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
:
3x^2+0xy+4y^2-6x+16y+7=0
6y^2-10x-6y-31=0
(-x+1)^2+(3-y)^2/2^2=1
852
Plot
:
(-1-(107*(m^2-w^2+5*m+6)-(107*m+210)*(2*m+5))/((m^2-w^2+5*m+6)^2+w^2*(2*m+5)^2))=0
z=x*y-x^2-2*y^2+x+10*y-8
y^2=4*a*x
y^2=x*y-2
Identical expressions
(two xy^ three)^2*16x^5y/(4x^2y)^ three
(2xy cubed ) squared multiply by 16x to the power of 5y divide by (4x squared y) cubed
(two xy to the power of three) squared multiply by 16x to the power of 5y divide by (4x squared y) to the power of three
(2xy3)2*16x5y/(4x2y)3
2xy32*16x5y/4x2y3
(2xy³)²*16x⁵y/(4x²y)³
(2xy to the power of 3) to the power of 2*16x to the power of 5y/(4x to the power of 2y) to the power of 3
(2xy^3)^216x^5y/(4x^2y)^3
(2xy3)216x5y/(4x2y)3
2xy3216x5y/4x2y3
2xy^3^216x^5y/4x^2y^3
(2xy^3)^2*16x^5y divide by (4x^2y)^3
Canonical form
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(2xy^3)^2*16x^5y/(4x^2y)^3
(2xy^3)^2*16x^5y/(4x^2y)^3 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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4 x*y = 0
$$x y^{4} = 0$$
x*y^4 = 0
The graph