• anonymous
The solution to Problem 3, PSet 10 contains errors and inconsistencies. The problem states that the curve of the trough is given by z=(1/100)x**4, but the lower limit for the integral is given as (1/81)x**4. The length of the trough is stated as 200m, but the picture shows a length of 300m and the solution uses a length of 100m. Finally, the density of water is listed as 1kg/m*3. The solution uses 1000kg/m*3. Note that kg, not g are the correct units for finding energy in joules.
OCW Scholar - Multivariable Calculus
  • Stacey Warren - Expert
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  • chestercat
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  • phi
yes, both the question and answer are a mess. if z goes to 81 we get nicer x values using z= x^4/81 (x= -9 to +9) and who knows what the length is. further, evaluating the iterated integral given in the solution, I get 1.14e9 J which does not match the quoted result of 5.14e10 Joules.
  • baru

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