solve these 3 math questions for me please, as soon as posible, just solve,and show the work.Quiz #3 Math 43
1. In graph of conic sections, the difference between a circle and ellipse is the
angle of plane with cones. Find the relation between eccentricity and the
angle of the plane with horizon.
2. Show (Prove) that the angle of rotation for a quadratic surface (eliminate
Tan(20) = ABC
the cross term *y) can be calculated by
3. Show that the parametric equation of all epicycle can be written as
X(t) = (a + b)Cose – bcos(a+bo)
y(t) = (a + b)Sino – bSina+bo)
And Show that the parametric equation of all hypocycloid can be written as
*(t) = (a – b)Cose + bCostazbo)
y(t) = (a – b)Sino – bSin(

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