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+y^2-ax+by+c=0
sqrt(2)*y-sqrt(2)=-sqrt(26+4x-x^2)
sqrt(x-4)
arctgx+arctgy=c
Plot
:
4*y^2=x^5+4*x^2*y
x^2+y^2=1
x^2+(y-3*sqrt(x)^2)^2=1
x^2*y^2=(x-1)*(x-2)
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 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