What is the main difference between type 1 and type 2 regions in terms of integration order?

Double Integrals and Region Boundaries

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Mathematics
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11th Grade - University
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Hard

Lucas Foster
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Type 1 integrates with respect to X first, then Y.
Type 1 integrates with respect to Y first, then X.
Type 2 integrates with respect to Y first, then X.
Type 2 integrates with respect to Z first, then X.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a type 1 region, what must the limits of integration for Y be?
Functions of X
Functions of Y
Constant values
Functions of Z
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For a type 2 region, what is the order of integration?
First with respect to Y, then X
First with respect to X, then Z
First with respect to X, then Y
First with respect to Z, then Y
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When setting up a type 1 double integral, what is the lower limit of integration for Y?
The line y = 3x - 6
The parabola y = 1/4 x^2 - 6
The line y = 1/4 x^2 - 6
The parabola y = 3x - 6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the upper limit of integration for X in a type 1 region?
From -6 to 6
From 0 to 6
From 0 to 3
From -6 to 3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the points of intersection for the bounding functions in a type 1 region?
Set the functions of X equal and solve for X
Set the functions of Y equal and solve for X
Set the functions of Y equal and solve for Y
Set the functions of X equal and solve for Y
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a type 2 region, what must the limits of integration for X be?
Functions of X
Functions of Y
Constant values
Functions of Z
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