1 / 12

Warmup: find the area under the curve from x = 0 to x = 4

Warmup: find the area under the curve from x = 0 to x = 4. Use a couple of different RAMs and let’s see if the ‘one true answer’ doesn’t emerge. . ‘AREA’ as an emergent property (LRAM side). ‘AREA’ as an emergent property (RRAM side).

cate
Download Presentation

Warmup: find the area under the curve from x = 0 to x = 4

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warmup: find the area under the curve from x = 0 to x = 4 Use a couple of different RAMs and let’s see if the ‘one true answer’ doesn’t emerge.

  2. ‘AREA’ as an emergent property (LRAM side)

  3. ‘AREA’ as an emergent property (RRAM side)

  4. In words, the integral (calculation of area) is the area that emerges as we Let the n  ∞.The Value, the Area, ‘emerges’ regardless of the choice of model! We can approximate this using our calculator by • Calculating and storing Δx Remember: • setting up the summation equation, Remember the equation changes for different RAMs. • Increasing n and re-storing Δx • Recalling and re-evaluating the summation equation. If we are comfortable with the calculator, we can generate 5 estimates in a single minute, showing a powerful trend toward a SINGLE value for AREA.

  5. New task: The Velocity of a model plane is given by V(t) = 2ln(t + 1) + 8, with t in seconds and velocity in Meters/second. Use the process we outlined: through a series of estimates, make a prediction for the “area under the curve” in the first 10 seconds.

  6. In case we don’t talk about during class: Quiz on calculator prowess Monday Also on the table work we do next. The “area” from that last slide is really DISTANCE It comes with units: meters

  7. I drive a Honda Civic si. Road and Track analyzed this car a few years ago and found these characteristics:

  8. Hopefully, I remembered to ask you what the units were, what was going on, etc. Let’s use this page to keep track of those answers

  9. By the time the car is moving at 100mph, 17 seconds has elapsed. How far away is the car?

  10. Back to the data table: enter the data into your lists; let’s convert to feet / second(there are 5,280 feet in a mile and 60x60 seconds in an hour – let’s use a little dimensional analysis)

  11. Take L2 x 5280 / 3600 and store it in …L2Your new values compare seconds From start to Feet per second

  12. At this point, it get hard to run class from a powerpoint….But I still want to know: How many “feet” has the car moved?

More Related