A proton traveling at 31.0° with respect to the direction of a magnetic field of strength 3.23 mT experiences a magnetic force of 8.75 × 10 17 N. Calculate (a) the proton's speed and (b) its kinetic energy in electron-volts.

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A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

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A: The derivative is given below

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A: We will start from critical points and follow upto inflection point

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A: The given function is: f(x,y)=cos(x2y3) So, ∇f(x,y)=∂f∂x,∂f∂y…

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A: we want to find taylor series of the function 17 x ex  about  x=0

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