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Art [367]
3 years ago
15

Prove

le="\lim_{x \to 0} \frac{sin x}{x} = 1" alt="\lim_{x \to 0} \frac{sin x}{x} = 1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

See below.

Step-by-step explanation:

sin x / x.

You can prove this by L'Hopitals Rule.

If x = 0 then the function = 0/0 so the above rule is applicable here.

Differentiating top and bottom we get cos x / 1  = cos x.

Limit x --> 0 of cos x = 1 so it is proved.

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Solve this k/3+4-2k=-9k
o-na [289]
K/3 + 4 -2k = -9k
First you add 9k to both sides
<span>k/3 + 4 -2k = -9k
</span>            +9k   +9k
<span>k/3 + 4 + 7k = 0
</span>
Now subtract 4 from both sides
k/3 + 4 + 7<span>k = 0
</span>        -4           -4
k/3 + 7<span>k = -4
</span>
Now multiply 3 by both sides
k/3 + 7<span>k = -4
</span>x3     x3    x3
k +21k = -12

Now add k + 21k
22k = -12

Now divide both sides by 22
<span>22k = -12
</span>-----    -----
 22      22
k = -6/11
3 0
3 years ago
Find the midpoint of the line segment joining the two points.<br> (1.8, -3.4) and (-0.4, 1.4)
murzikaleks [220]

Answer:

(0.7, -1)

Step-by-step explanation:

To find the coordinates for the midpoint you add each coordinate together and divide by 2.

M = (\frac{1.8 - 0.4}{2},  \frac{-3.4 + 1.4}{2})

M = (\frac{1.4}{2}, \frac{-2}{2})

M = (0.7, -1)

5 0
3 years ago
Anyone know the area of the blue area?
Studentka2010 [4]
First, find the area of the larger sector (the 360-130=230 degree sector), then add the area of the triangle.
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area of the triangle when two sides and the angle between the two sides are given: (absinФ)/2. In this case, a=11.1, b=11.1, Ф=130
(11.1*11.1*sin130)/2≈47.19
the total area is 247.17+47.19≈294.4
Please use your calculator to double check my numbers.
4 0
3 years ago
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Answer:

$49.82

Step-by-step explanation:

Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas

5 0
3 years ago
Read 2 more answers
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brilliants [131]

Answer:

1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

2d

3c

4a

6 0
2 years ago
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