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FinnZ [79.3K]
3 years ago
7

How do I find the derivative of 2(f(x)+g(x))?

Mathematics
2 answers:
kramer3 years ago
8 0
\bf 2[f(x)+g(x)]\implies 2f(x)+2g(x)\implies 2\cfrac{df}{dx}+2\cfrac{dg}{dx}\\\\
-------------------------------\\\\
\cfrac{1}{2}\left[ f(x)\cdot g(x)  \right]\implies \cfrac{1}{2}\left[ \stackrel{product~rule}{\cfrac{df}{dx}\cdot g(x)+f(x)\cdot \cfrac{dg}{dx}} \right]
\\\\\\
\cfrac{1}{2}\cdot \cfrac{df}{dx}\cdot g(x)+\cfrac{1}{2}\cdot \cfrac{dg}{dx}f(x)
insens350 [35]3 years ago
7 0

 2(f(x)+g(x))

Use the product rule.

2[f'(x) + g'(x)] + (f(x)+g(x)) • (0)

Answer: 2(f'(x)+ g'(x))

Do the same for question 2.






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Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44
Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

s=r\theta

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43

So, radius = 6.34

Now, finding central angle:

s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

  • brainly.com/question/8618791
  • brainly.com/question/2115496
  • brainly.com/question/10610299

#learnwithBrainly

5 0
3 years ago
A fraction with a numerator of 1 is called a _ fraction
Oksi-84 [34.3K]

Answer:

Unit fraction

Step-by-step explanation:

A unit fraction means 1 unit is the value of the numerator. This means 1 is in the numerator.

8 0
3 years ago
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HELP! WILL GIVE BRAINLIEST! DO NOT TAKE ANSWERS OFF ONLINE, THEY ARE WRONG!!!! The following is an incomplete paragraph proving
ohaa [14]

Answer:

The correct option is B.

Step-by-step explanation:

Given information: AB\parallel DCAB∥DC and BC\parallel ADBC∥AD .

Draw a diagonal AC.

In triangle BCA and DAC,

AC\cong ACAC≅AC (Reflexive Property of Equality)

\angle BAC\cong \angle DCA∠BAC≅∠DCA ( Alternate Interior Angles Theorem)

\angle BCA\cong \angle DAC∠BCA≅∠DAC ( Alternate Interior Angles Theorem)

The ASA (Angle-Side-Angle) postulate states that two triangles are congruent if two corresponding angles and the included side of are congruent.

By ASA postulate,

\triangle BCA\cong \triangle DAC△BCA≅△DAC

Therefore option B is correct

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3 years ago
How many groups of 100 can you take out of 941 when diving by 3?
Semenov [28]

Answer:

300 times

Step-by-step explanation:

when you divide 941 by 3, you have to divide it into the hundreds place first.

3 fits into 900 (it's the hundreds place) 300 times

to check:

3 * 300 = 900  

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Darsh’s simulated samples:
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sample of 100 students

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The larger the sampl the more diverse your answers/ data will be.

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