Represent the curve of intersection of the surfaces with a vector function r(t).

babeeb0oL
2021-09-15
Answered

Given the cone $z=\sqrt{{x}^{2}+{y}^{2}}$ and the plane z=5+y.

Represent the curve of intersection of the surfaces with a vector function r(t).

Represent the curve of intersection of the surfaces with a vector function r(t).

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Fatema Sutton

Answered 2021-09-16
Author has **88** answers

The vector:

Consider the equation of cone surface:

Substitute z=5+y to (a)

Consider the equation for plane surface:

z=5+y (b)

Substitute

To define each variable in terms of the parameter t, set x=t

and

Thus,

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