Converting Rectangular Equations to Cylindrical Equations
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of a point in cylindrical coordinates?
(x, y, z)
(r, θ, z)
(r, θ, φ)
(ρ, φ, θ)
Tags
CCSS.HSN.CN.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation z = x^2 + y^2 - 2, what substitution is used for x^2 + y^2?
r^2
r sin θ
r cos θ
r tan θ
Tags
CCSS.HSN.CN.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When converting y^2 = 10 - z^2, what is y replaced with in cylindrical coordinates?
r tan θ
r sin θ
r sec θ
r cos θ
Tags
CCSS.HSN.VM.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the equation y^2 = 10 - z^2 in cylindrical coordinates?
z^2 = 10 - r^2 sec^2 θ
z^2 = 10 - r^2 tan^2 θ
z^2 = 10 - r^2 cos^2 θ
z^2 = 10 - r^2 sin^2 θ
Tags
CCSS.HSN.CN.B.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation x = y^2, what is x replaced with in cylindrical coordinates?
r sin θ
r tan θ
r sec θ
r cos θ
Tags
CCSS.HSN.CN.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cylindrical form of the equation x = y^2?
r = sec θ / tan^2 θ
r = tan θ / sec^2 θ
r = sin θ / cos^2 θ
r = cos θ / sin^2 θ
Tags
CCSS.HSN.CN.B.4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common form of the equation r = cos θ / sin^2 θ?
r = sin θ cos θ
r = tan θ sec θ
r = cot θ csc θ
r = sec θ tan θ
Tags
CCSS.HSN.CN.B.4
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