x? = 0.8x ? 0.4xy , y? = ?0.6y + 0.2xy
Let x and y represent the populations (in thousands) of two species that share a
habitat. For each system of equations, find and assess the stability of the equilibrium points. Remember that, for real populations, both x0 and y0 must be nonnegative for ( x0, y0) to be an equilibrium point.
(0, 0), saddle point, unstable ,
(3, 2), center, indeterminate
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Use implicit differentiation to find the specified derivative at the given point.Find 
at the point (1, 2, 3) for 7x2 + 4 ln xz + 2yz2 - 4ez = 0.
A. 1
B. - 3
C. - 1
D. - 
Write the rational expression in lowest terms.
A. 
B. 
C. 
D. 
Solve the problem.The foundation for a cylindrical fountain is a cylinder 29 yd in diameter and 5 yd high. How many cubic yd of concrete are needed to build the foundation (to the nearest hundredth)?
A. 13,203.70 yd3 B. 6601.85 yd3 C. 910.60 yd3 D. 3300.93 yd3
Use mathematical induction to prove that the statement is true for every positive integer n.6n > n
What will be an ideal response?