Question

Test tomorrow, could use some help!

Answer 1

@agent0smith

Answer 2

@KendrickLamar2014

Answer 3

@jhonyy9

Answer 4

What are you trying to figure out?

Answer 5

See the above picture:

The topic is using trapezoid method and simpson method and Reimann sums to approximate integrals.

I understand the concept in the picture I attached and when they will be greater / less than the respective derivative, but what if this function was Concave down, or decreasing? How would it change these relationships?

Answer 6

Here's a question that kind of shows the concept come into play

Answer 7

I'd just draw a basic sketch if you're unsure. No need for n=100, just do n=4 or something simple to draw.

Answer 8

Ya I like angel's suggestion.
Just draw a few rectangles to get an idea.

Like for concave down, increasing...
The left approximation is smaller than the right as demonstrated by the graph, and then simpson's is of course somewhere in the middle, ya?
\(\large\rm L<S<R\)