Find the minimum value of the objective function and where it occurs, subject to the constraints:
?
Objective function:
?
z = 5x + 6y
?
Constraints:
?
x ? 0
y ? 0
x + 4y ? 20
x + y ? 18
?2x + 2y ? 21
?
A. Minimum at (0, 0): 0
B. Minimum at 
: 
C. Minimum at 
: 19
D. Minimum at 
: 
E. No minimum
Answer: A
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Find the indicated derivative. Assume that x is restricted so that ln is defined.Dx ln 5x
A. 5
B. 
C. 
D. 
Find the center, foci, and vertices of the ellipse.36(x + 3)2 + 16(y - 1)2 = 576
A. center at (-2, 1)
foci at (-2, 1 - 2
), (-2, 1 + 2
)
vertices at (-2, 7), (-2, -5)
B. center at (3, 1)
foci at (3, 1 - 2
), (3, 1 + 2
)
vertices at (3, 7), (3, -5)
C. center at (1, -3)
foci at (1, -3 - 2
), (1, -3 + 2
)
vertices at (1, 7), (1, -5)
D. center at (-3, 1)
foci at (-3, 1 - 2
), (-3, 1 + 2
)
vertices at (-3, 7), (-3, -5)
Find the value of x or y so that the line through the pair of points has the given slope.(-1, 2) and (4, y); m = -2
A. -8 B. 11 C. -9 D. 9
Solve the problem.Suppose that the speed (in m/sec) of a particle moving on the x-axis at time t seconds (t ? 0) is given by: V(t) = t3 - 8t2 + 15t + 10Find V(3).
A. 15 m/sec B. 20 m/sec C. 10 m/sec D. 25 m/sec