Question

Estimate the area under f(x)=(1/4)x^3+1
From x=0 to x=6 using 3 rectangles and left hand sums. Enter you estimates here?

Answer 1

so basically riemann sums?

Answer 2

I guess I am totally lost

Answer 3

you want the area from x= 0 to 6

you want to estimate it by calculating the area of 3 rectangles

which means you need to divide 0 to 6 into 3 even parts

Answer 4

ok

Answer 5

so the width of each rectangle will be?

Answer 6

so then like 0/3 are you meaning

Answer 7

sorry that makes absolutely no sense, can you rewrite it?

Answer 8

0/3=0 dividing 6 into three parts right maybe Im not getting it I am a little confused

Answer 9

oh ok gotcha

Answer 10

0 to 6 is the range,
if the width of the rectangle is 0, that would mean there would be no area

you're dividing the range of the graph into 3 equal widths

Answer 11

so the width of each rectangle would be?

Answer 12

it would be 0

Answer 13

(6-0)/3 =?

Answer 14

or 1

Answer 15

the width of each rectangle would be the total range divided by the number of parts

Answer 16

2

Answer 17

yes

Answer 18

ok then what

Answer 19

now the graph im about to draw is not your graph, its just an example


example of left hand area