Question

calculus question

Answer 1

theres also a multiple choice part to it where the "?" appears and those options are
1) overestimate of
2)equal to
3)underestimate of
4)there is ambiguity

Answer 2

@mathmate help

Answer 3

Riemann sum is basically adding up the areas of the rectangles shown in the figure.
The diagram shows that the width (h) of the rectangles is 0.5.
The heights of the the four left-sum rectangles would be (x^2/8), when we sum for x=3,4.5 in steps of 0.5, i.e. for x=3,3.5,4,4.5.
The right sum would be the same as above, but with heights evaluated at 3.5,4,4.5,5 instead.
If you evaluate these sums and post, I can verify them for you.

Answer 4

i got for the left side 3.59375 and for the right side 4.59375

Answer 5

I get the same value as yours for the left side, but smaller for the right side. Would you like to check your numbers, or post you work for discussion?

Answer 6

@Prototype93 Did you get your value adjusted for the right sum?