1 point) Use Stoke's Theorem to evaluate ∫CF⋅dr∫CF⋅dr where F(x, y,z)=xi+yj+1(x2+y2)kF(x, y,z)=xi+yj+1(x2+y2)k and CC is the boundary of the part of the paraboloid where z=81−x2−y2z=81−x2−y2 which lies above the xy-plane and CC is oriented counterclockwise when viewed from above.

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Step-by-step explanation:

Thinking process:

= by Stoke's Theorem

= since z =

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )