Determine a rational function that meets the given conditions, and sketch its graph. The function g has vertical asymptotes at 
-1 and 
4, a horizontal asymptote at 
x-intercept at x = 1, and 
A. g(x) = 
B. g(x) = 
C. g(x) = 
D. g(x) = 
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) = 3y - 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 = 5 and y = 0
(b) y' = 0 along the lines y = 3 and x = 0
(c) (0, 0) and (5, 3)
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 = 5
(b) y' = 0 along the lines y = 0 and x = 3
(c) (0, 0) and (3, 5)
D. (a) x' = 0 along the lines x = 
and y = 0
(b) y' = 0 along the lines y = 
and x = 0
(c) (0, 0) and 
Answer the following statement(s) true (T) or false (F)
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Solve the problem.A loan made on September 28 is due on March 15. Find the exact time for the loan in a non-leap year.
A. 168 days B. 167 days C. 172 days D. 138 days
Find the exact value of the expression.cos 
cos 
+ sin 
sin 
A. 1
B. 
C. 
D. 