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Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Physics@TheCulture is curated by Aaron. [...]

Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Physics@TheCulture is curated by Aaron. [...]

Physics@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Math@TheCulture is curated by Aaron. More [...]

Given that , find the approximate percentage change in when increases from 2 by 2%.  

A gambler bets on one of the integers from 1 to 6. Three fair dice are then rolled. If the gambler’s number appears times (), he wins latex k1. Calculate the gambler’s expected winnings

Another interesting vectors question. The fixed point has position vector a relative to a fixed point . A variable point has position vector r relative to . Find the locus of if r (r – a) = 0.

This is a question a student sent me a few days back, and I shared with my class. Find the Cartesian equation of the locus of all points (plane) that is equidistant of the plane and plane. The [...]

When , it implies we have a stationary point. To determine the nature of the stationary point, we can do either the first derivative test or the second derivative. The first derivative test: [...]

Environment is a common and easy essay question that could potentially come out for the exams… Students should always analyze their essays from a stakeholder’s perspective to give a [...]

If , where , and are all non-zero vectors, show that bisects the angle between and .