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mylen [45]
2 years ago
15

Without the L'hopitals stuff we have not gone over that yet.

Mathematics
1 answer:
vichka [17]2 years ago
6 0

You may have already learned that

\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax} = 1

for <em>a</em> ≠ 0.

Then for your limit, you can write

\displaystyle \lim_{x\to0}\frac{\sin(2x)}{3x} = \frac23 \lim_{x\to0} \frac{\sin(2x)}{2x} = \frac23\cdot1 = \boxed{\frac23}

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Answer:

For number 5 is n=10

Step-by-step explanation:

7 0
3 years ago
Find the lenght of thir side if neccesary round to the nearest tenth 12 5
Artemon [7]

Answer:

13.416 or 13.4

Step-by-step explanation:

3 0
3 years ago
What is the solution to this system of equations?<br><br> 3x-2y=5<br> x+2y=7<br><br> x=_, y=_
Dmitry_Shevchenko [17]

Step 1) Solve the second equation for

x

:

x

+

3

y

=

−

5

x

+

3

y

−

3

y

=

−

5

−

3

y

x

+

0

=

−

5

−

3

y

x

=

−

5

−

3

y

Step 2) Substitute

−

5

−

3

y

for

x

in the first equation and solve for

y

:

3

(

−

5

−

3

y

)

−

2

y

=

7

−

15

−

9

y

−

2

y

=

7

−

15

−

11

y

=

7

15

−

15

−

11

y

=

15

+

7

0

−

11

y

=

22

−

11

y

=

22

−

11

y

−

11

=

22

−

11

−

11

y

−

11

=

−

2

y

=

−

2

Step 3) Substitute

−

2

for

y

in the solution to the second equation at the end of Step 1 and calculate x:

x=−5−(3×−2)

x=−5−(−6)

x=−5+6

x=1

The solution is x=1 and y=−2

3 0
3 years ago
Read 2 more answers
How to solve this math equation <br> 4(5*2) - 16 + 4
Greeley [361]

Answer:

28

Step-by-step explanation:

4(5*2)-16+4

4(10)-16+4

40-16+4

24+4

28

7 0
3 years ago
Read 2 more answers
Jon weighs 148 lb and hopes to gain 2 lbs a week.Matt weighs 193lb and hopes to lose 1 lb a week.How many weeks until the weight
cestrela7 [59]
Set up the equation:

Let x be the number of weeks before they weigh the same.

148+2x=193-x

solve:

148+2x=193-x
3x=45
x=15

therefore: it will take 15 weeks until they weigh the same.
4 0
3 years ago
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