Question

help with approximation problem. keep on getting 10. for an answer. Medals!!

Answer 1

essentially you're doing both left sum and right sum

Answer 2

yeah so those would be 0, 3, 4 , 3 and 0 for x = 2,3,4,5,6

Answer 3

add it up and i get 10

Answer 4

on either side

Answer 5

What do those numbers represent?

Answer 6

what comes out of the function

Answer 7

ok, what are the x values used for left sum?

Answer 8

2,3,4,5

Answer 9

ok what about right sum?

Answer 10

right sum x values = 6,5,4,3

Answer 11

huhm... you did it right

Answer 12

so it should be 10 for both answers

Answer 13

because i tried that again and it was wrong

Answer 14

huhm... it looks like they want you to actually pick a side that would give you the greater area for upper sum

Answer 15

thats definitely even on both sides, i just graphed it

Answer 16

no, they want you to actually overestimate the area. So depends on the curve of the function, you might have to choose the height that would give you more area

Answer 17

so i'm thinking upper sum would be
f(3) + f(4) + f(4) + f(5)

Answer 18

which gives you 14

Answer 19

ok that makes more sense because 14 would be the overestimation and 6 is the underestimation. I had trouble with this problem because its a little different from the rest.

Answer 20

thank you

Answer 21

is 14 the right answer for upper sum?

Answer 22

yup

Answer 23

and 6 is for the underestimation

Answer 24

I guess we're confused by left sum as lower sum and right sum as upper sum.

Answer 25

This is why i don't like doing these type of problems. We usually do left sum and right sum separately