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+42 Sketch the region. Choose the correct graph below. O A. 50- 44 50 O A. A= 36 3° Sdx dy + SS 0 III. OB. A=dx dy The value of the integral is O B. Express the shaded area as an iterated integral. Select the correct choice below and fill in the answer boxes to complete your choice. JT dx dy 50- 50 (Simplify your answer. Type an integer or a fraction.) Q Q C O C. Q 50- 44 -50 50 O D. 50- -50- 50 Q Q

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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Question
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+42
Sketch the region. Choose the correct graph below.
O A.
50-
44
50
O A. A=
36
3° Sdx dy + SS
0
III.
OB. A=dx dy
The value of the integral is
O B.
Express the shaded area as an iterated integral. Select the correct choice below and fill in the answer boxes to complete your choice.
JT dx dy
50-
50
(Simplify your answer. Type an integer or a fraction.)
Q
Q
C
O C.
Q
50-
44
-50
50
O D.
50-
-50-
50
Q
Q
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+42 Sketch the region. Choose the correct graph below. O A. 50- 44 50 O A. A= 36 3° Sdx dy + SS 0 III. OB. A=dx dy The value of the integral is O B. Express the shaded area as an iterated integral. Select the correct choice below and fill in the answer boxes to complete your choice. JT dx dy 50- 50 (Simplify your answer. Type an integer or a fraction.) Q Q C O C. Q 50- 44 -50 50 O D. 50- -50- 50 Q Q
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