Question

Use the given graph to estimate the left Riemann sum for the given interval with the stated number of subdivisions.(Round your answer to the nearest integer.)
[0, 32], n = 4

GRAPH:http://www.webassign.net/waplots/f/f/f532ded6dcbd0958c9f7617293c60c.gif

So I did one part of it so far:

(b-a)/n = (32-0)/4 = 8

anyone know how to figure out the next steps please?

Answer 1

what is the height of your function at 0,8,16,24

Answer 2

where did you get those numbers from?

Answer 3

0 is the far left endpoint...then add8 then 8 then 8

Answer 4

oh I see. how do you know when to stop adding the 8?

Answer 5

n=4

Answer 6

because of the 4?

Answer 7

oh okay. so how do I figure out the height ?

Answer 8

estimate them by looking at the graph

Answer 9

okay. so for 0 would it just be 0? and 8 would be 1.5? like so?

Answer 10

at 0 it looks like it is close to 5

Answer 11

oh you are looking at the line where the 0 hits?

Answer 12

what is the value of f when x=0

Answer 13

5

Answer 14

so for 8 it is just before the 1, so 1.5?

Answer 15

yeah...looks a little smaller than 1.5

Answer 16

1.2?

Answer 17

hard to tell...1.3-1.4

Answer 18

and 16 is at 1? 24 is at 1.6?

Answer 19

looks pretty good

Answer 20

okay great! so then do I add them or something?

Answer 21

add them..then
multiply by 8

Answer 22

oh okay, so I got 71.2 !

Answer 23

looks about right

Answer 24

awesome! thank you for clearing that up for me :)

Answer 25

no problem