Let D={(x,y)∈R^2:−5≤x≤5 and 0≤y≤√(25−x^2)}. Then D
is the shape of a
Select one:
a. quarter circle in the second and first quadrant with radius 25.
b. semi-circle in the second and first quadrant with radius 5.
c. semi-circle in the second and first quadrant with radius 25.
d. quarter circle in the second and first quadrant with radius 5.
1
Expert's answer
2020-06-04T19:36:27-0400
Lets consider a function y=25−x2. Then y2=25−x2 and x2+y2=25. It's a circle with the center in (0, 0) and radius 5.
As we have D={(x,y)∈R^2:−5≤x≤5 and 0≤y≤√(25−x^2)}, so our shape is semi-circle in the second and first quadrant with radius 5. The right answer is b.
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