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sladkih [1.3K]
3 years ago
10

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?

Mathematics
2 answers:
Ghella [55]3 years ago
6 0

Answer:

It's B on edge

Step-by-step explanation:

Anastaziya [24]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

The given function is

f(x)=\dfrac{2x}{1-x^2}

We have find the behavior of the function f (x) as  x approaches infinity.

The given function can be rewritten as

f(x)=\dfrac{2x}{x^2(\dfrac{1}{x^2}-1)}

f(x)=\dfrac{2}{x(\dfrac{1}{x^2}-1)}

lim_{x\rightarrow \infty}f(x)=lim_{x\rightarrow \infty}\dfrac{2}{x(\dfrac{1}{x^2}-1)}

Apply limit.

lim_{x\rightarrow \infty}f(x)=\dfrac{2}{\infty(\dfrac{1}{\infty^2}-1)}

lim_{x\rightarrow \infty}f(x)=0

The graph approaches 0 as x approaches infinity.

Therefore, he correct option is B.

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Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. 8cotθ + 3 = 5
galina1969 [7]

<u><em>Answer:</em></u>

θ = 76°

<u><em>Explanation:</em></u>

<u>The given equation is:</u>

8 cotθ + 3 = 5

8 cotθ = 5-3

8 cotθ = 2

cot θ = \frac{2}{8} = \frac{1}{4}

<u>Now, we find θ</u>

We know that the cot function is the inverse of the tan function.

The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well

<u>Now, we are given the condition:</u>

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<u>Therefore, we know for sure that our angle is in the first quadrant</u>

θ = cot⁻¹(\frac{1}{4}) = 75.96° = 76° to the nearest degree

Hope this helps :)

5 0
3 years ago
how many liters of glycerin should be added to 12 Liters of an 8% glycerin solution so that the resulting solution contains 16%
mojhsa [17]

Answer:

1.14 liters

Step-by-step explanation:

We have 8% glycerin solution and we need to make it 16%  glycerin solution [more concentration].

When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??

Note, 16% = 0.16

We can write a Ratio as shown below, cross multiply and solve for x:

\frac{0.96+x}{12+x}=0.16\\(12+x)(0.16)=0.96+x\\1.92+0.16x=0.96+x\\1.92-0.96=x-0.16x\\0.96=0.84x\\x=1.14

We need to add around 1.14 liters

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Step-by-step explanation:

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