Group the following functions f1, f2, …, f10 into different groups, so that functions within the same group grow at the same asymptotic rate. also list groups in increasing asymptotic growth rate order. note logn has base 10 and lgn has base 2.f11 + 2 + 3 + … + (n-1) + nf2nlognf3(lgn)*( lgn)f41 + 2 + 4 + 8 + … + 2m (n=2m)f52lgn + 100f664n + 32f72(2n)f810logn + 3f92nf10log(n! )

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

60%

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation