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luda_lava [24]
3 years ago
6

Identify the oblique asymptote of f(x)=x+4/3x^2+5x-2

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

No oblique asymptote

Step-by-step explanation:

To find the oblique asymptote of f(x)

f(x) = \frac{x+4}{3x^2+5x-2}

Here numerator has degree 1 and denomintor degree 2

Degree of numerator < Degree of denominator

Hence there is no oblique asymptote

When the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,  giving us a horizontal asymptote of the x-axis. Or we can write

f(x) = a polynomial of x + a proper fraction.

In this case only we have oblique asymptotes but not when numerator has less degree.

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3 years ago
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2 years ago
A gold mine has two elevators one for equipment and another for miners. The elevator for the miners descends 13 feet per second.
saveliy_v [14]

Answer:

The equipment elevator is positioned 481 feet closer and the miner equipment is positioned 342 feet closer relative to the surface. The equipment elevator is deeper.

Step-by-step explanation:

The rate that both elevators descend are the same according to the information given in the question.

After 18 seconds, the equipment elevator has descended 18 x 13 = 234 feet.

After another 19 seconds, the equipment elevator has descended for a total of 37 seconds which results in 481 feet and the miner elevator has descended for 19 seconds which gives us a descend of 342 feet.

So they are 481 and 342 feet closer relative to the surface and the equipment elevator is deeper since it has descended for a longer period of time.

I hope this answer helps.

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2 years ago
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