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OverLord2011 [107]
3 years ago
5

What’s the correct answer

Mathematics
1 answer:
liraira [26]3 years ago
7 0
I think the answer is d
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Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4}

if \lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b then y = b is horizontal asymptote

Then:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0
4 years ago
Read 2 more answers
Find the surface area of the prism or pyramid. Round to the nearest hundredth if necessary.
son4ous [18]

Answer: 345.4

Step-by-step explanation:

SA=2πr^2+2πrh

SA=2(3.14)(5)^2+2(3.14)(5)(6)

SA=2(3.14)(25)+2(3.14)(30)

SA=2(78.5)+2(94.2)

SA=157+188.4

SA=345.4

4 0
3 years ago
What is the slope of the line that has the equation 4x 2y = 12? a. 6 b. –2 c. 2 d. 3
murzikaleks [220]
Assuming the equation is: 4x + 2y = 12 , we can rearrange it in slope- intercept form to:
y = -2x + 6
which has the slope = -2.
So the correct choice is b.
7 0
4 years ago
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If a die is rolled one time, what is the probability of getting a 4​
BaLLatris [955]

Answer:

1/6

Step-by-step explanation:

You have one die, with one 4 and six sides. The probability of getting a 4 with one roll is 1/6.

5 0
3 years ago
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Represent using an integer.<br><br> a loss of 4 points
Verdich [7]
A loss of 4 points would be -4
6 0
3 years ago
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