TL 9. The region R = {(x, y): 0 ≤ x ≤ 2, -√√1-(x − 1)² ≤ y ≤ √1 - (x − 1)²} in the transformation x = r cos 0, y = rsin 0, corresponds to the region G in the re-plane is (a) G = {(r, 0): 0 ≤r ≤ 2 cos 0,0 ≤. (c) G = {(r, 0): 0 ≤ r ≤ cos 0,0 ≤ 0 ≤ 2π}. (b) G= {(r, 0): 0 ≤r≤ sin 0,0 ≤ 0 ≤ 2π}. (d) G = {(r,0): 0 ≤r ≤ 2 sin 0,-≤0 ≤ dydx has the value 10. The iterated integral (a) 0. (b) 1. (c) 2. (d) 3. 11. The surface with equation in cylindrical coordinates given by z = r² is a (a) paraboloid. (b) sphere. (c) cylinder. (d) cone.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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9. The region R = {(x, y): 0 ≤ x ≤ 2, - √1 - (x − 1)² ≤ y ≤ √1 - (x − 1)²} in the
TL
transformation x = r cos 0, y = r sin 0, corresponds to the region G in the re- plane is
(a) G=
(b) G = {(r, 0): 0 ≤r ≤ sin 0,0 ≤ 0 ≤ 2π}.
7 = {(r,0): 0 ≤ r ≤ 2 cos 0, − ≤0 ≤}. (c) G = {(r, 0): 0 ≤ r ≤ cos 0,0 ≤ 0 ≤ 2π}.
2
(d) G = {(r, 0): 0 < r ≤ 2 sin 0, -≤0 ≤
dydx has the value
10. The iterated integral
(a) 0.
(b) 1.
(c) 2.
(d) 3.
11. The surface with equation in cylindrical coordinates given by z = r² is a
(a) paraboloid.
(b) sphere.
(c) cylinder.
(d) cone.
Transcribed Image Text:9. The region R = {(x, y): 0 ≤ x ≤ 2, - √1 - (x − 1)² ≤ y ≤ √1 - (x − 1)²} in the TL transformation x = r cos 0, y = r sin 0, corresponds to the region G in the re- plane is (a) G= (b) G = {(r, 0): 0 ≤r ≤ sin 0,0 ≤ 0 ≤ 2π}. 7 = {(r,0): 0 ≤ r ≤ 2 cos 0, − ≤0 ≤}. (c) G = {(r, 0): 0 ≤ r ≤ cos 0,0 ≤ 0 ≤ 2π}. 2 (d) G = {(r, 0): 0 < r ≤ 2 sin 0, -≤0 ≤ dydx has the value 10. The iterated integral (a) 0. (b) 1. (c) 2. (d) 3. 11. The surface with equation in cylindrical coordinates given by z = r² is a (a) paraboloid. (b) sphere. (c) cylinder. (d) cone.
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