Solve the problem.Find the centroid of the region bounded above by the sphere 
and below by the plane 
if the density is constant.
A. 
= 0, 
= 0, 
= 
B. 
= 0, 
= 0, 
= 12
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Answer: A
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Find the area.Find the area of the region in the first quadrant between the curve y = e-5x and the x-axis.
A. 1
B. 5
C. 
D. 
e
Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = (-8x - 8y)5
A. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: lines 
B. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: lines 
c ? 0
C. Domain: all points in the xy-plane; range: all real numbers; level curves: lines 
c ? 0
D. Domain: all points in the xy-plane; range: all real numbers; level curves: lines 
Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers.
A. 
B. - 
C. 
D. 
Find the area of the SAS triangle ABC. If necessary, round the answer to two decimal places.a = 12 km, b = 15 km, C = 52°
A. 88.80 sq km B. 70.92 sq km C. 141.84 sq km D. 35.46 sq km