Use the divergence theorem to compute the net outward flux of the following field across the given surface s. f = < x^2, y^2, z^2 > ; s is the sphere {(x, y, z) : x^2 + y^2 + z^2 = 25}

In this exercise we have to use the divergent theorem to calculate the flow of the given equation, so we will find that:

So from the given equation, we will find that:

where the region with as its boundary. Convert to spherical coordinates, taking:

Then the volume integral is:

See more about Divergence Theorem at link

By the divergence theorem,

where the region with as its boundary. Convert to spherical coordinates, taking

Then the volume integral is

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

a. is correct