We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.
Further we know that there are 34 species at 11°s and 26 species at 44°s.
We can express the given information at two ordered pairs as shown below:

Let us find slope of the line through these points:

Therefore, we can write the equation of line in slope intercept form as:

Where b is the y intercept, and we can find its value using one of the two points.

Therefore, the required equation of the linear function is:

The answer is x=19.
Hope it helps! (:
Answer:
- 3*2=

Step-by-step explanation:
<u>Given</u><u> </u><u>that</u><u>,</u><u> </u>
x*y=
<h3>
<u>SO</u><u>,</u><u> </u></h3>
3*2=

<u>Therefore</u><u>:</u><u>-</u>

The idea is to use the tangent line to
at
in order to approximate
.
We have


so the linear approximation to
is

Hence
and
.
Then

Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)