Sketch the graph and show all local extrema and inflection points.y = ex - 3e-x - 4x
A. Local maximum (0, -2)
Local minimum (ln 3, 2 - 4 ln 3)
No inflection point
B. Local maximum (0, -2)
Local minimum (ln 3, 2 - 4 ln 3)
Inflection point 
C. Local minimum (2, -1)
No inflection point
D. Local minimum 
No inflection point
Answer: B
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If the equation represents a hyperbola, find the center, foci, and asymptotes. If the equation represents an ellipse, find the center, vertices, and foci. If the equation represents a circle, find the center and radius. If the equation represents a parabola, find the focus and directrix. x2 - 6x + 4y + 25 = 0
A. F: (3, -5); D: y = -3
B. F: (3, -3); D: y = -5
C. F: 
; D: y = - 
D. F: (3, -8); D: y = 0
Use the information below to determine the indicated set. U = {x | x ? N and x ? 12} A = {x | x ? N and 6 < x < 12} B = {x | x ? N and x is even and x < 12}A' ? B
A. {1, 2, 3, 4, 5, 6, 8, 10, 12} B. {2, 3, 4, 5, 6, 8} C. {2, 4, 6} D. {1, 2, 3, 4, 5, 6, 8, 10}
The foci F1 and F2, the vertices V1 and V2, and the endpoints U1 and U2 of the minor axis are as labeled in the figure. Graph the ellipse and find its standard equation. (The coordinates of V1, V2, U1, and U2 are integers, and the coordinates of F1 and F2 are given.)
A. 
+ 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
+ 
= 1
Provide an appropriate response.If ey + y + x = 2, use implicit differentiation to find 
and simplify your answer. Note: 
should not appear in your final answer.
What will be an ideal response?