+28>20

            37>20

Also, substituting (3,7) in x, we get,

3

3

3

Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

8 0
2 years ago
On Monday, the temperature at 10 a.m. at Sam’s house was –6° Fahrenheit. The
Alika [10]

Answer:

8

Step-by-step explanation:

to find the answer, subtract the second amount (2) from the first amount (-6), -6 - 2 = -8, the temperat decreased by 8

6 0
2 years ago
Read 2 more answers
Two airplanes start at the same place and travel in opposite directions,one at 395 miles per hour and the other at 422 miles per
Hitman42 [59]

plane 1 travels 395 miles in 1 hour

plane 2 travels 422 miles in 1 hour

together, they travel (395+422) 817 miles in 1 hour

to have 2451 miles between then, they'd need to travel

\frac{2451 miles}{817 miles}=3

so in 3 hours, they'll be 2451 miles apart

3 0
3 years ago
O is the centre of the circle and ABC and EDC are tangents to the circle
nataly862011 [7]

Answer:

what is your question?

7 0
3 years ago
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