(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

there is a straight river 40m wide.

the water speed on the river can be expressed as the function f(x)=3sin(∏x/40)

If a boat is to cross the river from point a to point b at a constant velocity of 5 m/s determine the angle the boater should head.

2. Relevant equations

3. The attempt at a solution

it will take 8 seconds for the boater to cross the river.

I am thinking that since I am given that the river is 40m wide,

that I should integrate f(x) to find the distance the boater will have traveled after 8 seconds. then take the inverse tangent of (40/(∫f(x)|0->8?) to find the angle?

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# Multivariable calc, boat moving on river functions problem

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