An electric current, I, in amps, is given by
I=cos(wt)+8‾‾√sin(wt),
where w≠0 is a constant. What are the maximum and minimum values of I?

Question

An electric current, I, in amps, is given by
I=cos(wt)+8‾‾√sin(wt),
where w≠0 is a constant. What are the maximum and minimum values of I?

anonymous · Answer

I'm not sure how to interpret the current function... Is it
$$I(t)=\cos\omega t+8\sqrt{\sin\omega t}\,?$$

anonymous · Answer

the square root is over the 8 not sin(wt)

anonymous · Answer

So $I(t)=\cos\omega t+\sqrt 8\sin\omega t$ ?

You can find the maximum and minimum values by taking the derivative and solving for $I'(t)=0$ (i.e. find the critical points).

anonymous · Answer

what would the answer be then?

anonymous · Answer

I'm not here to do your work for you. Here's a starting point:
$$I'(t)=-\omega \sin\omega t+\sqrt8\omega\cos\omega t=0~~\iff~~\sqrt8=\tan\omega t$$
Solve for $t$.

anonymous · Answer

no