Recent content by darkp0tat0

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    Partial Derivative of Composite Functions

    Thanks for your quick reply! I think I get what you mean by ∂u can't exist by itself. Do you think you would be able to take a look at the original equation I posted: z = g(u) + f(v), \frac{∂^{2}z}{∂u∂v} = 0 Does that still hold true even when you can't hold v or u constant while...
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    Partial Derivative of Composite Functions

    Any help would be much appreciated - Is it possible to say the following? If z = g(s+at) + f(s-at), let u = s+at and v=s-at, where a is a constant. z = g(u) + f(v), \frac{∂z}{∂u} = g'(u), \frac{∂^{2}z}{∂v∂u} = 0? or can ∂u and ∂v not even exist because it depends on two variables (a and...
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    Energy change and work involved in lifting a ball

    I was thinking about the work-energy theorem today and how it states that: Wnet = ΔEkinetic If this is true, then when a ball is moved upward a distance of d, the net work done is equal to zero because there is no change in kinetic energy. Because: Work = Force x Displacement for...
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