Add or subtract as indicated. Simplify, if necessary.
- 
A. 
B. 3
C. 
D. 
Answer: C
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Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 32 and y = x2
A. 
= 0, 
= 16
B. 
= 0, 
= 
C. 
= 16, 
= 0
D. 
= 0, 
= 32
Using Green's Theorem, find the outward flux of F across the closed curve C.F = (-y - ey cos x)i + (y - ey sin x)j ; C is the right lobe of the lemniscate r2 = cos 2? that lies in the first quadrant.
A. 0
B. 
C. 
D. 1
Express the equation in logarithmic form.
?
What will be an ideal response?
Sketch the graph of the equation. Identify the vertex and the intercepts.y = x2 + 6x
A. Opens: Up;
Vertex: (- 3, - 9);
x-intercepts: (0, 0) and (-6, 0);
y-intercept: (0, 0)
B. Opens: Up;
Vertex: (3, - 9);
x-intercepts: (0, 0) and (6, 0);
y-intercept: none
C. Opens: Up;
Vertex: (3, - 9);
x-intercepts: (0, 0) and (6, 0);
y-intercept: (0, 0)
D. Opens: Up;
Vertex: (- 3, - 9);
x-intercepts: (0, 0) and (-6, 0);
y-intercept: none