Sketch the region bounded by the given line and curve. Then express the region's area as an iterated double integral and evaluate the integral. The parabola x = -y2 and the line y=x+20 Sketch the region. Choose the correct graph below. O A. -30 A) 30- 30 Q 3 OB. -30 Ay 30- OA. The area can be expressed as the double integral 丁丁。 dx dy. 30 OB. The area can be expressed as the double integral dy I Tayax Q 5 OC. The area cannot be expressed as one double integral. It can be expressed as the sum OD. The area cannot be expressed as one double integral. It can be expressed as the sum O C. The value of the integral is. (Simplify your answer. Type an integer or a fraction.) 30- Express the region's area using one or more iterated double integrals with increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. JI dx dy+ I dx dy. 0 30 I I ayax+ I I ay ax. OD. 30- 30

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Sketch the region bounded by the given line and curve. Then express the region's area as an iterated double integral and evaluate the integral.
The parabola x = -y² and the line y=x+20
Sketch the region. Choose the correct graph below.
O A.
30-
+
-30
30
OA. The area can be expressed as the double integral
OB. The area can be expressed as the double integral
B.
-30
30-
The value of the integral is
II dx dy.
30
dy dx.
OC. The area cannot be expressed as one double integral. It can be expressed as the sum
TT
Express the region's area using one or more iterated double integrals with increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice.
O D. The area cannot be expressed as one double integral. It can be expressed as the sum
(Simplify your answer. Type an integer or a fraction.)
O C.
dx dy +
تھے۔
30-
II dx dy.
J
30
TI dy dx + II dy dx.
0
O D.
30-
48
30
Transcribed Image Text:Sketch the region bounded by the given line and curve. Then express the region's area as an iterated double integral and evaluate the integral. The parabola x = -y² and the line y=x+20 Sketch the region. Choose the correct graph below. O A. 30- + -30 30 OA. The area can be expressed as the double integral OB. The area can be expressed as the double integral B. -30 30- The value of the integral is II dx dy. 30 dy dx. OC. The area cannot be expressed as one double integral. It can be expressed as the sum TT Express the region's area using one or more iterated double integrals with increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. O D. The area cannot be expressed as one double integral. It can be expressed as the sum (Simplify your answer. Type an integer or a fraction.) O C. dx dy + تھے۔ 30- II dx dy. J 30 TI dy dx + II dy dx. 0 O D. 30- 48 30
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