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natulia [17]
3 years ago
6

Who can prove that ? :D prove that lim x about 0 (sin(x)/x)=1 by using sandwich theorem

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0
cos (x)  \leq \frac{sin (x)}{x}  \leq 1

Apply limit as x->0
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Sindrei [870]

You have the following function:

y=3e^y+x

Derivate implictly the previous expression, as follow:

y^{\prime}=3e^yy^{\prime}+1

Where you have used that:

(e^y)^{\prime}=e^yy^{\prime}

Then, the implicit derivative of the given expression is:

y^{\prime}=3e^yy^{\prime}+1

Next, solve for y' as follow:

\begin{gathered} y^{\prime}-3e^yy^{\prime}=1 \\ (1-3e^y)y^{\prime}=1 \\ y^{\prime}=\frac{1}{1-3e^y} \end{gathered}

4 0
11 months ago
Ms. Franco earned $709.54 in net pay for working 25 hours. She paid $87.45 in federal and state taxes, and $38.45 in FICA taxes.
GenaCL600 [577]

Answer:

The hourly wage of Ms. Franco is $28.38 .

Option (B) is correct .

Step-by-step explanation:

As given

Ms. Franco earned $709.54 in net pay for working 25 hours.

Thus

Hourly\ wage\ of\ Ms. France = \frac{Total\ wage}{Total\ number\ of\ hours}

Putting values in the above

Hourly\ wage\ of\ Ms. France = \frac{709.54}{25}

Hourly wage = $ 28.38

Therefore the hourly wage of Ms. Franco is $28.38 .

Option (B) is correct .

7 0
3 years ago
Read 2 more answers
How would i graph y=2x+5
Anna35 [415]

To be able to graph this you need to start on -2 on the y-axis then move up 5 then 1 to the right

The dot should be on (1,3)

6 0
3 years ago
A european business has offered to donate to the Salvation Army, but they are requiring a detailed report on expenditures. Chase
dedylja [7]

Answer:

Both processes are correct.

Step-by-step explanation:

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Now Alex operations

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In both cases the answer will be the same

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which is the same as above.

Both the processes are correct.

7 0
3 years ago
What is the value of x in this figure?
slega [8]
Check the picture below.

\bf 10\cdot \stackrel{cos(30^o)}{\cfrac{\sqrt{3}}{2}}=x\implies 5\sqrt{3}=x

5 0
2 years ago
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