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Mathematics 22 Online
zarkam21:

Help please

zarkam21:

1 attachment
bm717:

Can you use a calculator for this?

zarkam21:

I did

mhchen:

Did you guys learn how to do derivatives?

mhchen:

Calculus approach: Take the derivative of that equation, you get \[h'(t)=-32t+70\] Find out where -32t + 70 = 0 , and that's where the maximum point is (cause the slope changes from positive to negative at that point). Then you can plug t back into h(t) to get the height.

satellite73:

you can do this without calc. you are looking for the vertex the first coordinate of the vertex of \(ax^2+bx+c\) is always \(-\frac{b}{2a}\) which in your case is \[-\frac{70}{2\times (-16))}\]

satellite73:

since you are going to use a calculator anyways, round that to \(2.19\) and plug it in, i.e. computer \[-16\times (2.19)^2+70\times (2.19)+2\]

satellite73:

let me know when you get the answer

zarkam21:

85.22

satellite73:

i got \(78.56\)

zarkam21:

1 attachment
satellite73:

you need to square the first one

satellite73:

\[-16\times (2.19)^2+70\times (2.19)+2\]

zarkam21:

oh okay then with that I got the same

satellite73:

whew

zarkam21:

Haha

zarkam21:

So D =)

zarkam21:

Thank you

satellite73:

oh yeah, D

satellite73:

\[\color\magenta\heartsuit\]

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