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Mathematics 51 Online
OpenStudy (anonymous):

I plugged in X as the answer and it wont work

OpenStudy (anonymous):

The linear approximation at x = 0 to f(x) = sin (8x) is y =

OpenStudy (anonymous):

? it is zero

OpenStudy (anonymous):

no it i tried that also

OpenStudy (anonymous):

\[f(x)=\sin(8x)\] \[f(0)=\sin(0)=0\]

jimthompson5910 (jim_thompson5910):

f(x) = sin(8x) f ' (x) = 8*cos(8x) plug in x = 0 into f ' (x) f ' (x) = 8*cos(8x) f ' (0) = 8*cos(8*0) f ' (0) = 8 the slope is not 1, it is 8

OpenStudy (anonymous):

ooh the linear approximation

OpenStudy (anonymous):

y= f(0)+fprime(0)(x-0)

OpenStudy (anonymous):

oh its 8x

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (anonymous):

Thanks for your time :)

jimthompson5910 (jim_thompson5910):

np

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