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Hey Guys, sorry i had to make a new topic for this but i have a huge test to study for and i need some help. This is math 11

Anyways. Here we go.

Find the equation of a parabola with the maximum value of 10 and passing through the points (-3,7) and (1,-17). There are two answers.

The answers are y=-3/4(x+5)^2 +10 and y=-3(x+2)^2 +10

if you know how to do it could you please explain?

Thanks in advance

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Ok, not sure if this is just me being tired, or if my teacher just wrote the most incoherent sentance....but does this sentance actually make sense to anyone?

"Your mass is 65kg. To increase the gravitational force you feel to 4x its surface value do you have to be closer or farther from the earth? By how much must you be closer or farther?"

I usually get these questions pretty easily, but for some reason that one is not clicking in my mind.

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Vf^2 = Vo^2 + 2ad

where d is 110m and acceleration is gravity.

you should get vf>20m/s

calculate delta E = 1/2m(Vf^2 - 20^2) for energy lost to friction

net work... is.. i don't know. brain fart.

actually, don't be surprised if it's all wrong. haven't done kinematics in a while.

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Wait... i figured it out

1) replace sin^2x with 1 - cos^2x

4(1-cos^2x) = 6 cosx

4 - 4cos^2x = 6cosx

0 = 4cos^2x + 6cosx - 4

reduce by 2

0 = 2cos^2x + 3cosx - 2

factor

0 = (2cosx -1)(cos x + 2)

cosx = 1/2 or cos x = -2 which isn't possible for cos = -2

cosx = 1/2

x = 60 degrees or 300 degrees + 2pi revolutions

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