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In a population of a species a barrier forms (for example the formation of a new river, or the division between two islands). This leads to two isolated groups of the original species. In the two isolated...

∫ xsin3x dx takes the form of any integral ∫ (u)(dv/dx) dx.
∫ (u)(dv/dx) dx = uv - ∫ (v)(du/dx) dx
Taking u=x and dv/dx= sin3x. The equation can be re-written in the form uv - ∫ (v)(du/dx) dx....

Minimum point of Graph A:*complete square to find(x+2)^2 - 4 - 3 = 0(x+2)^2 - 7 = 0Therefore minimum point = (-2, -7)Minimum point of Graph B:(-2+3, -7+2) = (1, -5)*reverse complete the square method(x-1)...

As you descend group 2, more electrons are present in the atom. These electrons fill subshells at a greater energy level. There is a greater distance between the outer shell electron and the nucleus, as w...

While this is not necessarily relevant for the IB exams, it is important to keep in mind that the interest rate that we use in the macro-economic models like the AD/AS model is an approximation of cost of...