Recent content by girlygirl93

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    Optimizing Fish Swimming Energy: Finding Minimal Expenditure

    ** sorry not variables, I meant different constants that are not numerical.
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    Optimizing Fish Swimming Energy: Finding Minimal Expenditure

    That makes sense but for the graph I don't understand how to plot it with so many variables involved. Wouldn't introducing another variable just make it more complicated?
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    Optimizing Fish Swimming Energy: Finding Minimal Expenditure

    The energy required by a fish swimming at speed v to travel a distance L>0 in a current of speed u>0 is given by E(v) = aL((v^3)/(v-u)), v>u where a>0 is a proportionality constant. a) Find the speed of the fish which results in minimal energy expenditure. b) Give a qualitative sketch of...
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    The energy required by a fish swimming at speed v to travel a distance

    The energy required by a fish swimming at speed v to travel a distance L>0 in a current of speed u>0 is given by E(v) = aL((v^3)/(v-u)), v>u where a>0 is a proportionality constant. a) Find the speed of the fish which results in minimal energy expenditure. b) Give a qualitative sketch of...
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    How to Optimize Cone Volume with Given Slant Height?

    Hello there :) I'm having tons of trouble figuring out how to finish this problem. A cone is to be constructed having a given slant height of l>0 . Find the radius and height which give maximal volume. I am unsure of which variables to keep in order for it to be maximized, and how to...