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2 years ago

7

PLEASE HELP, URGENT!!!! Find M

1 answer:

Butoxors [25]2 years ago

6 0

Answer:

sin^-1 (√111)/2√37) = 60°

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3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

yan [13]

Answer:

<em>P=1620</em>

<em>Third option</em>

Step-by-step explanation:

<u>Horizontal Asymptotes</u>

A given function is said to have a horizontal asymptote in y=a, if:

$\displaystyle \lim _{x\rightarrow -\infty }f(x)=a$

Or,

$\displaystyle \lim _{x\rightarrow +\infty }f(x)=a$

For the given function, the population of the species of bird is given by :

$\displaystyle p(t)=\frac{1620}{1+1.15e^{-0.042t}}$

Where t is the time in years. To find the horizontal asymptote, we should compute both limits to check if they exist.

$\displaystyle \lim _{x\rightarrow +\infty }\frac{1620}{1+1.15e^{-0.042t}}=\frac{1620}{1+0}=1620$

When t tends to plus infinity, P tends to 1620 .

The second asymptote is computed by:

$\displaystyle \lim _{x\rightarrow -\infty }\frac{1620}{1+1.15e^{-0.042t}}=\frac{1620}{1+\infty}=0$

When t tends to minus infinity, P tends to zero. Since the domain of P is $t\geq 0$ , this asymptote is not valid, thus our only asymptote is

$\boxed{P=1620}$

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3 years ago