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____ [38]
2 years ago
15

Solve the problem below and show your work

Mathematics
1 answer:
ehidna [41]2 years ago
6 0

The derivative of the function is 2x/(3+x²).

<h3>What is Derivative?</h3>

The derivative is the instantaneous rate of change of a function with respect to one of its variables.

Given function:

y= ln(3+x²)

Differentiating and applying chain rule

=1/(3+x²) d/dx(3+x²)

=1/(3+x²) (2x)

= 2x/(3+x²)

Hence, the derivative of the function is 2x/(3+x²).

Learn more about derivative here:

brainly.com/question/124529

#SPJ1

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Answer:

5.25 miles.

Step-by-step explanation:

What I did was I took 3/4 and made it into its decimal form which is 3/4. I then times it by 7 to get 5.25.

5.25 miles is your answer.

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3 years ago
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What is 90% of 50? Someone please help. I have to write this for my question to get a good answer.
irina1246 [14]
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Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean
Zinaida [17]

Answer:

E[R] = 99 Ω

\sigma_R = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, E[R] = \frac{a+b}{2}  = \frac{95+103}{2} = \frac{198}{2} = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333

Hence,

The standard deviation of resistance, \sigma_R = \sqrt{V(R)} = \sqrt5.333 = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

z_1 = \frac{102-99}{2.3094} = 1.299

z_2 = \frac{98-99}{2.3094} = -0.433

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0
3 years ago
The radius of a circle is 20cm. What is its area? ( ratio= 3.14)<br><br> ​
Musya8 [376]

Answer:

A=100π=314.16 cm 2 to 5 significant figures

Step-by-step explanation:

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slamgirl [31]

Answer:

a) A U B = {21,23,24,25,27,29,30,31 }

b) A n C = {24,30}

Step-by-step explanation:

A {21,24,27,30}

B {21,23,25,27,29,31}

C {20,22,24,26,28,30,32}

a) A U B = {21,23,24,25,27,29,30,31 }

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