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2 years ago

6

Solve the equation X=

1 answer:

4vir4ik [10]2 years ago

7 0

Step-by-step explanation:

I think the answer is x=70

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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

2 years ago

BOBTHEBUILDER can do it

Lelechka [254]

Answer:

YES HE CAN

Step-by-step explanation:

3 0

2 years ago

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1/3x+y=4 help please?

professor190 [17]

$\frac{1}{3}x+y=4\ \ \ \ \ |subtract\ \frac{1}{3}x\ from\ both\ sides\\\\y=4-\frac{1}{3}x$

8 0

3 years ago

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Help 1 and 4 fast please

AlekseyPX

Answer:

1)

$\leq : Less than or equal to\\\geq :Greater than or equal to\\:greater than$

Step-by-step explanation:

N/A

also what is your inequality problem

3 0

3 years ago

What is -4.5= a - 8

murzikaleks [220]

Answer:

Step-by-step explanation: -4.5=a-8

1. add 8 to both sides -4.5+8= 3.5

2. since you added 8 to negative 8 you get zero so it just goes away

3. ANSWER= 3.5=a

7 0

3 years ago

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