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The subjunctive is most commonly used in expressions of doubt ("dudo que + subj", "no creo que + subj") and the negative and formal imperative ("no hagas eso!", "por fav...
The point of using a substitution when dealing with integrals is to reduce the problem from a very complicated integral to a simplistic one. How can we achieve this with our integral? Well, we know that w...
The lungs have million of alveoli which increases the surface area, therefore increasing the rate of diffusion of oxygen into the lungs. The alveoli are very thin...
Long-term growth is defined as an increase in the productive capacity of an economy, which is due to the increase in the quality or quantity of an economy's factors of production (FoP). These barriers may...
The factor theorem states that if (x+a) is a factor of f(x), then f(-a)=0. This basically means that if (x+a) is a factor of f(x), then when (x+a)=0, f(x)=0, i.e. when x=-a, f(-a)=0. Our (x+a) in this cas...
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