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drek231 [11]
3 years ago
11

Which statement describes the behavior of the function f(x)=2x/1-x^2?

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:


Step-by-step explanation:

Please use parentheses around the denominator:

               2x

f(x) = -------------- or   f(x) = 2x / (1-x^2)

           1 - x^2

to eliminate any ambiguity.  The graph of this function passes thru the origin (0,0) and has vertical asymptotes at x = -1 and x = + 1.  The function is negative on (-1,0) and positive on (0,1).  

Additionally, there are two horizontal asymptotes.   As x grows large and negative, f(x) approaches zero from above.  As x grows large and positive, f(x) approaches zero from below.

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Megan’s TV had a base price of $189 and the sales tax was 6.88%. Over the next four years, the TV consumed an average of $0.06 o
Leni [432]

Answer:

Step-by-step explanation:

price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00

4 years = 3×365 days + 366 days = 1461 days

cost of electricity = 1461 days × $0.06/day = $87.66

lifetime cost = purchase price + electricity + repairs

= $202.00 + $87.66 + 2·$29

= $347.66

8 0
3 years ago
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A researcher found that the sea level rose 1 5 of a centimeter in 2 3 of a year. At what rate did the sea level rise? A) 2 5 cen
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D) 3/10 per cen. year
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4 years ago
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From past experience, the organization knows that about 20% of all potential donors will agree to give something if contacted by
Veronika [31]

Answer:

Total number of  donor who will give first $ 100 = 100 people  

Step-by-step explanation:

Given that:

Total percentage of people who donate when contact by phone 20%

Percentage of donating people who will give $100 or more = 5% = 0.05

Total number of donor who will give first $ 100 can be calculated as

calculate the percentage of donor who will give first $ 100  

P(X) =  0.05\times 0.20 = 0.01\ percent

\mu_x = \frac{1}{0.01}

so, total number of the donor who will give first $ 100 = 100 people  

3 0
3 years ago
How do you do these two questions?
nignag [31]

Step-by-step explanation:

(a) ∫₋ₒₒ°° f(x) dx

We can split this into three integrals:

= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx

Since the function is even (symmetrical about the y-axis), we can further simplify this as:

= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx

The first integral is finite, so it converges.

For the second integral, we can use comparison test.

g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.

We can show that g(x) converges:

∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).

Therefore, the smaller function f(x) also converges.

(b) The width of the intervals is:

Δx = (3 − -3) / 6 = 1

Evaluating the function at the beginning and end of each interval:

f(-3) = e^(-9/2)

f(-2) = e^(-2)

f(-1) = e^(-1/2)

f(0) = 1

f(1) = e^(-1/2)

f(2) = e^(-2)

f(3) = e^(-9/2)

Apply Simpson's rule:

S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]

S ≈ 2.5103

5 0
3 years ago
How do you know if a number is smaller or bigger
jeka57 [31]
Use a number line and plot it with zero in the middle and the positive numbers on the right and the negative numbers on the left
the farther to the right a number is, the bigger it is
the farther to the left a number is, the smaller it is
4 0
4 years ago
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