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First we notice that this is a product of two functions of x, so we are going to use the product rule. Recall (uv)'(x)=u'(x)v(x)+v'(x)u(x). Let u(x)=x^(1/2) and v(x)=ln(3x). We need to find u'(x) and v'(x...

Certainly. The nth student (Sn) changes the state of every nth locker - i.e. the multiples of n. If changed an odd number of times, the locker is open -- if even then closed.
i. how many closed afte...

a = 0.72727272 100a = 72.72727272 100a - a =72.72727272-0.72727272 = 72 = 99a  a =72/99 so 0.72727272 = 72/99 0.72727272 refers to 0.72 where the 72 is recurring.

B: football name/with whome/when/where/did what

f'(x)=9x²​+4x, and f''(x)=18x+4 (derivatives) 

f'(x)=0 at x=0 or x=-4/9

when x=0 f''(x)>0 therefore a minimum value, when x=-4/9 f''(x)<0 and thus a maximum value.