Mister Exam
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Graph of implicit function
Surface defined by equation
Canonical form of a elliptical paraboloid
Canonical form of a double hyperboloid
Canonical form of a imaginary ellipsoid
Canonical form of a degenerate ellipse
Canonical form of a parabola
How to use it?
Canonical form
:
x^2+7*y^2+2*z^2+8*x−20*z+200=0
arctgx+arctgy=c
sqrt(x^2-y^2)
x+2y+z,y-z-x+y
Plot
:
y=x/10
z=-x^2-y^2+log(x^2+y^2-9)/16
x^2=-y^2+1
sqrt(x^2+z^2)=y
Identical expressions
arctgx+arctgy=c
arctgx plus arctgy equally c
Similar expressions
arctgx-arctgy=c
Canonical form
/
arctgx+arctgy=c
arctgx+arctgy=c canonical form
The teacher will be very surprised to see your correct solution 😉
Find the canonical form!
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The graph:
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The solution
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-c + acot(x) + acot(y) = 0
$$- c + \operatorname{acot}{\left(x \right)} + \operatorname{acot}{\left(y \right)} = 0$$
-c + acot(x) + acot(y) = 0