Provide an appropriate response.Use the simplex method to minimize Z = 4x1 + x2 subject tox1 + x2 ?5x1 + 2x2 ?8x1, x2 ?0.
What will be an ideal response?
Z = 5 when x1 = 0, x2 = 5
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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 
Solve the differential equation.6y ' = ex/6 + y
A. y = 
B. y = 
C. y = xex/6 + Cex/6
D. y = 
Use regression to find a quadratic function that best fits the data. Give results to the nearest hundredth.
A. f(x) = -0.54x2 + 60.05x + 912.48 B. f(x) = -0.7803 + 98.39x - 419.89 C. f(x) = 0.54x2 + 60.05x + 912.48 D. f(x) = -4.66x2 - 45.67x + 345.67
Solve the problem.The sum of the squares of two numbers is 17. The sum of the two numbers is 3. Find the two numbers.
A. -4 and 1 B. -1 and 4 C. -1 and 4 or -4 and 1 D. -4 and -1 or 1 and 4