calc 3

Question

take a look at picture attached

aaronj · Answer

Tusharroul · Answer

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satis · Answer

u(t) = 4t^3 i + (t^2 -2) j - 2kv(t) = e^t i + 5 e^-t j - e^5t k u(t) . v(t) =  (4t^3) e^t + 5(t^2 -2) e^-t  + 2e^5td/dt (u(t) . v(t)) = 12t^2 e^t + 10t e^t  + 10t e^-t - 5(t^2 -2) e^-t  +  10e^5t= (12t^2 + 10t) e^t  + (10t  - 5t^2 +10) e^-t  +  10 e^5t= 2(6t^2 + 5t) e^t  -  5( t^2 - 2t  - 2) e^-t  +  10 e^5t

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calc 3

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