It makes sense that the larger the area of a region, the larger the number of species that inhabit the region. Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in of the caves by the equation

image

(a) The cave called mission impossible near puebla, mexico, has suface area of A=90m2.

How many species of bats would expect to find in that cave?

(b) If you discover that 5 species of bats live in cave estimate the area of the cave.


a) species

b)

Mathematics

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Determine whether the following is a difference of squares.-100x2 + 100y2

A. No B. Yes

Mathematics

Solve the inequality. Express your answer using interval notation. Graph the solution set.-2(4x + 4) < -10x - 14

A. (-?, -3]

B. (-3, ?)

C. (-?, 11]

D. (-?, -3)

Mathematics

Fill in the blank with one of the words or phrases listed below.Two numbers whose product is 1 are called .

A. reciprocals B. grouping symbols C. inequality symbols D. opposites

Mathematics

Identify any extrema of the function by recognizing its given form or its form after completing the square. ?

A. relative maximum:
B. relative minimum:
C. relative minimum:
D. relative maximum:
E. relative maximum:

Mathematics