Reimann sums to find an area

[bnay]

I've attached the image of the question that I'm confused with. I dont even know where to start with this one and none of the examples in my notes are anywhere close to this (my math prof wrote our workbook, so I'm out of luck with the book too, lol). If anybody has any idea how to solve this it would be greatly appreciated. (also, ignore the stuff on the bottom about boxes. That just has to do with the program we use to submit our homework)

 

[tkhunny]

" I dont even know where to start with "

This MUST not be true.

Start by plugging in values and playing with it.

Notice how \(\displaystyle R_{n,0}\) is just a counting problem. \(\displaystyle (i/n)^{0} = 1\)

 

[bnay]

I've tried screwing around with this and I end up finding that aR(18,0) + bR(8,0) + cR(8,1) turns into a+b+(9/16)c, but how would I evaluate that to find the area?

 

[Deleted member 4993]

I've tried screwing around with this and I end up finding that aR(18,0) + bR(8,0) + cR(8,1) turns into a+b+(9/16)c, but how would I evaluate that to find the area?

just count!!

Start with the triangular area = 2 + 4 + 6 ....+ 16 = 2(1+2+3..8) = 72

two of those

+ the skinny rectangular areas on the side....