derivatives and integrals
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derivatives and integrals
Can someone explain what Lavelle was going over in lecture today about how dV or the derivative in V solves for something? And also I don't understand why the main equation we went over today involves taking an antiderivative/integral. Is this because we want to solve for the derivative and find the change in a given system?
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Re: derivatives and integrals
Work is the integral of the product of force and displacement. In class, he used that definition of work to derive the formula for work done by a piston. However, you can just use the formula using delta V because that is more applicable to the scope of this class.
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Re: derivatives and integrals
He gave us two equations that were the same thing, just in different forms. The integral and the other equation mean the same thing; it's just different math.
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Re: derivatives and integrals
The integral is used to find the work. It's probably best to use the other equation he taught us, the integral was more for deriving the equation.
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Re: derivatives and integrals
When Dr. Lavelle uses derivatives and integrals, it just a way to show how he was able to derive the equations. They are more just used as proofs. Use the equations that are derived.
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Re: derivatives and integrals
He showed a way to solve using calculus to show how the equation was derived.
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Re: derivatives and integrals
he won't actually have us do the calculus he was just showing us how he got to the equations
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