تكلم مع الذكاء الاصطناعي
Deck 14: Section 8: Multiple Integration
ملء الشاشة (f)
سؤال
Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
If 
and 
then the Jacobian of x, y, and z with respect to u, v, and w is 
.
Find the Jacobian for the following change of variables:
A)
B)
C)
D)
E)
and then the Jacobian of x, y, and z with respect to u, v, and w is .Find the Jacobian for the following change of variables:
A)
B)
C)
D)
E)
سؤال
Find the Jacobian for the change of variables given below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use a change of variables to find the volume of the solid region lying below the surface 
and above the plane region R: region bounded by the square with vertices 
.
A)
B)
C)
D)
E)
and above the plane region R: region bounded by the square with vertices .A)
B)
C)
D)
E)
سؤال
Use a change of variables to find the volume of the solid region lying below the surface 
and above the plane region R: region bounded by the parallelogram with vertices 
. Round your answer to two decimal places.
A)
B)
C)
D)
E)
and above the plane region R: region bounded by the parallelogram with vertices . Round your answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Use a change of variables to find the volume of the solid region lying below the surface 
and above the plane region R: region bounded by the graphs of 
(Hint: Let 
.) Round your answer to two decimal places.
A)
B)
C)
D)
E)
and above the plane region R: region bounded by the graphs of (Hint: Let .) Round your answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Find the Jacobian for the indicated change of variables. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Consider the region 
in the xy-plane bounded by the ellipse 
and the transformation 
and 
. Find 
.
A)
B)
C)
D)
E)
in the xy-plane bounded by the ellipse and the transformation and . Find .A)
B)
C)
D)
E)
سؤال
Find the Jacobian 
for the following change of variables: 
A)
B)
C)
D)
E)
for the following change of variables: A)
B)
C)
D)
E)
سؤال
Use a change of variables to find the volume of the solid region lying below the surface 
and above the plane region R: region bounded by the parallelogram with vertices 
. Round your answer to two decimal places.
A)
B)
C)
D)
E)
and above the plane region R: region bounded by the parallelogram with vertices . Round your answer to two decimal places.A)
B)
C)
D)
E)
سؤال
If 
and 
then the Jacobian of x, y, and z with respect to u, v, and w is 
. Find the Jacobian for the following change of variables: 
A)
B)
C)
D)
E)
and then the Jacobian of x, y, and z with respect to u, v, and w is . Find the Jacobian for the following change of variables: A)
B)
C)
D)
E)
سؤال
Use the indicated change of variables to evaluate the following double integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the Jacobian 
for the following change of variables: 
A)
B)
C)
D)
E)
for the following change of variables: A)
B)
C)
D)
E)
سؤال
Use the indicated change of variables to evaluate the following double integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the following change of variables to evaluate the double integral 
. Round your answer to four decimal places. 
A)
B)
C)
D)
E)
. Round your answer to four decimal places. A)
B)
C)
D)
E)
سؤال
Find a transformation 
that when applied to region 
, its image will be 
. 
A)
B)
C)
D)
E)
that when applied to region , its image will be . A)
B)
C)
D)
E)
سؤال
Consider the region R in the xy-plane bounded by the ellipse 
and the transformation 
and 
. Find the area of the ellipse. Round your answer to two decimal places.
A)
B)
C)
D)
E)
and the transformation and . Find the area of the ellipse. Round your answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Find the Jacobian 
for the following change of variables: 
A)
B)
C)
D)
E)
for the following change of variables: A)
B)
C)
D)
E)
سؤال
Use a change of variables to find the volume of the solid region lying below the surface 
and above the plane region R. 
R: region bounded by the triangle with vertices 
A)
B)
C)
D)
E)
and above the plane region R. R: region bounded by the triangle with vertices A)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 14: Section 8: Multiple Integration
1
Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
If and then the Jacobian of x, y, and z with respect to u, v, and w is .
Find the Jacobian for the following change of variables:
A)
B)
C)
D)
E)
and then the Jacobian of x, y, and z with respect to u, v, and w is .Find the Jacobian for the following change of variables:
A)
B)
C)
D)
E)
3
Find the Jacobian for the change of variables given below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the square with vertices .
A)
B)
C)
D)
E)
and above the plane region R: region bounded by the square with vertices .A)
B)
C)
D)
E)
فتح الحزمة
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5
Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the parallelogram with vertices . Round your answer to two decimal places.
A)
B)
C)
D)
E)
and above the plane region R: region bounded by the parallelogram with vertices . Round your answer to two decimal places.A)
B)
C)
D)
E)
فتح الحزمة
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6
Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the graphs of (Hint: Let .) Round your answer to two decimal places.
A)
B)
C)
D)
E)
and above the plane region R: region bounded by the graphs of (Hint: Let .) Round your answer to two decimal places.A)
B)
C)
D)
E)
فتح الحزمة
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7
Find the Jacobian for the indicated change of variables.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
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8
Consider the region in the xy-plane bounded by the ellipse and the transformation and . Find .
A)
B)
C)
D)
E)
in the xy-plane bounded by the ellipse and the transformation and . Find .A)
B)
C)
D)
E)
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9
Find the Jacobian for the following change of variables:
A)
B)
C)
D)
E)
for the following change of variables: A)
B)
C)
D)
E)
فتح الحزمة
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10
Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the parallelogram with vertices . Round your answer to two decimal places.
A)
B)
C)
D)
E)
and above the plane region R: region bounded by the parallelogram with vertices . Round your answer to two decimal places.A)
B)
C)
D)
E)
فتح الحزمة
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11
If and then the Jacobian of x, y, and z with respect to u, v, and w is . Find the Jacobian for the following change of variables:
A)
B)
C)
D)
E)
and then the Jacobian of x, y, and z with respect to u, v, and w is . Find the Jacobian for the following change of variables: A)
B)
C)
D)
E)
فتح الحزمة
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12
Use the indicated change of variables to evaluate the following double integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Find the Jacobian for the following change of variables:
A)
B)
C)
D)
E)
for the following change of variables: A)
B)
C)
D)
E)
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14
Use the indicated change of variables to evaluate the following double integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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15
Use the following change of variables to evaluate the double integral . Round your answer to four decimal places.
A)
B)
C)
D)
E)
. Round your answer to four decimal places. A)
B)
C)
D)
E)
فتح الحزمة
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16
Find a transformation that when applied to region , its image will be .
A)
B)
C)
D)
E)
that when applied to region , its image will be . A)
B)
C)
D)
E)
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17
Consider the region R in the xy-plane bounded by the ellipse and the transformation and . Find the area of the ellipse. Round your answer to two decimal places.
A)
B)
C)
D)
E)
and the transformation and . Find the area of the ellipse. Round your answer to two decimal places.A)
B)
C)
D)
E)
فتح الحزمة
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18
Find the Jacobian for the following change of variables:
A)
B)
C)
D)
E)
for the following change of variables: A)
B)
C)
D)
E)
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19
Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R. R: region bounded by the triangle with vertices
A)
B)
C)
D)
E)
and above the plane region R. R: region bounded by the triangle with vertices A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
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