Answer:
She will walk and run 148.2 miles in a year
Step-by-step explanation:
She walks: 0.75+0.5=1.25 miles each week
And: 1.25 *52=65 miles a year
She runs : 1.6 miles a week
And: 1.6*52 =83.2 miles a year
Total miles : 83.2+65=148.2 miles
The expected number of heads seen in 12 flips is 8 heads seen
Replace x with π/2 - x to get the equivalent integral
but the integrand is even, so this is really just
Substitute x = 1/2 arccot(u/2), which transforms the integral to
There are lots of ways to compute this. What I did was to consider the complex contour integral
where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be
which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit
and it follows that
Answer:
Step-by-step explanation:
(x^2 +1)(x^2 +1)
x^4 +x^2+x^2 +1
x^4+2x^2 +1 answer
Hope this helps!