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 m² of the caves by the equation.
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Mathematics
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Set up an integral for the length of the curve.y = 
, 
? x ? 
A. 
B. 
C. 
D. 
Mathematics
Find the equation of the normal line to the indicated curve at the given point.y = 4x - 2x2 at (-4, -48)
A. y = - 
x - 
B. y = 
x + 
C. y = 
x + 
D. y = - 
x - 
Mathematics
Use the table to find the instantaneous velocity of y at the specified value of x.x = 1.
A. 2 B. 1 C. 1.5 D. 0.5
Mathematics
Use algebraic and/or graphical methods to solve the inequality.
> 
A. No solution B. x < -7 C. x > -7 D. All real numbers
Mathematics