Describe in words the surface whose equation is given. (assume that r is not neg

elchatosarapage 2021-11-19 Answered
Describe in words the surface whose equation is given. (assume that r is not negative.) θ=π4
a) The plane y=z where y is not negative
b) The plane y=z where y and z are not negative
c) The plane y=x where x and y are not negative
d) The plane y=x where y is not negative
e) The plane x=z where x and y are not negative
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Expert Answer

Jennifer Hill
Answered 2021-11-20 Author has 10 answers
Step 1
It represents line equation in XY- plane whose equation if given by x=y where x and y are not negative
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Jick1984
Answered 2021-11-21 Author has 12 answers
Step 1
Since θ is the angle of x, y plane measured counter clock-wise from the +xaξs.
This equation represents all points located at an angle of π4 to +xaξs.
This represents half plane. Since cosine and sine have same values at π4 in this case, x=y.
It means option (c) is the correct answer.
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