Find the limit.
a. ?
b. -6
c. -?
d. 5
e. 0
b. -6
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Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = -5x + xy y'(t) = 2y - xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0,(c) find the equilibrium points for the system.
A. (a) x' = 0 along the lines x = and y = 0
(b) y' = 0 along the lines y = and x = 0
(c) (0, 0) and
B. (a) x' = 0 along the lines x = 0 and y = 5
(b) y' = 0 along the lines y = 0 and x = 2
(c) (0, 0) and (2, 5)
C. (a) x' = 0 along the lines x = 5 and y = 0
(b) y' = 0 along the lines y = 2 and x = 0
(c) (0, 0) and (5, 2)
D. (a) x' = 0 along the lines x = 0 and y =
(b) y' = 0 along the lines y = 0 and x =
(c) (0, 0) and
Simplify the following rational expression.
?
?
A.
B. ?
C. ?
D. ?
E. ?
Convert to logarithmic form.41/2 = 2
A. log 2 4 = 1/2 B. log 2 1/2 = 4 C. log 1/2 4 = 2 D. log 4 2 = 1/2
Factor when possible.36x2 - 49y2
A. (6x + 7y)2 B. (6x + 7y)(6x - 7y) C. (6x - 7y)2 D. Prime