Barrons AP Calculus

(Marvins-Underground-K-12) #1
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Center  at  (h, k), major   axis    horizontal, and vertices    at  (h  ±   a,  k):

Center  at  (h, k), major   axis    vertical,   and vertices    at  (h, k   ±   a):

For the ellipse,    a^2     =   b^2 + c^2 , and the eccentricity        which   is  less    than
1.
HYPERBOLA
With real (transverse) axis of length 2a, imaginary (conjugate) axis of
length 2b, and distance between foci of 2c:
Center at (0, 0), foci at (±c, 0), and vertices at (±a, 0):

Center  at  (0, 0), foci    at  (0, ±c),    and vertices    at  (0, ±a):

Center  at  (h, k), real    axis    horizontal, vertices    at  (h  ±   a,  k):

Center  at  (h, k), real    axis    vertical,   vertices    at  (h, k   ±   a):

For the hyperbola,  c^2     =   a^2 + b^2 , and eccentricity        which   is  greater
than 1.

POLAR COORDINATES

RELATIONS   WITH    RECTANGULAR COORDINATES
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