squirtlesquad
New member
- Joined
- Nov 13, 2015
- Messages
- 2
Hi, I'm taking calculus this semester and my professor assigned the class a take home project hooray. I'm having a hard time starting this so any and all help would greatly be appreciated. The project is to
Give a detailed solution to the problem posed below, introducing variables, as needed and appropriate expositiondescribing what you are doing and why, using diagrams and graphs, etc.1 A Greenhouse Extension
Your parents are going to knock out the bottom of the entire length of the south wall of their houseand turn it into a greenhouse by replacing some bottom portion of the wall by a huge sloped piece of glass(which is expensive). They have already decided they are going to spend a certain fixed amount. Thetriangular ends of the greenhouse will be made of various materials they already have lying around.The floor space in the greenhouse is only considered usable if they can both stand up in it, so part ofit will be unusable, but they don’t know how much. Of, course this depends on how they configure thegreenhouse. They want to choose the dimensions of the greenhouse to get the most usable floor space init, but they are at a real loss to know what the dimensions should be and how much usable space theywill get. Fortunately they know you are taking calculus. Amaze them.
I am having a hard time starting the project. The goal is to find a formula on how to optimize usable floor space in the green house since at some point the height of the slanted glass will be too low for some one to walk. However I'm not sure what variables are constant an which ones I need to add. so far my train of thinking is If the amount of money for the glass is fixed then so is the size of the glass that can be bought. If that is the case then buying the biggest piece of glass allowable would be the way to maximize usable floor space. But then would this really be a problem since the answer would just be buy a the most glass you can? I'll attach a document with some stuff i jotted down along with a little diagram i made of the green house. Please help i need a starting point.
Give a detailed solution to the problem posed below, introducing variables, as needed and appropriate expositiondescribing what you are doing and why, using diagrams and graphs, etc.1 A Greenhouse Extension
Your parents are going to knock out the bottom of the entire length of the south wall of their houseand turn it into a greenhouse by replacing some bottom portion of the wall by a huge sloped piece of glass(which is expensive). They have already decided they are going to spend a certain fixed amount. Thetriangular ends of the greenhouse will be made of various materials they already have lying around.The floor space in the greenhouse is only considered usable if they can both stand up in it, so part ofit will be unusable, but they don’t know how much. Of, course this depends on how they configure thegreenhouse. They want to choose the dimensions of the greenhouse to get the most usable floor space init, but they are at a real loss to know what the dimensions should be and how much usable space theywill get. Fortunately they know you are taking calculus. Amaze them.
I am having a hard time starting the project. The goal is to find a formula on how to optimize usable floor space in the green house since at some point the height of the slanted glass will be too low for some one to walk. However I'm not sure what variables are constant an which ones I need to add. so far my train of thinking is If the amount of money for the glass is fixed then so is the size of the glass that can be bought. If that is the case then buying the biggest piece of glass allowable would be the way to maximize usable floor space. But then would this really be a problem since the answer would just be buy a the most glass you can? I'll attach a document with some stuff i jotted down along with a little diagram i made of the green house. Please help i need a starting point.
