MHB Cobb-Douglas Production Function

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The discussion centers on the proper way to seek help with mathematical problems, specifically regarding the Cobb-Douglas production function Q = AL^α K^β. A user is criticized for simply posting a problem without attempting a solution or engaging in the discussion. The importance of demonstrating effort and seeking guidance collaboratively is emphasized, contrasting it with another user who successfully received help after showing initiative. The conversation encourages a more interactive approach to problem-solving in academic forums. Engaging actively in discussions is vital for effective learning and assistance.
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For a Cobb-Douglas production function Q = AL^α K^β, verify the following equations:
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Hello, welcome here.

Sorry for being a bit acidic today, but I don't think this is a nice way to post problems. Essentially, you a "dumping" your problem here (which seems to be from a take-home exam or a graded problem set) and then, without any further comment or attempt at a solution, expect others to solve it for you.

Yesterday I saw in passing that another new user posted a problem. It it https://mathhelpboards.com/differential-equations-17/mixing-common-drain-page-537-46-fundamentals-differential-equations-bvp-nagle-24231.html. Can you see the difference? (I am not talking about the mathematical content.) He then received help, continued to think along, and got his result verified. I think that's very nice.

So, for your case, starting with (a), what did you try and what difficulties are you facing?

Best wishes,

Sebastiaan.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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