Your Questions About Total Curve Reviews

Mary asks…

who is good at biology, i need help with these questions but not 19 and 22?

When two organisms attempt to use the same resource in a case where there is insufficient resource supply to satisfy both, the result is _____.
parasitism
commensalism
competition
density-independent effects

Question 17
What can limit the realized niche of a species?
all of the listed choices
presence of predators
barriers to immigration into potential habitat
competition with another species

Question 18
Competition between a dog and a cat for a spot on your lap is _____.
exponential
interspecific
intraspecific
demography

Question 19
In figure 19.13, which of the illustrated species has a realized niche that is much smaller than its fundamental niche?
Chthamalus barnacles
Homo sapiens
Canis latrans
Semibalanus barnacles

Question 20
Which type of species would be expected to dominate a community during its primary succession phase?
either, equally, it would depend on the environment
K-selected
r-selected

Question 21
An animal with cryptic (camouflage) coloration is trying to _____.
hide from predators
warn predators that the organism is poisonous
attract a mate
develop a commensalistic relationship with another species

Question 22
Review Figure 19.14, paying careful attention to the population levels at carrying capacity, comparing the individual population growths of P.caudatum and P. bursaria to the combined growth curves. In the combined tube, the population numbers are ____ compared to the separate population numbers.
nearly double
less than half
about the same

Question 23
There are several different species of anole lizards in the Caribbean. All of them like to eat insects. How do these species reduce competition?
Nothing — it is impossible to reduce competition between species that need the same resources.
One species has developed a bigger brain and faster speed, and it is outcompeting all the other species, which are going extinct.
Some search for bugs at the top of the trees, some hunt on tree trunks, and some forage on the ground.

Question 24
The sum total of all of the ways that an organism uses the resources of its environment is called the species _____.
fecundity
niche
habitat
cohort

Question 25
When two species have made long-term adjustments to adapt to characteristics that affect each other, this is called _____.
r-selection
co-evolution
a density-independent effect
competitive exclusion

Lina answers:

Here’s a start:
Competition

Donna asks…

CALCULUS EXAM review… please help!!?

I am having trouble with the following review questions… please show all work and EXPLAIN how you got the answers, so I can try to apply it to other questions!

Evaluate the following limits (there are 8 in total, I got 5, but can’t figure out these 3)

i) lim x->pi+ [(tan^-1)(1/ x-pi)] / (pi-x)

ii) lim x->0+ [(x+sinx)^1/2] lnx

iii) lim x->1- [(cos^-1) x] / (1-x)

AND

give the equation of the line tangent to the curve at the given point

i) y tan^-1 x = xy at (sqrt3, 0)

Lina answers:

I) +?
Ii) 0
iii) +1

calculate dy/dx at (?3;0)

Jenny asks…

CALCULUS EXAM review… please help!!?

I am having trouble with the following review questions… please show all work and EXPLAIN how you got the answers, so I can try to apply it to other questions!

Evaluate the following limits (there are 8 in total, I got 5, but can’t figure out these 3)

i) lim x->pi+ [(tan^-1)(1/ x-pi)] / (pi-x)

ii) lim x->0+ [(x+sinx)^1/2] lnx

iii) lim x->1- [(cos^-1) x] / (1-x)

AND

give the equation of the line tangent to the curve at the given point

i) y tan^-1 x = xy at (sqrt3, 0)

ii) ln y = x^2 + 2e^x at (0,e^2)

Lina answers:

Iii)

Note that
lim x->1- arccos(x) = 0
lim x->1- (1-x) = 0

Also note that all conditions for using L’Hopital rule are satisfied.
Lim x->1- arccos(x)/(1-x) = lim x->1- 1/(?(1-x²) = ?

See http://tinyurl.com/lkb7zc

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ii)

We have the tangent point (0, e^2) and we need the slope of the tangent line in this point.

Ln(y) = x^2 + 2e^x
y = e^(x^2 + 2 e^x)
y’ = (2 x + 2 e^x) e^(x^2 + 2 e^x)

y’[for x=0] = 2e²

The equation of the tangent line is
y = e² + 2 e² x = 7.39 + 14.78 x

See http://tinyurl.com/mjbgun

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