Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = 3x - 4xy y'(t) = -y + 3xy(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 =
(b) y' = 0 along the lines y = 0 and x =
(c) (0, 0) and
C. (a) x' = 0 along the lines x = 0 and y =
(b) y' = 0 along the lines y = 0 and x = 3
(c) and
D. (a) x' = 0 along the lines x = 0 and y =
(b) y' = 0 along the lines y = 0 and x = 3
(c) (0, 0) and
Answer: B
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Arrange in order from smallest to largest.0.05, 0.03, 0.035, 0.053
A. 0.053, 0.035, 0.05, 0.03 B. 0.03, 0.035, 0.05, 0.053 C. 0.03, 0.05, 0.035, 0.053 D. 0.035, 0.053, 0.03, 0.05
State the degree of the polynomial and whether it is a monomial, a binomial, or a trinomial.9x4 + 2x3 - 2
A. trinomial, degree 8 B. trinomial, degree 4 C. binomial, degree 4 D. trinomial, degree 7
Find the intervals where is increasing and where it is decreasing.
a. increasing: (9e, ?), decreasing: (0, 9e)
b. increasing: decreasing:
c. increasing: (90, ?), decreasing: (0, 90)
d. increasing: decreasing:
Perform the indicated operations. Write the answer using only positive exponents. Assume that all variables represent positive real numbers.
A. 53 x7
B.
C. 5 x8
D.