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maks197457 [2]
3 years ago
13

Use L’Hospital’s Rule to evaluate the following limit.

Mathematics
1 answer:
Serga [27]3 years ago
4 0

Answer:

3

Step-by-step explanation:

lim(t→∞) [t ln(1 + 3/t) ]

If we evaluate the limit, we get:

∞ ln(1 + 3/∞)

∞ ln(1 + 0)

∞ 0

This is undetermined.  To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.

lim(t→∞) [t ln(1 + 3/t) ]

lim(t→∞) [ln(1 + 3/t) / (1/t)]

This evaluates to 0/0.  We can simplify a little with u substitution:

lim(u→0) [ln(1 + 3u) / u]

Applying L'Hopital's rule:

lim(u→0) [1/(1 + 3u) × 3 / 1]

lim(u→0) [3 / (1 + 3u)]

3 / (1 + 0)

3

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AURORKA [14]
W=wind
p + w=158...p=158-w
p-w=112...p=112+w
SO 158-w=112+w
46=2w
23=w
SO in conclusion you have the correct answer of wind being 23km/h while the plane is going 135 km/h

HOPE THIS HELPS!
6 0
3 years ago
Solve the linear equation. 8x+32=1/5(25x−15)−4x
Kipish [7]

Answer: x= 5

Step-by-step explanation:

8x+32=1/5(25x−15)−4x

8x + 32 = <u>25x -15</u> - 4x   <u><em>- 25x -15/  5</em></u>

                    5

8x + 32 = 5x -3 - 4x

8x + 4x - 5x = -32 - 3

7x =-35

x = 35/7

x= 5

5 0
3 years ago
How many different outcomes are possible if you can choose between a bus or a train, full fare or concession and you can travel
Novosadov [1.4K]
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7 0
3 years ago
What is the standard form of the equation y=-5/2x-3 ?
butalik [34]

The standard form of an equation is the form where that equation has no fractions and is written in the form ax + by = c.


To get rid of the fractions in y = -5/2 x - 3, we need to multiply both sides by 2. That makes the equation become:


2y = -5x - 6


Now we need to get it into the form ax + by = c. We can do this by adding 5x to each side.


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6 0
3 years ago
Please help! I don't know this question.
Dimas [21]

Answer:

B. 14/15

Step-by-step explanation:

I hope this helps.

5 0
3 years ago
Read 2 more answers
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