- #1

karush

Gold Member

MHB

- 3,267

- 4

image due to graphs

ok just by observation I chose D since integrals tend to introduce curves not eliminate them and the slope was positive

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- MHB
- Thread starter karush
- Start date

- #1

karush

Gold Member

MHB

- 3,267

- 4

image due to graphs

ok just by observation I chose D since integrals tend to introduce curves not eliminate them and the slope was positive

- #2

skeeter

- 1,104

- 1

(1) should be $\displaystyle g(x) = \int_2^x f(t) \, dt$,

(2) which of the following could be $y=g(x)$, not $g(f)$

$g’(x) = f(x) \implies$ the graph of $f(x)$ is the graph of the derivative of $g(x)$

so ... what do you think?

- #3

karush

Gold Member

MHB

- 3,267

- 4

good catch

- #4

HOI

- 923

- 2

You should be able to say much more than that! Since the graph of f is a straight line, f is "linear" and its integral is quadratic so its graph is a parabola. Further since the graph of f is below the x-axis the integral starts out negative and becomes positive. Yes, the slope of f is positive so the curvature of g is positive. THAT is why "D" is the correct choice!https://www.physicsforums.com/attachments/10736

image due to graphs

ok just by observation I chose D since integrals tend to introduce curves not eliminate them and the slope was positive

- #5

skeeter

- 1,104

- 1

- #6

karush

Gold Member

MHB

- 3,267

- 4

graphs always help a lot

- #7

karush

Gold Member

MHB

- 3,267

- 4

Here is a WIP of a PDF of the MHB replies to the AP Calculus problems given here

A counter has been put into the overleaf document which at this posting is 40,000 views of the replies

My goal is to make the PDF error free and reach 100 problems

Mahalo

https://dl.orangedox.com/6rStfn4eMFHuHvAKuX

A counter has been put into the overleaf document which at this posting is 40,000 views of the replies

My goal is to make the PDF error free and reach 100 problems

Mahalo

https://dl.orangedox.com/6rStfn4eMFHuHvAKuX

Last edited:

- #8

HOI

- 923

- 2

"WIP', "PDF", "AP"? I thought we were supposed to use English on this site!

- #9

karush

Gold Member

MHB

- 3,267

- 4

WIP Work In Progress

Last edited:

Share:

- Replies
- 11

- Views
- 779

- Last Post

- Replies
- 15

- Views
- 875

- Last Post

- Replies
- 13

- Views
- 1K

- Replies
- 19

- Views
- 1K

- Last Post

- Replies
- 7

- Views
- 1K

- Replies
- 24

- Views
- 1K

MHB
-apc.1.1.06

- Last Post

- Replies
- 3

- Views
- 404

- Replies
- 4

- Views
- 523

- Last Post

- Replies
- 1

- Views
- 398

- Last Post

- Replies
- 6

- Views
- 712