Evaluate.43

A. 64
B. 2
C. 12
D. 43


Answer: A

Mathematics

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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 

Mathematics

Use the vertical line test to determine if y is a function of x.

A. Function B. Not a function

Mathematics

Solve the given equation by finding the unknown value.87 ? ? = 0

A. 87 B. 0 C. not possible D. 1

Mathematics

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.

Mathematics