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Using the chain rule, we let u = sin(x) and v = x^2. Then dy/dx = u dv/dx + v du/dx. dv/dx = 2x and du/dx = cos(x). So dy/dx = sin(x) 2x + x^2 cos(x).

=(5a x 3a) + (5a x -4b) + (3a x -2b) + (-2b x -4b) =15a^2 - 20ab - 6ab + 8b^2 =15a^2 - 26ab + 8b^2

A reflected microwave will have a decreased wavelength, increased frequency and same speed when compared to an emitted microwave.

Distillation is a process used to seperate a liquid from a mixture of different liquids. It works on the basis that liquids have different boiling points. A common example is ethanol and water. The liquid wi...

Crude oil is separated by fractional distillation. Crude oil is heated to vaporize the different hydrocarbons in a tank which is cool at the top and hot at the bottom. The vapours then rise and the different...