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Mathematics 21 Online
OpenStudy (anonymous):

Help please.

OpenStudy (anonymous):

to be differentiable it has to be continuous so \[x^2 = mx+b~at~x = 2\] and the slopes have to be the same so \[2x = m~at~x=2\]

OpenStudy (anonymous):

plug in 2 and then solve the system for m and b

OpenStudy (anonymous):

Would I plug it into x^2=mx and solve for m?

OpenStudy (anonymous):

you're eventually going to have to put it into both. if you start with 2x = m, then you can get m and substitute it into the top one and solve for b

OpenStudy (anonymous):

So m would equal 4 and b would equal -4?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

And thats the answer?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Okay thank you!!!

OpenStudy (anonymous):

you're welcome

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