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Scilla [17]
3 years ago
6

Can someone please help with this? will give brainliest

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

Answer:

0.004

Step-by-step explanation:

Just mutiply and divide by 2

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Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 6x(1/3) + 3x(4/3). You must justi
stealth61 [152]
Applying our power rule gets us our first derivative,

\rm f'(x)=6\frac13x^{-2/3}+3\cdot\frac43x^{1/3}

simplifying a little bit,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

looking for critical points,

\rm 0=2x^{-2/3}+4x^{1/3}

We can apply more factoring.
I hope this next step isn't too confusing.
We want to factor out the smallest power of x from both terms,
and also the 2 from each.

0=2x^{-2/3}\left(1+2x\right)

When you divide x^(-2/3) out of x^(1/3),
it leaves you with x^(3/3) or simply x.

Then apply your Zero-Factor Property,

\rm 0=2x^{-2/3}\qquad\qquad\qquad 0=(1+2x)

and solve for x in each case to find your critical points.

Apply your First Derivative Test to further classify these points. You should end up finding that x=-1/2 is an relative extreme value, while x=0 is not.

Let's come back to this,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

and take our second derivative.

\rm f''(x)=-\frac43x^{-5/3}+\frac43x^{-2/3}

Looking for inflection points,

\rm 0=-\frac43x^{-5/3}+\frac43x^{-2/3}

Again, pulling out the smaller power of x, and fractional part,

\rm 0=-\frac43x^{-5/3}\left(1-x\right)

And again, apply your Zero-Factor Property, setting each factor to zero and solving for x in each case. You should find that x=0 and x=1 are possible inflection points.

Applying your Second Derivative Test should verify that both points are in fact inflection points, locations where the function changes concavity.
8 0
3 years ago
Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
nlexa [21]

Answer:

(B) x + 4y = 7

Step-by-step explanation:

8 0
3 years ago
The island has 600 bikes and 900 people. What is the bike to person ratio
jasenka [17]

Answer:

2:3 (2 bikes for every 3 people)

Step-by-step explanation:

hope this helps

8 0
2 years ago
PLEASE HELP I GIVE THANKS
Sergio039 [100]
IT IS D!!!! i know because C stands for juice and your buying 2 of them and the 6 stands for the $6 for bagels, hope you get it right!
4 0
3 years ago
Convert 15 km per hour to meters per second
ipn [44]
1km = 1000m
1hr = 3600sec

Do proportions:
1km / 1000m = 15km / x
15000m = x

1hr = 3600sec

15000/3600 = 4.2m per second
Choice 4


6 0
2 years ago
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