Maximizing Functions: Tips and Techniques

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Homework Help Overview

The discussion revolves around maximizing functions, specifically in the context of a mathematical problem involving exponential terms. Participants are exploring methods to find maximum values of a given function.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss setting derivatives to zero as a method for finding maxima. There is a question about how to manipulate exponential terms in the equation. One participant reflects on their own correction regarding the approach taken.

Discussion Status

The discussion includes attempts to clarify the correct method for maximizing the function. Some guidance has been offered regarding the proper use of derivatives, and there is acknowledgment of self-correction among participants.

Contextual Notes

There are references to specific values and conditions in the problem, but the details of the function and its constraints are not fully outlined in the discussion.

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I think I set y(t) to 0. If this is the case, I get:
0 = -100e^(-1/20t) + 150e^(-1/40t)

How do I get rid of the e's? I'm not sure how with the numbers is front. Without the numbers in front I know I could rise them to ln.
 
Nevermind, I got it...56.25lbs...
 
Hey killersanta.. it seems like this is probably what you've done, but you should have set y'(t) to 0, not y(t). Considering you get an answer which seems reasonable and is not 0, it seems like you've self-corrected already.. but just to be sure.
 
Yeah, I caught that. Thank you though.
 

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