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Geometric Construction 5

Construct the graph of the cubic polynomial using Horner's method
p(x) = ax^{3} + bx^{2} + cx + d = (((ax + b)x +
c)x + d

Construct the curve given by the polar equation
r = cos 3t

Construct the curve given by the polar equation
r = sin t/3

Construct the ellipse given by the parametric equations
x = a cos t
y = b sin t

Construct the hyperbola given by the parametric equations
x = a sec t
y = b tan t

Construct the Bowditch curve (also known as the Lissajous curve) given
by the parametric equations
x = sin 11t
y = cos 10t

Construct the curve given by the polar equation
r = cos 7t/2 + 1/4

Construct the curve given by the polar equation
r = 2 - cos 3t - cos (31/32)*3t

Given constants a, r, s, t, construct the graph of the polynomial
y = a(x-r)(x-s)(x-t)

Construct
the graph of a function given in the form
y
= ((a(x-r) + b)(x-s) + c)(x-t) + d