Plot the following complex number.
a. 
b. 
c. 
d. 
e. 
d.
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Solve the differential equation.y ' e4x + 4ye4x = 4x
A. y = 2x2e-4x + Ce-4x B. y = 2x2e4x + Ce4x C. y = 4x2e4x + Ce4x D. y = 4x2e-4x + Ce-4x
Provide an appropriate response.Which of the following angle pairs is not supplementary?
A. 126°, 54° B. 90°, 90° C. 35°, 145° D. 105°, 85°
Use the simplex method to solve the linear programming problem.Maximizez = 4x1 + 2x2subject to:x1 + 5x2 ? 14 2x1 + 3x2 ? 12withx1 ? 0, x2 ? 0
A. Maximum is 56 when x1 = 14, x2 = 0 B. Maximum is 24 when x1 = 6, x2 = 0 C. Maximum is 12 when x1 = 6, x2 = 0 D. Maximum is 14.6 when x1 = 2.5, x2 = 2.3
Find the coordinates of the vertex for the parabola defined by the given quadratic function.y + 4 = (x + 2)2
A. (- 2, - 4) B. (4, 2) C. (2, - 4) D. (4, - 2)