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Start by differentiating x² – 3xy – 4y² + 64 = 0 with respect to x to obtain an equation in x, y and dy/dx:
2x – 3y – 3x.dy/dx – 8y.dy/dx = 0 [use the product rule to differe...

As we are integrating, we must decide which method to use. As the integrand is of the form f(x)*g(x), integration by parts seems to make sense. Firstly, let L = INT(sin(x)*e^x). So we want to find L - thi...

A compiler produces an object or executable file that can be manually run after the source code is compiled. On the other hand, the interpreter doesn't produce an executable file, rather it will simulate ...

(Question can be sketched with a graph) Firstly, in order to have atmospheric pressure, air molecules must collide with a surface, in this case the face of the Earth. As you gain altitude (height from fac...

Starting with: 2tanθsinθ = 4 - 3cosθ . We can rewrite tanθ in terms of sinθ and cosθ.We know: tanθ = sinθ ÷ cosθ .By substituting we get: 2(sinθ ÷ cosθ)sinθ = 4 - 3cosθ .Let's multiply out by cosθ to get:...