https://padlet.com/ilimonch/8iyfaxarphm8242v Upload a solution from your group discussion en-us 2020-12-01 19:54:58 UTC 2024-11-20 17:37:06 UTC hello@padlet.com ilimonch https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/977663048 2020-12-01 20:59:57 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/977663048 ilimonch https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/977663803 2020-12-01 21:00:09 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/977663803 ilimonch https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/977664626 2020-12-01 21:00:23 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/977664626 ilimonch https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/977665275 2020-12-01 21:00:35 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/977665275 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981601292 Left: we expected to see 4 and we did see 4.

Right Expected to see 4 but only saw 3. It's because of the formula delta x = (b-a)/n which determines the width of rectangles we would have and we were only able to fit 3, therefore we are only able to use 3 triangles to do the right Reiman sum.]]> 2020-12-02 20:20:11 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981601292 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981604640 a. Expect to see 4, but we see 3. Not sure the reason
b. Still 3 rectangles]]> 2020-12-02 20:21:11 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981604640 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981608658 expected 4 but only see 3. this is because the first rectangle has an area of zero.

]]> 2020-12-02 20:22:17 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981608658 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981609146 a.4, 3
b.3]]> 2020-12-02 20:22:25 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981609146 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981611690 Left points: 3 rectangles
Right points: 3 rectangles 

]]> 2020-12-02 20:23:07 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981611690 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981612557 a) 3
b) 3]]> 2020-12-02 20:23:22 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981612557 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981619217 If Left hand reiman sum is an overestimate since some of the rectangles shapes go outside the curve.

Right hand is an underestimate since rectangles are under the curve and does not fully cover the area of the curve.]]> 2020-12-02 20:25:07 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981619217 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981622349 a. 3 rectangles for one rectangle has a height of 0 at a=-3.
b. still 3 rectangles]]> 2020-12-02 20:26:00 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981622349 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981625911 c. n not smaller than 4 for 16/3=5.333... so the sum of area of rectangles have to be smaller than 6.333...
d. any value]]> 2020-12-02 20:26:59 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981625911 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981626993 I mean we are talking four units from a=-3 and b=1]]> 2020-12-02 20:27:19 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981626993 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981627371 c) n=4
d)n=11]]> 2020-12-02 20:27:26 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981627371 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981628563 when n=4, sum =6.25, which is within one unit of 16/3=5.3
d. n=5 sum=4.48

]]> 2020-12-02 20:27:47 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981628563 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981637694 The signed area between the x-axis and the curve between x = -0.5 and x =2 will be positive ]]> 2020-12-02 20:30:26 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981637694 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981642262 Righthand is overestimate and lefthand is underestimate

]]> 2020-12-02 20:31:41 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981642262 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981645457 c. n>=4
d. any positive integral]]> 2020-12-02 20:32:31 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981645457 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981646337 a. underestimates for there is always area that below the curve is not counted.
b. overestimates for there is always area that above the curve is counted.]]> 2020-12-02 20:32:47 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981646337 https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981656490 negative for the area below x-axis are marked negative on the GeoGebra, though it should be positive for area is always positive]]> 2020-12-02 20:35:46 UTC https://padlet.com/ilimonch/8iyfaxarphm8242v/wish/981656490