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For this question, we have to integrate x² multiplied by sin(x). For integrating a product, you must use a method called integration by parts. Without bogging ourselv...

The force of gravity decreases very rapidly with distance, since force is inversely proportional to distance² . The Sun is much further away from the Moon than the Earth, so its gravitational a...

First we will rewrite y so it is written with a power: y=1/x²-2x-1=(x²-2x-1)^-1 Now let u=x²-2x-1 => du/dx = 2x -2 Writing y in terms of u: y=u^-1 =...

A 15% increase means that the £80,000 represents 115% of the original value.

Therefore what we do is:

£80,000=£125% divided by 125 

...

A detailed answer to this question would start by defining and explaining the economic term - scarcity and establishing the relationship between our infinite needs and wants and finite resources. This wou...