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Uploaded by on May 31, 2009

previously miley and mandy talked and mandy told the teachers to call her hannah montana
now in home room
mandy:the answer is
If you
think of the area in the first quadrant with x and y both positive,
the area is given by INT(0 to a)[y dx]

Let the equation of the ellipse in parametric form be: x= a cos(theta) y= b sin(theta)

dx = -a sin(theta) d(theta)

Area = INT(pi/2 to 0)[-b sin(theta) * a sin(theta) * d(theta)] = INT(0 to pi/2)[absin^2(theta) * d(theta)] = INT(0 to pi/2)[(ab/2)(1-cos(2theta) * d(theta)] = (ab/2)[(theta) - (1/2)sin(2theta)] from 0 to pi/2 = (ab/2)[pi/2 - 0] = pi*ab/4

The total area of the ellipse will be 4 times this area, so:

Area of ellipse = pi*ab
hrt:correct ms.montana
yes joe
joe:where is mandy lovato
miley:she moved to la she got a free scholorship for a high school there
mandy:oh i heard about that she told me her bestfriend since our mamas were pegnaunt
joe:oh *sad*
at lunch
a girl:its hannah montana
mandy:gotta goguys
*runs in theOFFICE*AND PUTS BLACK WIG*
MANDY:HEY BRAD
BRAD:HEY BYE
AFTER SCHOOL SHE UT WIG BACK ON
SHE MOVED TO LA
INTERVIEW WE ARE DYING TO HERE ARE YOU GOING TO SHOOT A HANNAH MONTANA MOVIE
MANDY:YEPI'MACTUALLY WRITING THE SONGS NOW
IN;WOW THATS GREAT WHEN IS IT COMMINGOUT
MANDY:NEXT SPRING
in: GREAT
mandy:well thatsall i guess
in:yess and thank u
sorry no nick kevin but i promise in next one

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