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The first thing to do for part a) is work out the vertical component of the velocity. By drawing a triangle where 30m/s is the hypotenuse with angles of 30 degrees, 90 degrees, and 60 degrees, and by appl...

By the power rule, the derivative of x^(n) is nx(n^1) and by the chain rule, the derivative of g(h(x)) is g'(h(x))h'(x).
Let g(x)=x^(1/2) and h(x)=3x+2 so that f(x)=g(h(x)).

Then by the power...

Some students struggle to solve equations with unknowns on both sides. I think the easiest way to solve these types of equations is to use the balance method. This is where you treat the equation like a w...

Genetic diversity within a population is the variety of different alleles (versions) of genes present, which lead to a variety of phenotypes. It is important for a number of reasons, such preventing inbre...

As we move across the period electrons occupy the same outer electron shell, having roughly the same distance to the nucleus. Moving across the period nuclear charge increases as the number of protons in ...