Recent content by gersetaffe

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    Why Do Equivalent Expressions Yield Different Integrals?

    My high school calculus teacher always told us to remember the constants. Should have listened haha ... thanks JJacquelin and micromass
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    Why Do Equivalent Expressions Yield Different Integrals?

    Hi, Wanted to know if anyone could explain why if you simplify an expression into a different equivalent form, the integrations are different depending on which form you use. For example: \frac{1}{\frac{5x}{7}+3} = \frac{1}{\frac{5}{7}(x+4.2)} \int\frac{1}{\frac{5x}{7}+3}dx =...
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    Ideal thermal efficiency impossible?

    I know a heat engine can never be 100% efficient. There has to be a cold reservoir that some of the heat is rejected to. Why is that? I know it is because of entropy, but could someone please provide some further explanation. Thanks.
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    Hot air balloon thermodynamics

    In hot air balloons the air inside the envelope stays at atmospheric pressure because of the hole in the bottom and the volume of the envelope is essentially constant. Yet in order to raise the balloon it must be heated which increases the its temperature. If the temperature increases how does...
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