dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow
By A Mystery Man Writer
Description
Note: I asked this on Mathematics SE and even though @TheSimpliFire offered a bounty on it, no-one had a good answer
Find the optimal shape of a coffee cup for heat retention. Assuming
A constant
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://cdn.numerade.com/previews/ba9e76e0-cebb-4a10-b17a-a4e47ced954e_large.jpg)
⏩SOLVED:In Exercise 14 in Section 9.1 we considered a 95^oC cup
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://d2nchlq0f2u6vy.cloudfront.net/18/12/29/9e282d4ba8ea7d3636fac14c8b3a3b9c/ff291b90a29a10d30101f4d95ade957c/lateximg.png)
A physicist makes a cup of instant coffee and notices that
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://i.ytimg.com/vi/WpicX1PUXeE/hq720.jpg?sqp=-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD&rs=AOn4CLCY0WWS_OWrLstlArFMf1d5h2vjXA)
Calculus I Related Rates Making Coffee
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://d2vlcm61l7u1fs.cloudfront.net/media%2Fae0%2Fae025afb-687e-4813-9e66-4942cd169994%2FphpELnzFp.png)
Solved Suppose you have just poured a cup of freshly brewed
Related rates: water pouring into a cone (video)
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://media.cheggcdn.com/study/0cb/0cb0b83c-9263-4e9b-82f4-9f6ad1461034/image.png)
Solved 5. [0.5/1 Points] DETAILS PREVIOUS ANSWERS SCALCCC4
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://i.ytimg.com/vi/6YRLKMIvmQg/mqdefault.jpg)
Calculus - C4 - Related Rates - Coffee problem
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://www.caffesociety.co.uk/blog/wp-content/upLoads/2016/11/maths-of-the-perfect-coffee.jpg)
The maths of the perfect coffee
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://i.ytimg.com/vi/-v4IuDHkJiU/hqdefault.jpg)
Differential Equations - Coffee Cooling - Separable Example
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://d2nchlq0f2u6vy.cloudfront.net/18/12/26/35ff2656f369bd3f3fbd2deab9a37700/26e4260bef64b9d7418284ba4f94845a/lateximg.png)
A cup of hot coffee sits on your desk. Assume that some of t
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://media.cheggcdn.com/media/629/629a504d-45a5-4595-9238-e70c064648b7/phpbyJzpX.png)
Solved (1 point) A cup of coffee at 190 degrees is poured
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://d2nchlq0f2u6vy.cloudfront.net/19/07/17/2714eff68e530f1133da38e67d49341c/35db0bb942a482037d9b4e4b37eb6d1d/lateximg.png)
a) A cup of coffee is made with boiling water and stands in
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://i.ytimg.com/vi/aPKGndMLJ2g/sddefault.jpg)
Calculus 1 - Derivatives and Related Rates (15 of 24) Filling a
![dg.differential geometry - What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate? - MathOverflow](https://i.stack.imgur.com/KkcQt.jpg)
dg.differential geometry - What is the shape of the perfect coffee
Solved A cup of coffee cools at rate proportional to the
from
per adult (price varies by group size)