Solve for the angle ?, where 0 ? ? ? 2?cos2? = 
A. ? = ,
,
,
B. ? = ,
,
,
C. ? = 0, ?, 2?
D. ? = ,
,
,
Answer: A
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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
Find the indicated set given A = {-3, 0, 2, 5, 6, 11, 16, 23}, B = {-3, 0, 16, 23}, and A ? B
A. {-3, 0, 16, 23} B. {5, 11} C. {0, 2, 5, 6, 11, 23} D. {-3, 0, 2, 5, 6, 16}
Simplify the following and write your answer in scientific notation.
Solve. = 2
A. 6, 6 B. -6, 6 C. 12, -4 D. 12, 4