Evaluate.43
A. 64
B. 2
C. 12
D. 43
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
Use the vertical line test to determine if y is a function of x.
A. Function B. Not a function
Solve the given equation by finding the unknown value.87 ? ? = 0
A. 87 B. 0 C. not possible D. 1
Determine whether the function f(x) = (x + 4) 2 , x ? –4 has an inverse function. If it does, find the inverse function.
a.
b. f –1 (x) = –(x + 4) 2
c. f –1 (x) = (x + 4) –2
d.