Simplify.
A.
B. ±
C. 0
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) = 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
Express the integrand as a sum of partial fractions and evaluate the integral.
A. ln
+ C
B. ln + C
C. ln
+ C
D. ln
+ C
Solve.A sales representative for a medical supply company was paid $48,200 in commissions last year. If her commission rate was, what was the sales total for the medical supplies she sold last year?
A. $24,100 B. $964 C. $96,400 D. $2,410,000
Evaluate the determinant.
A. a2 + b2 B. a2 - b2 C. 0 D. 2ab