Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 
A. Domain: all points in the xy-plane satisfying x2 + y2 = 81; range: real numbers 0 ? z ? 9; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 9
B. Domain: all points in the xy-plane; range: real numbers 0 ? z ? 9; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 9
C. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at 
D. Domain: all points in the xy-plane satisfying x2 + y2 ? 81; range: real numbers 0 ? z ? 9; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 9
Answer: D
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Determine whether the improper integral converges or diverges. 
A. Converges B. Diverges
Find the indicated fractional part.
of 
A. 
B. 
C. 
D. 
Sketch the graph and show all local extrema and inflection points.f(x) = 
A. Relative max: 
No inflection points
B. Relative min: 
No inflection points
C. Relative max: 
No inflection points
D. Relative min: 
No inflection points
Rotate the axes so that the new equation contains no xy-term. Graph the new equation.x2 + 2xy + y2 - 8x + 8y = 0
A. 
B. 