search

mooculus / calculus

http://mooculus.osu.edu/
Other
134 stars 388 forks source link

type of problem #967

Closed pfatheddin closed 2 months ago

pfatheddin commented 3 months ago

See linearApproximation/exercises/linearApproximation1.tex

Problem 1: https://ximera.osu.edu/mooculus/linearApproximation/exercises/exerciseList/linearApproximation/exercises/linearApproximation1 Problem 13: https://ximera.osu.edu/mooculus/linearApproximation/exercises/exerciseList/linearApproximation/exercises/LinearApproximations6

I only see Problem 1 and 13 that ask if the linear approximation estimate is overestimate or underestimate. This is an important type of problem we ask. I think more questions of this type would help. Also in both problems 1 and 13 the interval (a,x) is not given. On the written homework and exam we are asked to give the interval at which the second derivative is positive or negative so this interval is good to be stated in the two problems. These are the parts asking about overestimate or underestimate in each problem: Problem 1: image

Problem 13: image

bwramsey commented 2 months ago

Updating several problems to ask for Under/Overestimates in terms of concavity on specific intervals.