
Polar Coordinates and Double Integrals

Interactive Video
•
Mathematics
•
11th Grade - University
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the shape of the region D over which the double integral is evaluated?
A full circle
A semicircle
A triangle
A square
Tags
CCSS.HSA.REI.D.12
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which inequality describes the region D in the XY plane?
x^2 + y^2 >= 1 and x <= 0
x^2 + y^2 <= 1 and x >= 0
x^2 + y^2 < 1
x^2 + y^2 > 1
Tags
CCSS.HSN.CN.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made for x in the conversion to polar coordinates?
Theta
R cos Theta
R sin Theta
R
Tags
CCSS.HSN.CN.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the graphical representation, what does the double integral not represent?
Width
Volume
Area
Length
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of the radius R for the region of integration?
0 to 2
0 to 1
0 to 3
1 to 2
Tags
CCSS.HSN.CN.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the limits of integration for Theta in the polar form?
0 to 2Pi
-Pi/2 to Pi/2
0 to Pi
-Pi to Pi
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common factor in the integrand function that is factored out?
Theta
R
Pi
Cosine
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