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We know that: (1) the radius of the circle to the point [4,3] is perpendicular to the tangent line, (2) if two lines are perpendicular, their gradients are negative reciprocals of each other, and (...

SER and ESTAR both mean 'To be' in English, but choosing the right one can be tricky. The most useful way to remember the difference is to decide whether what you are describing has a permanent/inbuilt qu...

Differentiate f(x) = 14x²e^{x^2}To approach this problem we first need to realise that f(x) is made up of two simpler functions multiplied together. This tells us that we should use the...

Euthanasia literally means “A good death” that comes from the Greek “eu” meaning good, and “thantos”meaning death. It must be noted that there is a key difference between euthanas...