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Biodiversity in a rain forest To quantify the biodiversity of trees in a tropical rain forest, biologists collected data in the Pasoh Forest Reserve of Malaysia. The table shows the number of tree species $S$ found for a given area $A$ in the rain forest.(a) Make a scatter plot of the data and either a semilog plot or a log-log plot, whichever you think is more appropriate.(b) Use your preferred plot from part (a) to find a model. Graph your model with the scatter plot.

(a) See Plots. Power model is more appropriate.(b) $S=0.881517732 \cdot A^{0.841700975}$

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

Baylor University

University of Nottingham

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:51

Rain forest biodiversity T…

01:18

What does a species-area p…

08:38

Habitat Destruction Biolog…

02:07

Biodiversity Some biologis…

01:38

01:10

While planning an ecologic…

02:09

Determining tree biomass I…

02:03

Scientists are evaluating …

02:39

In the climograph below, b…

The forest with a multilev…

Hi, this is Claire. So instruction 3.3. Number 48 stories about calculus book. So here we have our function Onda number of trees be. She's best in a given area. Eight were asked to find the prime when a is equal to 100. So we're going to first differentiate this equation? Yes. You through toy two ones syrup for two and then using the power will we get 0.15 eat and we're going to next. We're gonna plug in 100 into this equation. So get syrup. All 74743 looking 100 for a 2.1 by eight Power and then our answer becomes 1.5 38 Number of trees be She's trees. You She's hurt here. And, uh, number tree species going in growing in ah, 100 square meter area is about two species per year of your around this up

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In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Rain forest biodiversity The number of tree species S in a given area A in t…

What does a species-area plot show?a. the overall distribution, or area,…

Habitat Destruction Biologists use the species-area curve $n=k \log (A)$ to …

Biodiversity Some biologists model the number of species $S$in a fixed a…

While planning an ecological preserve, conservationists plan for an area lim…

Determining tree biomass It is easy to measure the “diameter at breast heigh…

Scientists are evaluating an island ecosystem to be upgraded to a hot spot o…

In the climograph below, biomes are plotted by their range of annual mean te…

The forest with a multilevel canopy is thea. tropical rain forest.b.…

07:59

Dialysis treatment adequacy(a) The quantity $K t / V$ in Exercise 53 is …

01:16

6. (a) Graph the function$f(x)=x-2 \ln x \quad 1 \leqslant x \leq 5$…

01:02

Evaluate the definite integral.$\int_{0}^{1} \sqrt[3]{1+7 x} d x$

10:04

First make a substitution and then use integration by parts to evaluate the …

01:01

$$\begin{array}{l}{\text { Mutation accumulation } \text { When a popula…

00:23

Evaluate the integral.$\int_{0}^{\pi / 4} \sec \theta \tan \theta d \the…

00:38

Evaluate the indefinite integral.$\int \frac{z^{2}}{z^{3}+1} d z$

00:57

Find $f$ . $f^{\prime}(x)=8 x^{3}+12 x+3, \quad f(1)=6$

08:55

11. SARS incidence The table shows the number of peopleper day who died …

01:05

Determine whether each integral is convergent or divergent. Evaluate those t…

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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