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Ira Lisetskai [31]
3 years ago
6

Please answer questions from the following images!

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0
Can you send more information about this problem
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The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+
jekas [21]

Answer:

Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

Step-by-step explanation:

R'(x)=(x+1)\ln(x+1)

Integrate with respect to x.

R(x)= ∫(x+1)\ln(x+1) dx

Take x+1=u

Differentiate with respect to x

dx=du

So,

R(x)= ∫u\ln(u)\,du

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

R(x)=  \frac{u^2}{2}\ln(u) -  ∫\frac{u^2}{2}\frac{1}{u}\,du

=  \frac{u^2}{2}\ln(u) -  ∫\frac{u}{2}\,du

Put u=x+1

R(x)=   \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}

To find total revenue from the sale of the first 12 calculators, put x=12

R(x)=   \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}

Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

4 0
3 years ago
Describe the solutions of 5 <n​
Ainat [17]

Answer:

D

Step-by-step explanation:

All real number less than 5

4 0
3 years ago
Rewrite the equation 6 = 9(x + 3) using the Distributive Property
KonstantinChe [14]

The answer is:

6 = 9x + 27

depending on what you are supposed to do.

4 0
3 years ago
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Please help fast
beks73 [17]
You are given that PS ≅ RS as indicated by the single has mark.

You are given that ∠PST ≅ ∠RST as indicated by the single arc.

You know the segment ST is congruent to itself by the reflexive property.

That is, you have two congruent sides and the angle between them, so you can claim the triangles are congruent by the SAS postulate.

Selection C is appropriate.
3 0
3 years ago
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PLEASE HELP
Liono4ka [1.6K]
You can solve for sides of a triangle using the following equation. 

A = arccos (b^2 + c^2 - a^2/2bc)

And likewise for other variables by moving the letters. 

Ultimately, in this problem you get the following angle measures:

15.87
23.97
140.16
8 0
3 years ago
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