Find the maximum/minimum value of y = x2 - x + 1/4. At what value of x it occurs?

f(x) has a minimum value is zero at  

Step-by-step explanation:

Explanation:-

step(i):-

Given function y =f(x)=  x² - x + 1/4 ....(i)

Differentiating equation (i) with respective to 'x', we get

 ...(ii)

Equating Zero   2 x - 1 = 0

Step(ii):-

Again differentiating with respective to 'x', we get

f(x) has a minimum value at  

Step(iii):-

y =f(x) =  x² - x + 1/4

Put  

f(x) has a minimum value is zero at  

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! )